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Найдено документов в текущей БД: 57
   В3
   K21

    Duality in nonextensive statistical mechanics
[Text] : статья / I.V. Karlin, M. Grmela, A.N. Gorban // Physical Review E. - 2002. - Vol. 65. - Ст. 036128. - p. 1-4DOI 10.1103/PhysRevE.65.036128
   Перевод заглавия: Двойственность в неэкстенсивной статистической механике

Аннотация: We revisit recent derivations of kinetic equations based on Tsallis' entropy concept. The method of kinetic functions is introduced as a standard tool for extensions of classical kinetic equations in the framework of Tsallis' statistical mechanics. Our analysis of the Boltzmann equation demonstrates a remarkable relation between thermodynamics and kinetics caused by the deformation of macroscopic observables.

http://icm.krasn.ru/refextra.php?id=2095,
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ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Grmela, M.; Gorban, A.N.; Горбань, Александр Николаевич; Карлин, Илья Вениаминович
   В36
   G65

    The additive generalization of the Boltzmann entropy
[Electronic resource]. - Электрон. дан. (91 Kb) : статья / A.N. Gorban, I.V. Karlin, H.C. Ottinger. - Электрон. дан. (91 Kb) // Xiv:cond-mat/0209319. - 2002
   Перевод заглавия: Аддитивные обобщения энтропии Больцмана
ГРНТИ

Аннотация: There exists only one generalization of the classical Boltzmann-Gibbs-Shannon entropy functional to a one-parametric family of additive entropy functionals. We find analytical solution to the corresponding extension of the classical ensembles, and discuss in some detail the example of the deformation of the uncorrelated state.

http://icm.krasn.ru/refextra.php?id=2090,
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ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Karlin, I.V.; Карлин, Илья Вениаминович; Ottinger, Hans Christian; Горбань, Александр Николаевич
   В25
   S12

    Mathematical Modeling in Mechanics of Granular Materials
[Текст] : монография / O. Sadovskaya, V. Sadovskii. - Berlin ; Heidelberg : Springer-Verlag, 2012. - 390 p. : il. - (Advanced Structured Materials, ISSN 1869-8433 ; vol. 21), ISSN 1869-8441 (electronic)). - Bibliogr. at the end of the chapters. - ISBN 978-3-642-29052-7. - ISBN 978-3-642-29053-4 (eBook) : Б. ц.
ББК В25

Аннотация: This monograph contains original results in the field of mathematical and numerical modeling of machanical behavior of granular materials and materials with different strengths. It proposes new models helping to define zones of the strain localization. The book shows how to analyze processes of the propogation of elastic and elastic-plastic waves in loosened materials, and constructs models of mixed type, describing the flow of granular materials in the presence of quasi-static deformation zones. In a last part? the book studies a numerical realization of the models on multiprocessor computer systems. The book is intended for scientific researchers, lecturers of universities, postgraduates and senior students, who specialize in the field of the deformable materials mechanics, mathematical modeling and adjacent field of applied and calculus mathematics

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Доп.точки доступа:
Sadovskii, V.M.; Садовский, Владимир Михайлович; Садовская, Оксана Викторовна
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    Free Finite Rotations in Deformation of Thin Bodies
[Text] : статья / L. I. Shkutin // Shell-like Structures. - 2011. - p. 261-278. - (Advanced Structured Materials ; Ser. vol. 15), DOI 10.1007/978-3-642-21855-2_19 . -


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Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Шкутин, Леонид Иванович

    Numerical solving dynamic problems of elastoplastic deformation of solids
[Text] / I. O. Bogulskii, Y. M. Volchkov // Numerical Analysis and Applications. - 2012. - Vol. 5, Is. 2. - pp. 124-128, DOI 10.1134/S1995423912020048 . - ISSN 1995-4239
Аннотация: Numerical schemes for solving two-dimensional dynamic problems of elasticity theory based upon several local approximations for each of the required functions are discussed. The schemes contain free parameters (dissipation constants). An explicit form of artificial dissipation of the solutions allows us to control its size and to effectively construct both explicit and implicit schemes. The principle of producing such schemes is applied to a plane dynamic problem of elasticity theory as an example. We describe a class of problems for which numerical algorithms using several local approximations for each of the required functions are constructed. Examples of solving practical problems are given. В© 2012 Pleiades Publishing, Ltd.

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Доп.точки доступа:
Bogulskii, I.O.; Богульский, Игорь Олегович; Volchkov, Y.M.

    Numerical simulation of deformation of a metal foam
/ O. V. Sadovskaya // Proceedings of XLI International Summer School–Conference APM 2013. - 2013. - P484-491

Аннотация: Mathematical model for the description of deformation of a porous metal is constructed on the basis of generalized rheological method. In this method a new rheological element, so-called rigid contact, is used to describe the uniaxial deformation of materials with different resistance to tension and compression. Change in the resistance of a porous metal to external loads, when the collapse of pores occurs, is taken into account by means of the von Mises–Schleicher strength condition. Irreversible deformation is described with the help of yield condition, modeling the plastic loss of stability of 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

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Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Садовская, Оксана Викторовна

    On the acoustic approximation of thermomechanical description of a liquid crystal
/ V. M. Sadovskii, O. V. Sadovskaya // Physical Mesomechanics. - 2013. - Vol. 16, № 4. - P312-318, DOI 10.1134/S102995991304005X . - ISSN 1029-9599

Кл.слова (ненормированные):
Klein-Gordon equation -- micropolar medium -- rotational waves -- thermoelasticity

Аннотация: Based on dynamic equations of a heterogeneous elastic medium which take into account rotational degrees of freedom of microstructure particles, a simplified mathematical model was constructed to describe the wave motions of a nematic liquid crystal under weak mechanical and temperature perturbations. It is shown that in the medium under plane deformation, the tangential stress obeys the Klein-Gordon equation of oscillatory particle rotation. Consideration is given to the possibility of initiating rotational waves in a nematic liquid crystal, which change its optical properties, due to heat sources acting at its boundary. © 2013 Pleiades Publishing, Ltd.

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Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Sadovskaya, O.V.; Садовская, Оксана Викторовна; Sadovsky V.M.

    Roche lobe effects on expanded upper atmospheres of short-periodic giant exoplanets
[Text] / G. F. Jaritz [et al.] // Astron. Astrophys. - 2005. - Vol. 439, Is. 2. - P771-775, DOI 10.1051/0004-6361:20052946. - Cited References: 32 . - ISSN 0004-6361
РУБ Astronomy & Astrophysics

Аннотация: Theoretical studies and recent observational evidence of the expansion of the atmospheres of short-periodic exoplanets show that the atmospheres extend up to several planetary radii. This indicates that the atmospheres experience blow-off conditions. Because of the short orbital distance to their host stars, the expansion of the upper atmosphere is no longer radially symmetric, but depends on the direction to the central body, resulting in a deformation of the expanded atmosphere. We show the connection between atmospheric expansion, tidal forces and effects of the Roche potential and find that HD209458 b, OGLE-TR-10 b and OGLE-TR-111 b are most likely in a state of classical hydrodynamical blow-off because the distance where blow-off can occur is less than the distance to the Lagrangian point L1. On the other hand, OGLE-TR-56 b, OGLE-TR-113 b, OGLE-TR-132 b and TreS-1 experience a geometrical blow-off defined by the Roche lobe as proposed by Lecavelier des Etangs et al. (2004, A&A, 418, L1). Our results have important implications for the evolution of short periodic gas giants, because the Roche lobe overflow of the atmosphere can lead to lower mass loss rates over the exoplanets history, compared to gas giants which experience hydrodynamic expansion and loss unaffected by this boundary. Thus, massive exoplanets like OGLE-TR-56 b in very close orbital distances are subject to geometrical blow-off conditions, this results in a total mass loss for this particular exoplanet of the order of about 3 x 10(-2) M-pl over the planets age, even if current mass loss rates of about 2 x 10(11) g s(-1) are calculated. If the exoplanet effected by the geometrical blow-off is more massive, the mass loss rate is even lower. However, giant exoplanets like HD209458 b, OGLE-TR-10 b and OGLE-TR-111 b at orbital distances of about 0.05 AU may experience classical hydrodynamic blow-off conditions, which can result in higher mass loss rates. Thus, such planets may shrink to their core sizes during the X-ray and EUV active periods of their host stars as proposed by Lammer et al. ( 2003, ApJ, L121, 598) and Bara. e et al. (2004, A& A, 419, L13).


Доп.точки доступа:
Jaritz, G.F.; Endler, S.; Langmayr, D.; Lammer, H.; Griessmeier, J.M.; Erkaev, N.V.; Еркаев, Николай Васильевич; Biernat, H.K.

    Axisymmetric deformation of plates and shells with phase trasformations under thermal cycling
[Text] / L. I. Shkutin // J. Appl. Mech. Tech. Phys. - 2008. - Vol. 49, Is. 2. - P330-335, DOI 10.1007/s10808-008-0045-z. - Cited References: 8 . - ISSN 0021-8944
РУБ Mechanics + Physics, Applied

Кл.слова (ненормированные):
shape-memory alloys -- phase transformations -- phase strains -- thermocycle -- interphase hysteresis -- plates -- shells -- buckling -- numerical analysis

Аннотация: A mathematical formulation is given of nonlinear axisymmetric buckling problems for plates and shells in the two-phase zones of austenite-to-martensite transformation. Numerical solutions of the direct- and inverse-transformation problems are used to construct hysteresis loops for thermomechanically cycled, pressure-loaded circular plates and shallow spherical domes of titanium nickelide (NiTi) alloy. It is shown that dynamic instability of the dome deformation process can occur during transformation under loads notably lower than the upper critical values for the isothermal states of the material outside the transformation zone. A theoretical analysis gives external loads below which the dome remains stable in the thermally cycled material with phase transformations.


Доп.точки доступа:
Шкутин, Леонид Иванович

    Shear driven two-phase flows in vertical cylindrical duct
[Text] : статья / Y. Gaponenko, A. Mialdun, V. Shevtsova // International Journal of Multiphase Flow. - 2012. - Vol. 39. - p. 205-215, DOI 10.1007/s12217-008-9075-7 . - ISSN 0938-0108

Кл.слова (ненормированные):
Gas–liquid flow -- Entrainment -- Interface deformation -- Liquid bridge -- Free surface deformation -- Viscosity contrast

Аннотация: Experiments and numerical simulations were carried out for shear-driven two-phase flows in a confined volume of liquid under conditions of normal gravity. The geometry corresponds to a cylindrical liquid bridge surrounded by a concentric annular gas channel with external solid walls. The internal part consists of solid supports at the bottom and top, while the central part is a liquid zone filled with a viscous liquid and kept in its position by surface tension. Gas enters into the annular duct, flows between solid walls and upon reaching the liquid zone entrains initially quiescent liquid. The flow dynamics is governed by the Navier–Stokes equations in both fluids, which are numerically solved in the exact experimental geometry taking into account interface deformation by gravity. In the experiments 5 cSt silicone oil and air were used as test fluids and the flow was monitored by means of particle tracking velocimetry. The experiments were performed for unit aspect ratio (the ratio of liquid zone length to its radius), while the simulations of shear-driven flow were carried out for a wide range of parameters. A particular attention is focused on the effect of free surface shape and fluids viscosity contrast on the interfacial flow dynamics. The current study suggests a linear dependence between velocities of gas and liquid when the viscosity of the liquid is larger by two orders of magnitude than that of gas. Another relation is proposed when the fluids viscosity ratio, μl/μg, is less than 50.

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Доп.точки доступа:
Mialdun, A.; Shevtsova, V.; Гапоненко, Юрий Анатольевич

    Study of a liquid bridge subjected to interface shear stresses
[Text] : статья / Y. Gaponenko, S. Glockner, A. Mialdun, V. Shevtsova // Acta Astronautica. - 2011. - Vol. 69, Iss. 3-4. - p. 119-126DOI 10.1016/j.actaastro.2011.03.012 . -

Кл.слова (ненормированные):
Two-phase flow -- Liquid bridge -- Entrainment -- Interface deformation

Аннотация: We report on numerical and experimental study of two-phase flows in a tall annulus. The geometry corresponds to a cylindrical liquid column co-axially placed into an outer cylinder with solid walls. The internal column consists of solid supports at the bottom and top, while the central part is a liquid zone filled with viscous liquid and kept in its position by surface tension. Gas enters into the annular duct and entrains initially quiescent liquid. The liquid bridge interface is deformed by gravity and by a co-axial gas flow which is co- and counter directed with respect to gravity. A new experimental set-up including an optical system for precise measurements of the interface displacement has been designed and developed. In the experiments silicone oil 5cSt was used as a test liquid and air as gas. On numerical side the dynamical response of an isothermal liquid bridge to a coaxial gas flow is examined by simulations of the Navier–Stokes equations. The attention is focused on the following points: time-dependent formation of the equilibrium shape of a liquid bridge in gravity conditions and its deformation by a gas flow, simulation of a flow pattern in a liquid/gas system with deformed free surface. The comparison of the numerical and experimental results for the interface deformation exhibits a satisfactory agreement.

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Доп.точки доступа:
Glockner, S.; Mialdun, A.; Shevtsova, V.; Гапоненко, Юрий Анатольевич

    Radial expansion of a cylindrical or spherical cavity in an infinite porous medium
[Text] / V. M. Sadovskii, O. V. Sadovskaya, A. A. Luk'yanov // J. Appl. Mech. Tech. Phys. - 2014. - Vol. 55, Is. 4. - P689-700, DOI 10.1134/S0021894414040154. - Cited References: 18. - This work was supported by the Russian Foundation for Basic Research (Grant No. 14-01-00130). . - ISSN 0021-8944. - ISSN 1573-8620
РУБ Mechanics + Physics, Applied
Рубрики:
DYNAMIC PORE-COLLAPSE
Кл.слова (ненормированные):
porous media -- elasticity -- plasticity -- pore collapse unloading -- pore expansion

Аннотация: A solution describing the displacement and stress fields around expanding spherical and cylindrical cavities with allowance for pore collapse is constructed using the theory of small elastic deformations of a homogeneous isotropic porous medium in closed form. Transition of the medium into a plastic state is modeled using the Tresca-Saint Venant yield condition. Porosity change is described on the basis of a mathematical model developed taking into account the increase in the stiffness of the porous material at the moment of pore collapse. It is shown that in the elastic deformation stage, the porosity does not change; an increase in the pressure leads to the formation of a region of plastic compression, in part of which, the pores collapse. Stress and displacement fields in the porous medium during unloading are constructed. It is shown that under certain conditions, the elastic unloading stage is followed by the plastic reflow stage to form a region of pore expansion. As the pressure decreases, the boundary of this region simultaneously reaches the region of plastic reflow and the region of pore collapse.

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Держатели документа:
ИВМ СО РАН

Доп.точки доступа:
Sadovskii, V.M.; Садовский, Владимир Михайлович; Sadovskaya, O.V.; Садовская, Оксана Викторовна; Luk'yanov, A.A.; Russian Foundation for Basic Research [14-01-00130]

    SOLUTION OF TWO-DIMENSIONAL PROBLEMS OF PLASTIC-DEFORMATION OF PLATES AND MEMBRANE SHELLS
[Text] / Y. V. NEMIROVSKII, S. B. MAKSIMOV // SOVIET APPLIED MECHANICS. - 1987. - Vol. 23, Is. 3. - P260-268, DOI 10.1007/BF00886603. - Cited References: 9 . - ISSN 0038-5298
РУБ Mechanics


WOS

Держатели документа:
ACAD SCI USSR,CTR COMP,KRASNOYARSK,USSR
ИВМ СО РАН
Доп.точки доступа:
NEMIROVSKII, Y.V.; MAKSIMOV, S.B.

    A NUMERICAL-ANALYSIS OF LAMINATED ELASTIC-PLASTIC PLATES UNDER DYNAMIC LOADING
[Text] / B. D. ANNIN, V. M. SADOVSKY // Compos. Sci. Technol. - 1992. - Vol. 45, Is. 3. - P241-246, DOI 10.1016/0266-3538(92)90085-H. - Cited References: 7 . - ISSN 0266-3538
РУБ Materials Science, Composites

Кл.слова (ненормированные):
HIGH RATE DEFORMATION -- SHEET-STAMPING -- CONTACT PROBLEM -- LAMINATED PLATE -- IMPACT

Аннотация: The paper presents an algorithm of a numerical solution of two-dimensional (plane and axisymmetric) contact problems for homogeneous elastic-plastic plates, assemblages of layers and laminated plates deformed in dies of arbitrary shapes. An analysis of some mechanical effects observed in explosive sheet-stamping and hydro-sheet-stamping is also presented.

WOS

Держатели документа:
USSR ACAD SCI,CTR COMP,KRASNOYARSK,USSR
ИВМ СО РАН

Доп.точки доступа:
ANNIN, B.D.; SADOVSKY, V.M.; Садовский, Владимир Михайлович

    Double approximation model of a shell finite deformation
/ L. I. Shkutin, N. A. Feodorova // Modelling, simulation & control. B. - 1995. - Vol. 58, Is. 3-4. - P11-20 . - ISSN 0761-2516
Аннотация: The double approximation of a displacement field in relation to the transversal coordinate is applied in constructing the two-dimensional model of a shell finite deformation. One of them, linear, is used in calculating the tangential derivatives of displacement field, the other, quadratic, is for the transversal derivative. In result, the displacement field gradient is approximated by the linear function of the transversal coordinate and the Green-Lagrange strain tensor is done by the quadratic one. The two-dimensional model of a shell finite deformation, accordant with the double approximation, contains three unknown vectors as internal kinematical variables of a shell base surface. Only two of them, coefficients of the linear approximation, are factors of the kinematical boundary conditions. They are primary vectorial parameters of the model and give six scalar degrees of shell freedom. The double approximation model of a shell finite deformation can be interpreted as the six-parametrical one with complete strain tensor. The model can be recommended for numerical analysis of shells, heterogeneous through thickness and laminated specifically.

Scopus

Держатели документа:
Computing Cent of the Siberian, Branch of the Russian Acad of, Sciences, Krasnoyarsk, Russian Federation
ИВМ СО РАН

Доп.точки доступа:
Shkutin, L.I.; Шкутин, Леонид Иванович; Feodorova, N.A.

    Phenomenological modeling ofdeformation of porous and cellular materials taking into account the increase in stiffness because of the collapse of pores
[Text] / V. M. Sadovskii, O. V. Sadovskaya // ECCOMAS Thematic Conference - COMPDYN 2013: 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings - An IACM Special Interest Conference. - 2013. - P4277-4286

Кл.слова (ненормированные):
Cellular Material -- Porous Metal -- Expansion of Cavity -- Incomplete Plasticity -- Full Plasticity -- Parallel Program System

Аннотация: Mathematical model for the description of deformation of a porous material with a random distribution of pores is constructed on the basis of generalized rheological method taking into account the different resistance of a material to tension and compression. Phenomenological parameters of the model are determined by means of the approximate computations for the problem of static loading of a cubic periodicity cell with spherical cavities. Within the framework of this theory the fields of displacements and stresses around expanding cavity of spherical shape in a homogenious space are constructed. It is shown that the porosity does not change at the stage of elastic deformation. When the pressure increases, a zone of plastic compaction is formed in the vicinity of a cavity, and in a part of this zone the collapse of pores takes place. Engineering formulas for calculation of critical pressures of the elastic limit state and the limit state of a medium with open pores, and also the formulas for determining the radiuses of interfaces of zones of plasticity and compaction are obtained. A complex of parallel programs for numerical analysis of the dynamic deformation of porous materials on multiprocessor computer systems is worked out. By means of this complex a series of computations for deformation of the protection elements, made of metal foams, under the action of localizedim pulsive loads was performed. The random nature of distribution of the pores size is taken into account with the help of computer modeling. Computations allow one to estimate plastic dissipative part of the energy of impact.

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Доп.точки доступа:
Sadovskaya, O.V.; Садовская, Оксана Викторовна; Садовский, Владимир Михайлович

    Modelling of irreversible deformation near the tip of a crack in a porous domain containing oil and gas
[Text] / A. Lukyanov [et al.] // 14th European Conference on the Mathematics of Oil Recovery 2014, ECMOR 2014. - 2014. - Ст. P27

Аннотация: Thermomechanical processes observing in deformable solids under intensive dynamic or quasi-static loadings consist of coupled mechanical, thermal and fracturing stages. The fracturing processes involve formation, motion and interaction of defects in crystals, phase transitions, breaking of bonds between atoms, accumulation of micro-structural damages (pores, cracks), etc. Irreversible deformations, zones of adiabatic shear micro-fractures are caused by these processes. A dynamic fracturing is a complicated multistage process, which includes appearance, evolution and confluence of micro-defects and formation of embryonic micro-cracks, pores that can grow and lead to the breaking-up of bodies with formation of free surfaces. This results in a need to use more advanced mathematical and numerical techniques. This talk presents modeling of irreversible deformation near the tip of a crack in a porous domain containing oil and gas during the hydraulic fracturing process. The governing equations for a porous domain containing oil and gas are based on constructing mathematical model of thermo-visco-elastoplastic media with micro-defects (micro-pores) filled with another phase (e.g., oil or/and gas). The micropores can change their size during the process of dynamical irreversible deformation. The existing pores can expand or collapse. The model was created by using the fundamental thermodynamic principles and, therefore, it is a thermodynamically consistent model. All the processes (i.e., irreversible deformation, fracturing, micro-damaging, heat transfer) within a porous domain are strongly coupled. Therefore, explicit normalized-corrected meshless method is used to solve the resulting governing PDEs. The flexibility of the proposed technique allows running efficiently using a great number of micro- and macrofractures. The results are presented, discussed and future studies are outlined.

Scopus


Доп.точки доступа:
Lukyanov, A.; Chugunov, N.; Sadovskii, V.M.; Садовский, Владимир Михайлович; Sadovskaya, O.V.; Садовская, Оксана Викторовна

    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
Рубрики:
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

    Numerical Study of Mountain System Evolution along the Tarim-Altay Profile
[Text] / V. D. Suvorov [et al.] ; ed.: V. E. Panin, S. G. Psakhie, V. M. Fomin // INTERNATIONAL CONFERENCE ON ADVANCED MATERIALS WITH HIERARCHICAL : AMER INST PHYSICS, 2015. - Vol. 1683: International Conference on Advanced Materials with Hierarchical (SEP 21-25, 2015, Tomsk, RUSSIA). - Ст. UNSP 020224. - (AIP Conference Proceedings), DOI 10.1063/1.4932914. - Cited References:11 . -
РУБ Materials Science, Multidisciplinary + Physics, Applied

Аннотация: The paper reports the numerical modeling results on the Earth's crust deformation along the Tarim-Altay profile under gravity and lateral compression. Modeling was performed to study how the strength properties and block structure of the crust section influence the formation of plastic deformation zones, day surface relief and the Moho deflection. Conditions were estimated in which mountains grow under certain geological and geophysical characteristics, including mountain root formation. The deformation process was considered in a 2D elastic-plastic formulation for the vertical section of the crust and upper mantle down to a depth of 90 km.

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Держатели документа:
Trofimuk Inst Petr Geol & Geophys SB RAS, Novosibirsk 630090, Russia.
Inst Strength Phys & Mat Sci SB RAS, Tomsk 634055, Russia.
Inst Computat Modeling SB RAS, Krasnoyarsk 660036, Russia.
Novosibirsk State Univ, Novosibirsk 630090, Russia.

Доп.точки доступа:
Suvorov, V. D.; Stefanov, Yu. P.; Pavlov, E. V.; Kochnev, V.A.; Кочнев, Владимир Алексеевич; Melnik, E. A.; Tataurova, A. A.

    Numerical Implementation of Mathematical Model of the Dynamics of a Porous Medium on Supercomputers of Cluster Architecture
[Text] / O. V. Sadovskaya, V. M. Sadovskii ; ed. M. D. Todorov // APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES : AMER INST PHYSICS, 2015. - Vol. 1684: 7th International Conference on Application of Mathematics in Technical (JUN 28-JUL 03, 2015, Albena, BULGARIA). - Ст. UNSP 070005. - (AIP Conference Proceedings), DOI 10.1063/1.4934306. - Cited References:8 . -
РУБ Mathematics, Applied + Physics, Applied

Аннотация: The parallel computational algorithm for analysis of the processes of elastic-plastic deformation of a porous medium under the action of external dynamic loads is developed. This algorithm is based on the mathematical model taking into account threshold nature of change in the strength of a material under the collapse of pores. The algorithm is implemented in Fortran by means of functions of the MPI library. The parallel program system has been tested on clusters in computations of the propagation of plane longitudinal shock waves of the compression and in computations of the expansion of a cylindrical cavity in an infinite porous medium. The comparison of numerical results and exact solutions has shown their good qualitative and quantitative correspondence. Using the obtained algorithm, the process of propagation of elastic-plastic waves of the compression in a homogenous porous medium, accompanied by the deformation of a skeleton and the collapse of pores, is analyzed.

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Держатели документа:
SB RAS, Inst Computat Modeling, Akademgorodok 50-44, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Sadovskaya, O. V.; Sadovskii, V. M.; Todorov, M.D. \ed.\