[Text] : статья / V.M. Sadovsky, O.V. Sadovskaya, M.P. Varygina // International Journal of Numerical Analysis and Modeling, Series B. - 2011. - № 2-3. - p. 215-230
Полный текст
Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44
Доп.точки доступа:
Sadovskaya, O.V.; Садовская, Оксана Викторовна; Varygina, M.P.; Варыгина, Мария Петровна; Садовский, Владимир Михайлович
Труды сотрудников ИВМ СО РАН
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Найдено документов в текущей БД: 32
Numerical solution of dynamic problems in couple-stressed continuum on multiprocessor computer systems
Parallel Program Systems for Modeling Elastic-Plastic Waves in Structurally Inhomogeneous Materials
/ V. M. Sadovskii, O. V. Sadovskaya ; ed. by T.E.Simos [et al.] // NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B. Ser. AIP Conference Proceedings : AMER INST PHYSICS, 2012. - Vol. 1479: International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) (SEP 19-25, 2012, Kos, GREECE). - pp. 1611-1614, DOI 10.1063/1.4756474. - Cited References: 4
. - ISBN 0094-243X. - ISBN 978-0-7354-1091-6
РУБ Mathematics, Applied + Physics, Applied
Кл.слова (ненормированные):
Dynamics -- Rheology -- Microstructure -- Elasticity -- Plasticity -- Granular material -- Cosserat continuum -- Shock wave -- Variational inequality -- Finite-difference scheme -- Parallel computational algorithm
Аннотация: Parallel program systems for numerical solution of 2D and 3D problems of the dynamics of deformable media with constitutive relationships of rather general form on the basis of universal mathematical model describing small strains of elastic, elastic-plastic and granular materials are worked out. Some computations of dynamic problems with and without taking into account the moment properties of a material were performed on supercomputers with cluster architecture.
РИНЦ
Доп.точки доступа:
Sadovskii, V.M.; Садовский, Владимир Михайлович; Sadovskaya, O.V.; Садовская, Оксана Викторовна; Simos, T.E. \ed.\; Psihoyios, G. \ed.\; Tsitouras, C. \ed.\
Кл.слова (ненормированные):
Dynamics -- Rheology -- Microstructure -- Elasticity -- Plasticity -- Granular material -- Cosserat continuum -- Shock wave -- Variational inequality -- Finite-difference scheme -- Parallel computational algorithm
Аннотация: Parallel program systems for numerical solution of 2D and 3D problems of the dynamics of deformable media with constitutive relationships of rather general form on the basis of universal mathematical model describing small strains of elastic, elastic-plastic and granular materials are worked out. Some computations of dynamic problems with and without taking into account the moment properties of a material were performed on supercomputers with cluster architecture.
РИНЦ
Доп.точки доступа:
Sadovskii, V.M.; Садовский, Владимир Михайлович; Sadovskaya, O.V.; Садовская, Оксана Викторовна; Simos, T.E. \ed.\; Psihoyios, G. \ed.\; Tsitouras, C. \ed.\
Engineering, Electrical & Electronic
S53
S53
Reduced Absorption of Resonance Radiation in Expanding Gas
/ N.Y. Shaparev // 2012 INTERNATIONAL CONFERENCE ON OPTOELECTRONICS AND MICROELECTRONICS (ICOM) : IEEE COMPUTER SOC, 2012. - International Conference on Optoelectronics and Microelectronics (ICOM) (AUG 23-25, 2012, Changchun, PEOPLES R CHINA). - pp. 342-345. - Cited References: 14
. - ISBN 978-1-4673-2639-1
РУБ Engineering, Electrical & Electronic + Nanoscience & Nanotechnology + Optics
Аннотация: The paper deals with absorption of resonance and continuum radiation in an expanding gaseous sphere. For self-similar expansion, a probability of radiation to be transmitted is studied depending on the velocity gradient and optical thickness. It is shown that an optically thick medium grows thinner with the velocity gradient.
РИНЦ
Доп.точки доступа:
Шапарев, Николай Якимович
Рубрики:
SCORPII
Кл.слова (ненормированные):
line shapes -- widths -- emission -- absorption -- scattering of electromagnetic radiationr -- radiative processes -- solar radiation
SCORPII
Кл.слова (ненормированные):
line shapes -- widths -- emission -- absorption -- scattering of electromagnetic radiationr -- radiative processes -- solar radiation
Аннотация: The paper deals with absorption of resonance and continuum radiation in an expanding gaseous sphere. For self-similar expansion, a probability of radiation to be transmitted is studied depending on the velocity gradient and optical thickness. It is shown that an optically thick medium grows thinner with the velocity gradient.
РИНЦ
Доп.точки доступа:
Шапарев, Николай Якимович
Resonant properties of moment Cosserat continuum
[Text] / M.P. Varygina, O.V. Sadovskaya, V.M. Sadovskii // J. Appl. Mech. Tech. Phys. - 2010. - Vol. 51, Is. 3. - pp. 405-413, DOI 10.1007/s10808-010-0055-5. - Cited References: 9. - This work was supported by the Russian Foundation for Basic Research (Grant No. 08-01-00148), the Complex Program of Basic Research of the Presidium of the Russian Academy of Sciences No. 2 Intelligent information technologies, mathematical modeling, system analysis and automation, and the interdisciplinary Integration project of the Siberian Division of the Russian Academy of Sciences No. 40.
. - ISSN 0021-8944
РУБ Mechanics + Physics, Applied
Аннотация: Using highly effective parallel calculations, it is shown that in a moment elastic medium, there is a resonant frequency which corresponds to the eigenfrequency of rotational motion of particles and does not depend on the size of the region studied.
Доп.точки доступа:
Varygina, M.P.; Варыгина, Мария Петровна; Sadovskaya, O.V.; Садовская, Оксана Викторовна; Sadovskii, V.M.; Садовский, Владимир Михайлович
Аннотация: Using highly effective parallel calculations, it is shown that in a moment elastic medium, there is a resonant frequency which corresponds to the eigenfrequency of rotational motion of particles and does not depend on the size of the region studied.
Доп.точки доступа:
Varygina, M.P.; Варыгина, Мария Петровна; Sadovskaya, O.V.; Садовская, Оксана Викторовна; Sadovskii, V.M.; Садовский, Владимир Михайлович
Parallel program systems for problems of the dynamics of elastic-plastic and granular media
/ O. V. Sadovskaya // Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). - 2013. - Vol. 8236 LNCS: 5th International Conference on Numerical Analysis and Applications, NAA 2012 (15 June 2013 through 20 June 2013, Lozenetz. - P471-478, DOI 10.1007/978-3-642-41515-9_53
. -
Кл.слова (ненормированные):
Cosserat continuum -- Dynamics -- elasticity -- granular medium -- parallel computational algorithm -- plasticity -- shock-capturing method
Аннотация: Parallel program systems for numerical solution of 2D and 3D problems of the dynamics of deformable media with constitutive relationships of rather general form on the basis of universal mathematical model describing small strains of elastic, elastic-plastic and granular materials are worked out. Computational algorithm is based on the splitting methods with respect to physical processes and spatial variables. Some computations of dynamic problems with and without taking into account the moment properties of a material were performed on clusters. В© 2013 Springer-Verlag.
Scopus,
Полный текст
Держатели документа:
Institute of Computational Modeling SB RAS, Akademgorodok 50/44, 660036 Krasnoyarsk, Russian Federation
Доп.точки доступа:
Sadovskaya, O.V.; Садовская, Оксана Викторовна
Кл.слова (ненормированные):
Cosserat continuum -- Dynamics -- elasticity -- granular medium -- parallel computational algorithm -- plasticity -- shock-capturing method
Аннотация: Parallel program systems for numerical solution of 2D and 3D problems of the dynamics of deformable media with constitutive relationships of rather general form on the basis of universal mathematical model describing small strains of elastic, elastic-plastic and granular materials are worked out. Computational algorithm is based on the splitting methods with respect to physical processes and spatial variables. Some computations of dynamic problems with and without taking into account the moment properties of a material were performed on clusters. В© 2013 Springer-Verlag.
Scopus,
Полный текст
Держатели документа:
Institute of Computational Modeling SB RAS, Akademgorodok 50/44, 660036 Krasnoyarsk, Russian Federation
Доп.точки доступа:
Sadovskaya, O.V.; Садовская, Оксана Викторовна
Hydrodynamics beyond Navier-Stokes: The slip flow model
[Text] : статья / W. P. Yudistiawan, S. Ansumali, I. V. Karlin // Physical review E. - 2008. - Vol. 78. - Ст. 016705, DOI 10.1103/PhysRevE.78.016705
. - ISSN 1539-3755
Аннотация: Recently, analytical solutions for the nonlinear Couette flow demonstrated the relevance of the lattice Boltzmann (LB) models to hydrodynamics beyond the continuum limit [S. Ansumali et al., Phys. Rev. Lett. 98, 124502 (2007)]. In this paper, we present a systematic study of the simplest LB kinetic equation—the nine-bit model in two dimensions—in order to quantify it as a slip flow approximation. Details of the aforementioned analytical solution are presented, and results are extended to include a general shear- and force-driven unidirectional flow in confined geometry. Exact solutions for the velocity, as well as for pertinent higher-order moments of the distribution functions, are obtained in both Couette and Poiseuille steady-state flows for all values of rarefaction parameter (Knudsen number). Results are compared with the slip flow solution by Cercignani, and a good quantitative agreement is found for both flow situations. Thus, the standard nine-bit LB model is characterized as a valid and self-consistent slip flow model for simulations beyond the Navier-Stokes approximation.
Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44
Доп.точки доступа:
Ansumali, Santosh; Karlin, I.V.; Карлин, Илья Вениаминович
Аннотация: Recently, analytical solutions for the nonlinear Couette flow demonstrated the relevance of the lattice Boltzmann (LB) models to hydrodynamics beyond the continuum limit [S. Ansumali et al., Phys. Rev. Lett. 98, 124502 (2007)]. In this paper, we present a systematic study of the simplest LB kinetic equation—the nine-bit model in two dimensions—in order to quantify it as a slip flow approximation. Details of the aforementioned analytical solution are presented, and results are extended to include a general shear- and force-driven unidirectional flow in confined geometry. Exact solutions for the velocity, as well as for pertinent higher-order moments of the distribution functions, are obtained in both Couette and Poiseuille steady-state flows for all values of rarefaction parameter (Knudsen number). Results are compared with the slip flow solution by Cercignani, and a good quantitative agreement is found for both flow situations. Thus, the standard nine-bit LB model is characterized as a valid and self-consistent slip flow model for simulations beyond the Navier-Stokes approximation.
Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44
Доп.точки доступа:
Ansumali, Santosh; Karlin, I.V.; Карлин, Илья Вениаминович
OPTIMAL SYSTEMS OF SUBALGEBRAS AND 2ND-RANK INVARIANT SOLUTIONS TO 3-DIMENSIONAL EULER EQUATIONS
[Text] / Y. V. SHANKO, O. V. KAPTSOV // Differ. Equ. - 1994. - Vol. 30, Is. 10. - P1678-1683. - Cited References: 10
. - ISSN 0012-2661
РУБ Mathematics
Аннотация: More than thirty years ago Ovsyannikov published his book Group Properties of Differential Equations [1]. Since then admissible groups were established, invariant and partially invariant solutions to equations of mathematical physics were found, and new applications of group methods were introduced [2-4]. These advances led to the necessity of a more detailed investigation of the group properties of differential equations. In this connection, Ovsyannikov proposed the project SUBMODELS [5, 6]. An aim of this project is to construct essentially different reduced systems for mathematical models in continuum mechanics. This problem is reduced to a complex algebraic problem to find the optimal system of subgroups [2] of the main group admissible by the model considered. In the present paper we describe the optimal systems of one- and two-dimensional subalgebras of an infinite-dimensional Lee algebra admissible by the three-dimensional unsteady-state Euler equations. We find some exact second-rank invariant solutions.
WOS
Держатели документа:
RUSSIAN ACAD SCI,CTR COMP,KRASNOYARSK,RUSSIA
ИВМ СО РАН
Доп.точки доступа:
SHANKO, Y.V.; Шанько, Юрий Вадимович; KAPTSOV, O.V.; Капцов, Олег Викторович
Аннотация: More than thirty years ago Ovsyannikov published his book Group Properties of Differential Equations [1]. Since then admissible groups were established, invariant and partially invariant solutions to equations of mathematical physics were found, and new applications of group methods were introduced [2-4]. These advances led to the necessity of a more detailed investigation of the group properties of differential equations. In this connection, Ovsyannikov proposed the project SUBMODELS [5, 6]. An aim of this project is to construct essentially different reduced systems for mathematical models in continuum mechanics. This problem is reduced to a complex algebraic problem to find the optimal system of subgroups [2] of the main group admissible by the model considered. In the present paper we describe the optimal systems of one- and two-dimensional subalgebras of an infinite-dimensional Lee algebra admissible by the three-dimensional unsteady-state Euler equations. We find some exact second-rank invariant solutions.
WOS
Держатели документа:
RUSSIAN ACAD SCI,CTR COMP,KRASNOYARSK,RUSSIA
ИВМ СО РАН
Доп.точки доступа:
SHANKO, Y.V.; Шанько, Юрий Вадимович; KAPTSOV, O.V.; Капцов, Олег Викторович
Absorption of continuum radiation in a resonant expanding gaseous sphere
[Text] / N. Y. Shaparev // J. Phys. B-At. Mol. Opt. Phys. - 2014. - Vol. 47, Is. 22. - Ст. 225401, DOI 10.1088/0953-4075/47/22/225401. - Cited References: 11
. - ISSN 0953-4075. - ISSN 1361-6455
РУБ Optics + Physics, Atomic, Molecular & Chemical
Аннотация: The paper deals with absorption of external continuum radiation in a self-similarly expanding gaseous sphere. Frequency probability and integral probability of radiation absorption in the resonance frequency range are determined depending on the expansion velocity gradient and thickness of the optical medium. It is shown that expansion results in a reduced optical thickness of the medium and enhanced integral absorption.
WOS
Держатели документа:
Russian Acad Sci, Inst Computat Modeling, Krasnoyarsk 660036, Russia
ИВМ СО РАН
Доп.точки доступа:
Шапарев, Николай Якимович
Аннотация: The paper deals with absorption of external continuum radiation in a self-similarly expanding gaseous sphere. Frequency probability and integral probability of radiation absorption in the resonance frequency range are determined depending on the expansion velocity gradient and thickness of the optical medium. It is shown that expansion results in a reduced optical thickness of the medium and enhanced integral absorption.
WOS
Держатели документа:
Russian Acad Sci, Inst Computat Modeling, Krasnoyarsk 660036, Russia
ИВМ СО РАН
Доп.точки доступа:
Шапарев, Николай Якимович
Modeling of elastic waves in a blocky medium based on equations of the Cosserat continuum
/ V. M. Sadovskii, O. V. Sadovskaya // Wave Mot. - 2015. - Vol. 52. - P138-150, DOI 10.1016/j.wavemoti.2014.09.008
. - ISSN 0165-2125
Кл.слова (ненормированные):
Blocky medium -- Compliant interlayer -- Cosserat continuum -- Dynamic elasticity
Аннотация: Based on the equations of the dynamics of piecewise-homogeneous elastic material, parallel computational algorithms are developed to simulate the process of stress and strain wave propagation in amedium consisting of alarge number of blocks interacting through compliant interlayers. Computations of waves caused by localized impulse perturbations show that such amedium can be considered as isotropic only in the case of sufficiently thin interlayers. In the case of relatively thick interlayers, the anisotropy effects are observed which consist in the appearance of elongated wave fronts along the coordinate directions and characteristic oscillations of velocities and stresses because of the rotational motion of blocks. For the description of waves in ablocky medium with thin interlayers, the equations of the isotropic Cosserat continuum are applicable. As the thickness of interlayers increases, the orthotropic Cosserat continuum theory which takes into account the symmetry of elastic properties relative to the coordinate planes can be applied. By comparing the elastic wave velocities in the framework of piecewise-homogeneous model and continuum model, a simple method is obtained to estimate the mechanical parameters of the orthotropic Cosserat continuum modeling ablocky medium. In two-dimensional formulation of the orthotropic model the computational algorithm and the program system are worked out for the analysis of propagation of elastic waves. The comparison showed good qualitative agreement between the results of computations of waves caused by localized impulses, in the framework of the model of ablocky medium with compliant interlayers and the model of orthotropic Cosserat continuum.
Scopus,
WOS
Держатели документа:
Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences, Akademgorodok 50/44Krasnoyarsk, Russian Federation
Доп.точки доступа:
Sadovskii, V.M.; Sadovsky V.M.; Sadovskaya, O.V.; Садовская, Оксана Викторовна
Кл.слова (ненормированные):
Blocky medium -- Compliant interlayer -- Cosserat continuum -- Dynamic elasticity
Аннотация: Based on the equations of the dynamics of piecewise-homogeneous elastic material, parallel computational algorithms are developed to simulate the process of stress and strain wave propagation in amedium consisting of alarge number of blocks interacting through compliant interlayers. Computations of waves caused by localized impulse perturbations show that such amedium can be considered as isotropic only in the case of sufficiently thin interlayers. In the case of relatively thick interlayers, the anisotropy effects are observed which consist in the appearance of elongated wave fronts along the coordinate directions and characteristic oscillations of velocities and stresses because of the rotational motion of blocks. For the description of waves in ablocky medium with thin interlayers, the equations of the isotropic Cosserat continuum are applicable. As the thickness of interlayers increases, the orthotropic Cosserat continuum theory which takes into account the symmetry of elastic properties relative to the coordinate planes can be applied. By comparing the elastic wave velocities in the framework of piecewise-homogeneous model and continuum model, a simple method is obtained to estimate the mechanical parameters of the orthotropic Cosserat continuum modeling ablocky medium. In two-dimensional formulation of the orthotropic model the computational algorithm and the program system are worked out for the analysis of propagation of elastic waves. The comparison showed good qualitative agreement between the results of computations of waves caused by localized impulses, in the framework of the model of ablocky medium with compliant interlayers and the model of orthotropic Cosserat continuum.
Scopus,
WOS
Держатели документа:
Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences, Akademgorodok 50/44Krasnoyarsk, Russian Federation
Доп.точки доступа:
Sadovskii, V.M.; Sadovsky V.M.; Sadovskaya, O.V.; Садовская, Оксана Викторовна
Computational modeling of the waves propagation in a block medium with viscoelastic interlayers
[Text] / O. V. Sadovskaya, V. M. Sadovskii, M. P. Varygina // ECCOMAS Thematic Conference - COMPDYN 2013: 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings - An IACM Special Interest Conference. - 2013. - P4578-4592
Аннотация: In the framework of mathematical model of a block medium with elastic blocks interacting through compliant viscoelastic interlayers and its approximation on the basis of equations of the Cosserat continuum, the problems of periodic perturbation of a layer and of a half-space under the action of distributed and localized surface loads are solved numerically. The simple formulas are suggested to determine the elasticity coefficients of the moment continuum by given characteristics of the materials of blocks and interlayers, which provide a good correspondence of the wave fields received by means of the exact and approximate models. Parallel computational algorithms, based on models of the inhomogeneous elasticity theory and the Cosserat elasticity theory, are applied to the analysis of propagation of elastic waves in geomaterials with layered and block microstructure. These algorithms are realized as parallel program systems for GPUs (using CUDA technology) and for multiprocessor computers of the cluster type (using MPI library). Monotone grid-characteristic schemes with a balanced number of time steps in elastic layers or blocks and in viscoelastic interlayers are used. By the analysis of numerical solutions it is shown that the multiblock medium has a resonant frequency of rotational motion of blocks, and this frequency does not depend on the size of a massif and on the boundary conditions at its surface.
Scopus,
Полный текст на сайте конференции,
Полный текст
Доп.точки доступа:
Sadovskii, V.M.; Садовский, Владимир Михайлович; Varygina, M.P.; Варыгина, Мария Петровна; Садовская, Оксана Викторовна
Аннотация: In the framework of mathematical model of a block medium with elastic blocks interacting through compliant viscoelastic interlayers and its approximation on the basis of equations of the Cosserat continuum, the problems of periodic perturbation of a layer and of a half-space under the action of distributed and localized surface loads are solved numerically. The simple formulas are suggested to determine the elasticity coefficients of the moment continuum by given characteristics of the materials of blocks and interlayers, which provide a good correspondence of the wave fields received by means of the exact and approximate models. Parallel computational algorithms, based on models of the inhomogeneous elasticity theory and the Cosserat elasticity theory, are applied to the analysis of propagation of elastic waves in geomaterials with layered and block microstructure. These algorithms are realized as parallel program systems for GPUs (using CUDA technology) and for multiprocessor computers of the cluster type (using MPI library). Monotone grid-characteristic schemes with a balanced number of time steps in elastic layers or blocks and in viscoelastic interlayers are used. By the analysis of numerical solutions it is shown that the multiblock medium has a resonant frequency of rotational motion of blocks, and this frequency does not depend on the size of a massif and on the boundary conditions at its surface.
Scopus,
Полный текст на сайте конференции,
Полный текст
Доп.точки доступа:
Sadovskii, V.M.; Садовский, Владимир Михайлович; Varygina, M.P.; Варыгина, Мария Петровна; Садовская, Оксана Викторовна
Analysis of Elastic Waves in Blocky Media Using the Equations of Cosserat Continuum
[Text] / O. V. Sadovskaya, V. M. Sadovskii // AIP Conference Proceedings. - 2015. - Vol. 1648: International Conference on Numerical Analysis and Applied Mathematics (SEP 22-28, 2014, Rhodes, GREECE). - Ст. UNSP 630006, DOI 10.1063/1.4912864. - Cited References:5
. - ISSN 0094-243X
РУБ Mathematics, Applied + Physics, Applied
Кл.слова (ненормированные):
Dynamics -- Elasticity -- Anisotropy -- Blocky medium -- Compliant interlayer -- Cosserat continuum -- Rotational motion -- Shock wave -- Finite-difference -- scheme -- Parallel computational algorithm
Аннотация: Wave processes in blocky media with a large number of elastic blocks, interacting through compliant interlayers, are described by the equations of a piecewise-homogeneous isotropic elastic medium and by the equations of an orthotropic Cosserat continuum. Parallel program systems for numerical implementation of 2D dynamic problems on wave propagation in blocky media are worked out. Computations demonstrating the anisotropy of a blocky medium even for a sufficiently small thickness of interlayers were performed on supercomputers with cluster architecture.
WOS,
Scopus
Держатели документа:
SB RAS, Inst Computat Modeling, Krasnoyarsk 660036, Russia
Доп.точки доступа:
Sadovskaya, O.V.; Садовская, Оксана Викторовна; Sadovskii, V.M.; Садовский, Владимир Михайлович
Кл.слова (ненормированные):
Dynamics -- Elasticity -- Anisotropy -- Blocky medium -- Compliant interlayer -- Cosserat continuum -- Rotational motion -- Shock wave -- Finite-difference -- scheme -- Parallel computational algorithm
Аннотация: Wave processes in blocky media with a large number of elastic blocks, interacting through compliant interlayers, are described by the equations of a piecewise-homogeneous isotropic elastic medium and by the equations of an orthotropic Cosserat continuum. Parallel program systems for numerical implementation of 2D dynamic problems on wave propagation in blocky media are worked out. Computations demonstrating the anisotropy of a blocky medium even for a sufficiently small thickness of interlayers were performed on supercomputers with cluster architecture.
WOS,
Scopus
Держатели документа:
SB RAS, Inst Computat Modeling, Krasnoyarsk 660036, Russia
Доп.точки доступа:
Sadovskaya, O.V.; Садовская, Оксана Викторовна; Sadovskii, V.M.; Садовский, Владимир Михайлович
Mathematical Modeling of a Metal Foam as an Elastic-Plastic Continuum with Changing Resistance
[Text] / V. M. Sadovskii, O. V. Sadovskaya // AIP Conference Proceedings. - 2015. - Vol. 1648: International Conference on Numerical Analysis and Applied Mathematics (SEP 22-28, 2014, Rhodes, GREECE). - Ст. UNSP 630005, DOI 10.1063/1.4912863. - Cited References:6
. - ISSN 0094-243X
РУБ Mathematics, Applied + Physics, Applied
Аннотация: Mathematical model for the description of deformation of a porous metal is constructed on the basis of generalized rheological method, taking into account change in the resistance to external loads, when the collapse of pores occurs. Irreversible deformation is described with the help of yield condition, modeling the plastic loss of stability of a porous skeleton. For a homogeneous porous medium the fields of displacements and stresses in the problem of radial expansion of spherical and cylindrical cavities under the action of internal pressure considering the effect of collapse of pores are constructed in closed form. The algorithm of numerical realization of the model of dynamic deformation of metal foams on multiprocessor computer systems of the cluster type is worked out.
WOS,
Полный текст на сайте правообладателя,
Scopus
Держатели документа:
SB RAS, Inst Computat Modeling, Krasnoyarsk 660036, Russia
Доп.точки доступа:
Sadovskii, V.M.; Садовский, Владимир Михайлович; Sadovskaya, O.V.; Садовская, Оксана Викторовна
Рубрики:
DEFORMATION
Кл.слова (ненормированные):
Rheology -- Elasticity -- Plasticity -- Porous medium -- Expansion of cavity -- Finite-difference scheme -- Parallel computational algorithm
DEFORMATION
Кл.слова (ненормированные):
Rheology -- Elasticity -- Plasticity -- Porous medium -- Expansion of cavity -- Finite-difference scheme -- Parallel computational algorithm
Аннотация: Mathematical model for the description of deformation of a porous metal is constructed on the basis of generalized rheological method, taking into account change in the resistance to external loads, when the collapse of pores occurs. Irreversible deformation is described with the help of yield condition, modeling the plastic loss of stability of a porous skeleton. For a homogeneous porous medium the fields of displacements and stresses in the problem of radial expansion of spherical and cylindrical cavities under the action of internal pressure considering the effect of collapse of pores are constructed in closed form. The algorithm of numerical realization of the model of dynamic deformation of metal foams on multiprocessor computer systems of the cluster type is worked out.
WOS,
Полный текст на сайте правообладателя,
Scopus
Держатели документа:
SB RAS, Inst Computat Modeling, Krasnoyarsk 660036, Russia
Доп.точки доступа:
Sadovskii, V.M.; Садовский, Владимир Михайлович; Sadovskaya, O.V.; Садовская, Оксана Викторовна
Continuum Radiation Absorption in Resonant Expanding Gas Media
/ N. Y. Shaparev // Russ. Phys. J. - 2015. - Vol. 58, Is. 2. - P198-204, DOI 10.1007/s11182-015-0482-0
. - ISSN 1064-8887
Аннотация: The absorption of external radiation and continuum radiation originating from the center in a self-similar expanding gas sphere is considered. The frequency and integral probabilities of radiation absorption in a resonance frequency domain are analyzed depending on the expansion velocity gradient and the optical thickness of the medium. It is demonstrated that the optical density of the medium decreases and the integral absorption increases in the expanding medium. © 2015, Springer Science+Business Media New York.
Scopus,
WOS
Держатели документа:
Institute of Computational Modeling of the Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, Russian Federation
National Research Tomsk State University, Tomsk, Russian Federation
Доп.точки доступа:
Шапарев, Николай Якимович
Аннотация: The absorption of external radiation and continuum radiation originating from the center in a self-similar expanding gas sphere is considered. The frequency and integral probabilities of radiation absorption in a resonance frequency domain are analyzed depending on the expansion velocity gradient and the optical thickness of the medium. It is demonstrated that the optical density of the medium decreases and the integral absorption increases in the expanding medium. © 2015, Springer Science+Business Media New York.
Scopus,
WOS
Держатели документа:
Institute of Computational Modeling of the Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, Russian Federation
National Research Tomsk State University, Tomsk, Russian Federation
Доп.точки доступа:
Шапарев, Николай Якимович
Numerical modeling of a block medium as an orthotropic cosserat continuum
/ O. V. Sadovskaya, V. M. Sadovskii, M. A. Pokhabova // Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). - 2015. - Vol. 9045: 6th International Conference on Finite Difference Methods, FDM 2014; Lozenetz; Bulgaria; 18 June 2014 through 23 June 2014; Code 156479. - P340-347, DOI 10.1007/978-3-319-20239-6_37
. -
Кл.слова (ненормированные):
Block medium -- Cosserat continuum -- Dynamics -- Elasticity -- Parallel computational algorithm -- Shock-capturing method -- Computation theory -- Continuum mechanics -- Dynamics -- Elastic waves -- Elasticity -- Finite difference method -- Wave propagation -- Block medium -- Computational algorithm -- Cosserat continuum -- Couple-stress continuum -- Elastic wave velocity -- Mechanical parameters -- Piecewise-homogeneous model -- Shock-capturing method -- Algorithms
Аннотация: Based on the equations of the dynamics of a piecewisehomogeneous elastic material, parallel computational algorithms are developed to simulate the process of stress and strain wave propagation in a medium consisting of a large number of blocks, interacting through compliant interlayers. For the description of waves in a block medium with thick interlayers the orthotropic couple-stress continuum theory, taking into account the symmetry of elastic properties relative to the coordinate planes, can be applied. By comparing the elastic wave velocities in the framework of piecewise-homogeneous model and continuum model, the simple method is obtained to estimate mechanical parameters of an orthotropic Cosserat continuum, modeling a block medium. In two-dimensional formulation of the orthotropic model, the computational algorithm and the program system are worked out for the analysis of propagation of elastic waves. The comparison showed good qualitative agreement between the results of computations of waves, caused by localized impulses, by the model of a block medium with compliant interlayers and the model of an orthotropic Cosserat continuum. © Springer International Publishing Switzerland 2015.
Scopus,
WOS
Держатели документа:
Institute of Computational Modeling SB RAS, Akademgorodok 50/44, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Sadovskii, V. M.; Садовский, Владимир Михайлович; Pokhabova, M. A.; Похабова М.А.; Садовская, Оксана Викторовна
Кл.слова (ненормированные):
Block medium -- Cosserat continuum -- Dynamics -- Elasticity -- Parallel computational algorithm -- Shock-capturing method -- Computation theory -- Continuum mechanics -- Dynamics -- Elastic waves -- Elasticity -- Finite difference method -- Wave propagation -- Block medium -- Computational algorithm -- Cosserat continuum -- Couple-stress continuum -- Elastic wave velocity -- Mechanical parameters -- Piecewise-homogeneous model -- Shock-capturing method -- Algorithms
Аннотация: Based on the equations of the dynamics of a piecewisehomogeneous elastic material, parallel computational algorithms are developed to simulate the process of stress and strain wave propagation in a medium consisting of a large number of blocks, interacting through compliant interlayers. For the description of waves in a block medium with thick interlayers the orthotropic couple-stress continuum theory, taking into account the symmetry of elastic properties relative to the coordinate planes, can be applied. By comparing the elastic wave velocities in the framework of piecewise-homogeneous model and continuum model, the simple method is obtained to estimate mechanical parameters of an orthotropic Cosserat continuum, modeling a block medium. In two-dimensional formulation of the orthotropic model, the computational algorithm and the program system are worked out for the analysis of propagation of elastic waves. The comparison showed good qualitative agreement between the results of computations of waves, caused by localized impulses, by the model of a block medium with compliant interlayers and the model of an orthotropic Cosserat continuum. © Springer International Publishing Switzerland 2015.
Scopus,
WOS
Держатели документа:
Institute of Computational Modeling SB RAS, Akademgorodok 50/44, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Sadovskii, V. M.; Садовский, Владимир Михайлович; Pokhabova, M. A.; Похабова М.А.; Садовская, Оксана Викторовна
519.63
А 64
А 64
Анализ резонансного возбуждения слоистых и блочных сред на основе дискретных моделей
[Текст] : статья / В. М. Садовский, Е. П. Ченцов // Вычислительные методы и программирование: новые вычислительные технологии. - 2015. - Т. 16, № 2. - С. 318-327
. - ISSN 1726-3522
Перевод заглавия: Analysis of resonant excitation of layered and block media on the basis of discrete models
Кл.слова (ненормированные):
микроструктура -- упругость -- резонанс -- дискретная цепочка -- моментный континуум -- блочная среда -- вращательное движение -- microstructure -- elasticity -- resonance -- Discrete chain -- moment continuum -- block medium -- rotational motion
Аннотация: В рамках дискретных моделей исследуются резонансные процессы в структурно неоднородных материалах со слоистой и блочной микроструктурой. Вычислены собственные частоты продольного движения частиц в линейной моноатомной цепочке, имитирующей слоистую среду, с различными типами граничных условий. Для анализа поведения цепочки в окрестности резонансных частот построены спектральные портреты матриц. Показано, что при предельном переходе от модели моноатомной цепочки с упругими связями, учитывающей сопротивление вращению частиц, к модели моментного континуума выделяется характерная резонансная частота вращательного движения, не зависящая от длины цепочки.
Resonant processes in structurally inhomogeneous materials of layered and block microstructure are studied in the framework of discrete models. Natural frequencies of longitudinal motion in a linear monato\-mic chain modeling a layered medium are determined for various boundary conditions. In order to analyze the behavior of the chain near resonant frequencies, the spectral portraits of the corresponding matrices are specified. It is shown that a special resonant frequency of rotational motion is observed when passing to the limit from a model of a monatomic chain with elastic connections to a moment continuum model. The particle rotation resistance is taken into account in this passage to the limit. This special resonant frequency does not depend on the chain length.
РИНЦ
Держатели документа:
Институт вычислительного моделирования СО РАН
Доп.точки доступа:
Ченцов, Евгений Петрович; Sadovskii V.M.
Перевод заглавия: Analysis of resonant excitation of layered and block media on the basis of discrete models
| УДК |
Кл.слова (ненормированные):
микроструктура -- упругость -- резонанс -- дискретная цепочка -- моментный континуум -- блочная среда -- вращательное движение -- microstructure -- elasticity -- resonance -- Discrete chain -- moment continuum -- block medium -- rotational motion
Аннотация: В рамках дискретных моделей исследуются резонансные процессы в структурно неоднородных материалах со слоистой и блочной микроструктурой. Вычислены собственные частоты продольного движения частиц в линейной моноатомной цепочке, имитирующей слоистую среду, с различными типами граничных условий. Для анализа поведения цепочки в окрестности резонансных частот построены спектральные портреты матриц. Показано, что при предельном переходе от модели моноатомной цепочки с упругими связями, учитывающей сопротивление вращению частиц, к модели моментного континуума выделяется характерная резонансная частота вращательного движения, не зависящая от длины цепочки.
Resonant processes in structurally inhomogeneous materials of layered and block microstructure are studied in the framework of discrete models. Natural frequencies of longitudinal motion in a linear monato\-mic chain modeling a layered medium are determined for various boundary conditions. In order to analyze the behavior of the chain near resonant frequencies, the spectral portraits of the corresponding matrices are specified. It is shown that a special resonant frequency of rotational motion is observed when passing to the limit from a model of a monatomic chain with elastic connections to a moment continuum model. The particle rotation resistance is taken into account in this passage to the limit. This special resonant frequency does not depend on the chain length.
РИНЦ
Держатели документа:
Институт вычислительного моделирования СО РАН
Доп.точки доступа:
Ченцов, Евгений Петрович; Sadovskii V.M.
539.371
Т352
Т352
Термодинамически согласованные уравнения моментной теории упругости
[Текст] : статья / В. М. Садовский // Дальневосточный математический журнал. - 2016. - Т. 16, № 2. - С. 209-222
. - ISSN 1608-845X
Перевод заглавия: Thermodynamically consistent equations of the couple stress elasticity
Кл.слова (ненормированные):
упругость -- континуум Коссера -- моментные напряжения -- тензор кривизны -- термодинамически согласованная система -- elasticity -- Cosserat continuum -- Couple stresses -- curvature tensor -- thermodynamically consistent system
Аннотация: Для описания движения микрополярной среды, в которой наряду с поступательными степенями свободы реализуются независимые вращения частиц, выбирается естественная мера кривизны, представляющая собой характеристику деформированного состояния, не зависящую от пути его достижения. Показано, что часто используемая лагранжева мера кривизны со скоростью изменения, равной тензору градиентов угловой скорости, корректна только в геометрически линейном приближении. Методом внутренних термодинамических параметров состояния строятся нелинейные определяющие уравнения моментной теории упругости. В результате линеаризации этих уравнений в изотропном случае получаются уравнения континуума Коссера, в которых сопротивление материала изменению кривизны характеризуется не тремя независимыми коэффициентами, как в классической теории, а одним. Полная система уравнений динамики моментной среды при конечных деформациях и поворотах частиц приводится к термодинамически согласованной системе законов сохранения. С помощью этой системы получены интегральные оценки решений задачи Коши и краевых задач с диссипативными граничными условиями, гарантирующие единственность и непрерывную зависимость от начальных данных.
To describe motion in a micropolar medium, with the concurrent translational degrees of freedom and independent particle rotations, it is chosen to use natural measure of curvature that is a strain state characteristic independent of deformation method. It is shown that the common Lagrangian curvature measure with the rate of change equal to a tensor of angular velocity gradients is only applicable under geometrically linear approximation. The nonlinear constitutive equations of the couple stress theory are constructed using the method of internal thermodynamic parameters of state. The linearization of these equations in isotropic case yields the Cosserat continuum equations, where material resistance to the change in curvature is characterized by a single coefficient as against the three independent coefficients of the classical theory. The complete system of equations for the dynamics of a medium with couple stresses under finite strains and particle rotations reduces to a thermodynamically consistent system of laws of conservation. This system allows to obtain the integral estimates that guarantee the uniqueness and continuous dependence on the initial data of solutions of the Cauchy problems and the boundary-value problems with dissipative boundary conditions.
РИНЦ
Держатели документа:
Институт вычислительного моделирования СО РАН
Доп.точки доступа:
Садовский, Владимир Михайлович; Sadovskii V.M.
Перевод заглавия: Thermodynamically consistent equations of the couple stress elasticity
| УДК |
Кл.слова (ненормированные):
упругость -- континуум Коссера -- моментные напряжения -- тензор кривизны -- термодинамически согласованная система -- elasticity -- Cosserat continuum -- Couple stresses -- curvature tensor -- thermodynamically consistent system
Аннотация: Для описания движения микрополярной среды, в которой наряду с поступательными степенями свободы реализуются независимые вращения частиц, выбирается естественная мера кривизны, представляющая собой характеристику деформированного состояния, не зависящую от пути его достижения. Показано, что часто используемая лагранжева мера кривизны со скоростью изменения, равной тензору градиентов угловой скорости, корректна только в геометрически линейном приближении. Методом внутренних термодинамических параметров состояния строятся нелинейные определяющие уравнения моментной теории упругости. В результате линеаризации этих уравнений в изотропном случае получаются уравнения континуума Коссера, в которых сопротивление материала изменению кривизны характеризуется не тремя независимыми коэффициентами, как в классической теории, а одним. Полная система уравнений динамики моментной среды при конечных деформациях и поворотах частиц приводится к термодинамически согласованной системе законов сохранения. С помощью этой системы получены интегральные оценки решений задачи Коши и краевых задач с диссипативными граничными условиями, гарантирующие единственность и непрерывную зависимость от начальных данных.
To describe motion in a micropolar medium, with the concurrent translational degrees of freedom and independent particle rotations, it is chosen to use natural measure of curvature that is a strain state characteristic independent of deformation method. It is shown that the common Lagrangian curvature measure with the rate of change equal to a tensor of angular velocity gradients is only applicable under geometrically linear approximation. The nonlinear constitutive equations of the couple stress theory are constructed using the method of internal thermodynamic parameters of state. The linearization of these equations in isotropic case yields the Cosserat continuum equations, where material resistance to the change in curvature is characterized by a single coefficient as against the three independent coefficients of the classical theory. The complete system of equations for the dynamics of a medium with couple stresses under finite strains and particle rotations reduces to a thermodynamically consistent system of laws of conservation. This system allows to obtain the integral estimates that guarantee the uniqueness and continuous dependence on the initial data of solutions of the Cauchy problems and the boundary-value problems with dissipative boundary conditions.
РИНЦ
Держатели документа:
Институт вычислительного моделирования СО РАН
Доп.точки доступа:
Садовский, Владимир Михайлович; Sadovskii V.M.
On thermodynamically consistent form of nonlinear equations of the cosserat theory
/ V. M. Sadovskii // Eng. Trans. - 2017. - Vol. 65, Is. 1. - P201-208
. - ISSN 0867-888X
Кл.слова (ненормированные):
Cosserat continuum -- Curvature tensor -- Thermodynamically consistent system -- Boundary value problems -- Constitutive equations -- Cosserat continuum -- Couple stress theory -- Curvature tensors -- Dissipative boundary conditions -- Independent coefficients -- Nonlinear constitutive equations -- Thermodynamic parameter -- Thermodynamically consistent system -- Nonlinear equations
Аннотация: To describe motion in a micropolar medium a special measure of curvature is used that is a strain state characteristic independent of deformation process. The nonlinear constitutive equations of the couple stress theory are constructed using the method of internal thermodynamic parameters of state. The linearization of these equations in isotropic case yields the Cosserat continuum equations, where material resistance to the change in curvature is characterized by a single coefficient as against three independent coefficients of the classical theory. So, it turns out that the developed variant of the model gives an adequate description of generalized plane stress state in an isotropic micropolar medium, while the classical one describes this state only at a certain case. The complete system of nonlinear equations for the dynamics of a medium with couple stresses reduces to a thermodynamically consistent system of laws of conservation, which allows obtaining integral estimates that guarantee the correctness of the Cauchy problem and boundary-value problems with dissipative boundary conditions. © 2017, Polish Academy of Sciences. All rights reserved.
Scopus
Держатели документа:
Institute of Computational Modeling SB RAS, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Sadovskii, V.M.; Садовский, Владимир Михайлович
Кл.слова (ненормированные):
Cosserat continuum -- Curvature tensor -- Thermodynamically consistent system -- Boundary value problems -- Constitutive equations -- Cosserat continuum -- Couple stress theory -- Curvature tensors -- Dissipative boundary conditions -- Independent coefficients -- Nonlinear constitutive equations -- Thermodynamic parameter -- Thermodynamically consistent system -- Nonlinear equations
Аннотация: To describe motion in a micropolar medium a special measure of curvature is used that is a strain state characteristic independent of deformation process. The nonlinear constitutive equations of the couple stress theory are constructed using the method of internal thermodynamic parameters of state. The linearization of these equations in isotropic case yields the Cosserat continuum equations, where material resistance to the change in curvature is characterized by a single coefficient as against three independent coefficients of the classical theory. So, it turns out that the developed variant of the model gives an adequate description of generalized plane stress state in an isotropic micropolar medium, while the classical one describes this state only at a certain case. The complete system of nonlinear equations for the dynamics of a medium with couple stresses reduces to a thermodynamically consistent system of laws of conservation, which allows obtaining integral estimates that guarantee the correctness of the Cauchy problem and boundary-value problems with dissipative boundary conditions. © 2017, Polish Academy of Sciences. All rights reserved.
Scopus
Держатели документа:
Institute of Computational Modeling SB RAS, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Sadovskii, V.M.; Садовский, Владимир Михайлович
Discrete modeling of oscillatory processes in a blocky medium
/ V. M. Sadovskii, E. P. Chentsov // (15 June 2016 through 22 June 2016 : Springer Verlag, 2017. - Vol. 10187 LNCS. - P583-590, DOI 10.1007/978-3-319-57099-0_66
. -
Кл.слова (ненормированные):
Blocky medium -- Cosserat continuum -- Discrete chain -- Elasticity -- Microstructure -- Resonance -- Rotational motion -- Chains -- Elasticity -- Microstructure -- Numerical analysis -- Resonance -- Rotation -- Rotational flow -- Blocky medium -- Cosserat continuum -- Discrete modeling -- Oscillatory process -- Resonance phenomena -- Rotational motion -- Specific frequencies -- Spectral portrait -- Natural frequencies
Аннотация: Resonance phenomena in inhomogeneous layered and blocky media are investigated on the basis of the discrete model of transverserotational oscillations in linear monoatomic chain. To analyze the behavior of the system in near-resonance region, spectral portraits are built. It allows to visualize resonant frequencies and to analyze alteration of an amplitude vector. Using mentioned model, a set of resonant frequencies are found. It is shown that there exists one specific frequency, which does not depend on the number of particles in the chain. In passing to the limit as the chain length tends to infinity, this frequency, related to rotational particles vibration, is the unique resonant frequency. The discussed property is associated with the previously studied property of the Cosserat continuum, where the resonant frequency of rotational motion exists, which does not depend on the specimen size and on the conditions of loading at its boundary. © Springer International Publishing AG 2017.
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Смотреть статью,
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Держатели документа:
Institute of Computational Modeling SB RAS, Akademgorodok 50/44, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Chentsov, E.P.; Ченцов, Евгений Петрович; Садовский, Владимир Михайлович
Кл.слова (ненормированные):
Blocky medium -- Cosserat continuum -- Discrete chain -- Elasticity -- Microstructure -- Resonance -- Rotational motion -- Chains -- Elasticity -- Microstructure -- Numerical analysis -- Resonance -- Rotation -- Rotational flow -- Blocky medium -- Cosserat continuum -- Discrete modeling -- Oscillatory process -- Resonance phenomena -- Rotational motion -- Specific frequencies -- Spectral portrait -- Natural frequencies
Аннотация: Resonance phenomena in inhomogeneous layered and blocky media are investigated on the basis of the discrete model of transverserotational oscillations in linear monoatomic chain. To analyze the behavior of the system in near-resonance region, spectral portraits are built. It allows to visualize resonant frequencies and to analyze alteration of an amplitude vector. Using mentioned model, a set of resonant frequencies are found. It is shown that there exists one specific frequency, which does not depend on the number of particles in the chain. In passing to the limit as the chain length tends to infinity, this frequency, related to rotational particles vibration, is the unique resonant frequency. The discussed property is associated with the previously studied property of the Cosserat continuum, where the resonant frequency of rotational motion exists, which does not depend on the specimen size and on the conditions of loading at its boundary. © Springer International Publishing AG 2017.
Scopus,
Смотреть статью,
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Держатели документа:
Institute of Computational Modeling SB RAS, Akademgorodok 50/44, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Chentsov, E.P.; Ченцов, Евгений Петрович; Садовский, Владимир Михайлович
Numerical modeling of micropolar thin elastic plates
/ M. Varygina // (15 June 2016 through 22 June 2016 : Springer Verlag, 2017. - Vol. 10187 LNCS. - P690-697, DOI 10.1007/978-3-319-57099-0_79
. -
Кл.слова (ненормированные):
Continuum -- Cosserat -- Dynamic problems -- Elasticity -- Finite-difference scheme -- Micropolar plates -- Elasticity -- Finite difference method -- Continuum -- Cosserat -- Dynamic problem -- Finite difference scheme -- Micropolar -- Numerical analysis
Аннотация: System of equations describing micropolar elastic thin plates is written in symmetric hyperbolic form. For the solution of dynamic problems in the framework of micropolar thin plates the numerical algorithm is proposed. The algorithm based on the two-cyclic splitting method in combination with monotone finite-difference 1D schemes is proposed. The results of computations of problems on distributed impulse action loads are shown. © Springer International Publishing AG 2017.
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Смотреть статью,
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Держатели документа:
Institute of Computational Modeling, Siberian Branch of Russian Academy of Sciences, Akademgorodok, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Варыгина, Мария Петровна
Кл.слова (ненормированные):
Continuum -- Cosserat -- Dynamic problems -- Elasticity -- Finite-difference scheme -- Micropolar plates -- Elasticity -- Finite difference method -- Continuum -- Cosserat -- Dynamic problem -- Finite difference scheme -- Micropolar -- Numerical analysis
Аннотация: System of equations describing micropolar elastic thin plates is written in symmetric hyperbolic form. For the solution of dynamic problems in the framework of micropolar thin plates the numerical algorithm is proposed. The algorithm based on the two-cyclic splitting method in combination with monotone finite-difference 1D schemes is proposed. The results of computations of problems on distributed impulse action loads are shown. © Springer International Publishing AG 2017.
Scopus,
Смотреть статью,
WOS
Держатели документа:
Institute of Computational Modeling, Siberian Branch of Russian Academy of Sciences, Akademgorodok, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Варыгина, Мария Петровна
Modeling of wave processes in a blocky medium with fluid-saturated porous interlayers
/ E. P. Chentsov, V. M. Sadovskii, O. V. Sadovskaya // AIP Conference Proceedings : American Institute of Physics Inc., 2017. - Vol. 1895: 9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017 (21 June 2017 through 26 June 2017, ) Conference code: 131031, DOI 10.1063/1.5007396
. -
Аннотация: Wave processes in a 2D blocky medium are under investigation. Considered continuum consists of rectangular elastic blocks divided by fluid-saturated porous interlayers. The interlayers are described in terms of modified Biot's porous-flow model. Porous skeleton in the model has viscoelastic properties and takes pore collapsing effect into account. In order to analyse the fluid behavior in nodes between blocks, a hydrodynamic analogue of Kirchhoff's law is used. To implement presented model nu-merically, a computational algorithm, based on a two-cyclic splitting by spatial variables, is developed. For the blocks equations Godunov's gap decay scheme is used; for the interlayers equations a hybrid numerical method, based on the dissipationless Go- dunov's and Ivanov's schemes, is applied. Parallel software is designed for analysing stresses and velocity fields in a 2D blocky medium. Comparative study of the model with elastic interlayers and the model with fluid-saturated porous interlayers is carried out. It is shown that the latter model preserves isotropic properties of a medium longer than the former model, as the interlayer thickness increases. © 2017 Author(s).
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Держатели документа:
Institute of Computational Modeling SB RAS, Akademgorodok 50/44, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Chentsov, E. P.; Sadovskii, V. M.; Sadovskaya, O. V.
Аннотация: Wave processes in a 2D blocky medium are under investigation. Considered continuum consists of rectangular elastic blocks divided by fluid-saturated porous interlayers. The interlayers are described in terms of modified Biot's porous-flow model. Porous skeleton in the model has viscoelastic properties and takes pore collapsing effect into account. In order to analyse the fluid behavior in nodes between blocks, a hydrodynamic analogue of Kirchhoff's law is used. To implement presented model nu-merically, a computational algorithm, based on a two-cyclic splitting by spatial variables, is developed. For the blocks equations Godunov's gap decay scheme is used; for the interlayers equations a hybrid numerical method, based on the dissipationless Go- dunov's and Ivanov's schemes, is applied. Parallel software is designed for analysing stresses and velocity fields in a 2D blocky medium. Comparative study of the model with elastic interlayers and the model with fluid-saturated porous interlayers is carried out. It is shown that the latter model preserves isotropic properties of a medium longer than the former model, as the interlayer thickness increases. © 2017 Author(s).
Scopus,
Смотреть статью,
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Держатели документа:
Institute of Computational Modeling SB RAS, Akademgorodok 50/44, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Chentsov, E. P.; Sadovskii, V. M.; Sadovskaya, O. V.