Труды сотрудников ИВМ СО РАН

/ 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 978-0-7354-1091-6РУБ Mathematics, Applied + Physics, Applied

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.

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Sadovskii, V.M.; Садовский, Владимир Михайлович; Sadovskaya, O.V.; Садовская, Оксана Викторовна; Simos, T.E. \ed.\; Psihoyios, G. \ed.\; Tsitouras, C. \ed.\

[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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Bogulskii, I.O.; Богульский, Игорь Олегович; Volchkov, Y.M.

[Text] / O.V. Sadovskaya, V.M. Sadovskii // Acoust. Phys. - 2010. - Vol. 56, Is. 6. - P942-950, DOI 10.1134/S1063771010060199. - Cited References: 19. - This study was supported by the Russian Foundation for Basic Research (project no. 08-01-00148), Complex Fundamental Research Program no. 2 of the Presidium of the Russian Academy of Sciences, and Siberian Division of the Russian Academy of Sciences (Interdisciplinary Integration Project no. 40). . - 9. - ISSN 1063-7710РУБ Acoustics

Аннотация: Oscillatory processes in media with microstructure under the action of concentrated impulse and time-periodic perturbations are analyzed within the Cosserat elasticity theory. According to the results of computations, such media are characterized by a resonance frequency equal to the frequency of natural oscillations of particle rotational motion. This frequency is a phenomenological parameter of a material. It was established that the oscillatory rotation of particles changes for monotone rotational motion with increasing intensity of shear strains.


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

[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 0021-8944РУБ 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

/ 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 . -
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.

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Institute of Computational Modeling SB RAS, Akademgorodok 50/44, 660036 Krasnoyarsk, Russian Federation

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

/ V. M. Sadovskii // 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. - P479-486, DOI 10.1007/978-3-642-41515-9_54 . -
Аннотация: Mathematical models of the dynamics of elastic-plastic and granular media are formulated as variational inequalities for hyperbolic operators with one-sided constraints describing the transition of a material in plastic state. On this basis a priori integral estimates are constructed in characteristic cones of operators, from which follows the uniqueness and continuous dependence on initial data of solutions of the Cauchy problem and of the boundary-value problems with dissipative boundary conditions. With the help of an integral generalization of variational inequalities the relationships of strong discontinuity in dynamic models of elastic-plastic and granular media are obtained, whose analysis allows us to calculate velocities of shock waves and to construct discontinuous solutions. Original algorithms of solution correction are developed which can be considered as a realization of the splitting method with respect to physical processes. В© 2013 Springer-Verlag.

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Доп.точки доступа:
Sadovskii, V.M.; Садовский, Владимир Михайлович

[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 1573-8620РУБ Mechanics + Physics, Applied

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]

/ P. A. Kuntashev, Yu. V. Nemirovskii // Journal of Soviet Mathematics. - 1993. - Vol. 66, Is. 1. - P2061-2067, DOI 10.1007/BF01097394 . - ISSN 0090-4104
Аннотация: We study the problem of minimizing stress levels in an isotropic elastic body by distributing elasticity parameters. We introduce a large class of differentiable functionals that we use to estimate stress levels. We obtain the necessary and sufficient conditions for global optimum and prove the uniqueness of the optimal stress field. We also study the problem of optimization of a thermoelastic body and derive a relation between the optimization results for elastic and thermoelastic bodies. В© 1993 Plenum Publishing Corporation.

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Держатели документа:
Computing Center, Siberian Branch, Academy of Sciences of Russia, Krasnoyarsk, Russian Federation
ИВМ СО РАН

Доп.точки доступа:
Kuntashev, P.A.; Nemirovskii, Yu.V.

/ O. V. Sadovskaya // AIP Conference Proceedings. - 2014. - Vol. 1629: 6th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2014 (26 June 2014 through 1 July 2014, ) Conference code: 109043. - P303-310, DOI 10.1063/1.4902286 . -
Аннотация: Parallel computational algorithm is worked out for numerical implementation of two-dimensional dynamic model of a liquid crystal, which takes into account the mutual influence of three physical effects - transfer of acoustic energy due to translational motion, viscoelastic rotation of the particles under the action of tangential stresses, anisotropic thermal expansion and compression. The algorithm is based on the Godunov gap decay method, the Ivanov scheme with controlled dissipation of energy and the splitting method with respect to spatial variables. The CUDA technology for computer systems with graphic accelerators is used. Results of computations demonstrating the efficiency of proposed method and algorithm are represented.

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Держатели документа:
Institute of Computational Modeling, SB RAS, Akademgorodok 50/44Krasnoyarsk, Russian Federation

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

/ V. M. Sadovskii, O. V. Sadovskaya // Wave Mot. - 2015. - Vol. 52. - P138-150, DOI 10.1016/j.wavemoti.2014.09.008 . - ISSN 0165-2125
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.

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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

[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.

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Доп.точки доступа:
Sadovskii, V.M.; Садовский, Владимир Михайлович; Varygina, M.P.; Варыгина, Мария Петровна; Садовская, Оксана Викторовна

[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 0094-243XРУБ Mathematics, Applied + Physics, Applied

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.

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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

[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 0094-243XРУБ 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.

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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

/ 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 . -
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.

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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

[Текст] : статья / А. Д. Матвеев // Вестник Красноярского государственного аграрного университета. - 2015. - № 8. - С. 92-98 . - ISSN 1819-4036
   Перевод заглавия: THE CALCULATION OF THE THREE-DIMENSIONAL IRREGULAR - SHAPED COMPOSITE BEAMS USING THE DOUBLE-GRID FINITE ELEMENTS
Аннотация: В данной работе изложена процедура построения двухсеточных конечных элементов (ДвКЭ) для расчета трехмерных упругих композитных балок, имеющих постоянное поперечное сечение сложной формы. Предлагаемые ДвКЭ описывают трехмерное напряженное состояние в композитных балках, учитывают их неоднородную структуру и сложную форму, порождают дискретные модели малой размерности. Реализация метода конечных элементов для двухсеточных дискретных моделей трехмерных композитных балок требует меньше объема памяти ЭВМ и временных затрат, чем для базовых моделей.
The procedure of constructing the two-grid finite elements (TgFE) in order to calculate the threedimensional elastic composite beams having the constant cross section of the complex shape is presented in the article. The proposed TgFE describe the three-dimensional tense state in the composite beams, take into account their heterogeneous structure and complex form, generate discrete models of low dimension. Implementation of the finite element method for two-grid discrete models of the three-dimensional composite beams requires less computer memory and time costs than for the base models.

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Полный текст

Держатели документа:
Институт вычислительного моделирования СО РАН

Доп.точки доступа:
Matveev A.D.

[Текст] : статья / А. Д. Матвеев, А. Н. Гришанов // Вестник Красноярского государственного аграрного университета. - 2015. - № 2. - С. 75-85 . - ISSN 1819-4036
   Перевод заглавия: MULTIGRID LAGRANGIAN CURVILINEAR ELEMENTS IN THE THREE-DEMENSIONAL ANALYSIS OF THE COMPOSITE CYLINDRICAL PANALS AND SHELLS
Аннотация: Предложены процедуры построения в локальных декартовых системах координат криволинейных лагранжевых двухсеточных конечных элементов (ДвКЭ) и сложных многосеточных конечных элементов (МнКЭ) для расчета трехмерных упругих композитных цилиндрических панелей и оболочек с различными коэффициентами наполнения. Расчеты панелей волокнистой структуры показывают, что максимальные эквивалентные напряжения и перемещения базовых и двухсеточных (многосеточных) дискретных моделей панелей отличаются на 1-8 %. Реализация метода конечных элементов для двух- и многосеточных дискретных моделей панелей требует в 10 ³ ?10 ⁴ раз меньше объема памяти ЭВМ и в 10 ² ?10 ³ раз меньше временных затрат, чем для базовых.
The procedures for constructing the curvilinear Lagrangian double-grid finite elements (DGFE) and complex multigrid finite elements (MGFE) in the local Cartesian systems to calculate the elastic composite cylindrical panels and shells are offered. The calculations of the fibrous structure panels demonstrate that the maximum equivalent tension and displacement of the basic and double-grid (multigrid) discrete panel models differ by 1-8 %. The implementation of the finite element method for two- and multigrid discrete models of panels requires 10 ³ ? 10 ⁴ times less of the computer's memory and 10 ² ?10 ³ times less of temporal costs than for the basic model.

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Институт вычислительного моделирования СО РАН
Новосибирский государственный технический университет

Доп.точки доступа:
Гришанов, А.Н.; Grishanov A.N.; Matveev A.D.

[Текст] : статья / А. Д. Матвеев // Вестник Красноярского государственного аграрного университета. - 2015. - № 9. - С. 100-107 . - ISSN 1819-4036
   Перевод заглавия: CALCULATION OFCOMPOSITE PLATESAND BEAMSTAKING INTO ACCOUNT THEIRSTRUCTURE USINGCOMPLEXMULTIGRID FINITE ELEMENTS

УДК

539.3

Аннотация: Как известно, базовые дискретные модели композитных пластин и балок, учитывающие их неоднородную (микронеоднородную) структуру, имеют очень высокую размерность. В данной работе показаны процедуры построения сложных многосеточных конечных элементов (МнКЭ) n-го типа формы прямоугольного параллелепипеда для расчета упругих композитных пластин и балок. При построении сложного МнКЭп-го типа используются сложные МнКЭ (n -1 )-го типа, n ? 2, а сложные МнКЭ 1-го типа проектируются с применением двухсеточных конечных элементов (ДвКЭ). При построении ДвКЭ используются две вложенные узловые сетки, мелкая и крупная. Мелкая сетка порождена базовым разбиением ДвКЭ, которое учитывает его неоднородную (микронеоднородную) структуру. Крупная сетка используется для понижения размерности базового разбиения ДвКЭ. Предлагаемые сложные МнКЭ в композитных пластинах и балках описывают трехмерное напряженное состояние, учитывают неоднородную (микронеоднородную) структуру и образуют многосеточные дискретные модели малой размерности, причем сложные МнКЭ n-го типа порождают дискретные модели пластин, балок меньшей размерности, чем сложные МнКЭ (п - 1)-го типа. Напряжения определяются в любом компоненте композитных пластин и балок.
The basic discrete models of composite beams and plates, taking into account their heterogeneity(micro-heterogeneous) structure are known to have a very high dimensionality. Constructing complex multigrid finite elements(MgFE) of cuboid n - type to calculate the elastic composite plates and beams is given. When constructing complex MgFE of n - type, complex MgFE of (n -1 )-type are used, and complex MgFE of type 1are design ed with double-grid finite elements(DgFE). When building Dg FE, two nested grid nodes, both fine and large, are used. Fine grid is generated by base partition of DgFE taking into account its heterogeneity (microheterogeneous) structure. Large grid is used to reduce the dimension base partition of DgFE. The proposed complex MgFE in composite plates and beams describe a three-dimensional stress state, take into account the heterogeneous (micro-heterogeneous) multigrid structure and form the discrete models of small dimension. Moreover, the complex MgFE of n - type generate the discrete models of plates, beams of smaller dimension than do the complex MgFE of (n -1 )-type. Stresses are determined in any component of composite plates and beams.

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Держатели документа:
Институт вычислительного моделирования СО РАН

Доп.точки доступа:
Matveev A.D.

[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

УДК

519.63

539.37

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.

[Текст] : статья / В. М. Садовский, О. В. Садовская // Решетневские чтения. - 2015. - Т. 2, № 19. - С. 158-160 . - ISSN 1990-7702
   Перевод заглавия: Numerical modeling porous metals deformation

УДК

539.37

Аннотация: На основе обобщенного реологического метода построена математическая модель упруго-пластического деформирования пористых металлов, которые могут применяться в аэрокосмической промышленности в качестве легковесных наполнителей. Разработан алгоритм численной реализации модели на многопроцессорных вычислительных системах.
Based on the generalized rheological method, we construct the mathematical model of elastic-plastic deformation of porous metals, which can be used as lightweight fillers in the aerospace industry. We develop the algorithm for numerical implementation of this model on clusters.

РИНЦ,
Полный текст

Держатели документа:
Институт вычислительного моделирования СО РАН

Доп.точки доступа:
Sadovskaya O.V.

[Текст] : статья / А. Д. Матвеев, А. Н. Гришанов // Решетневские чтения. - 2015. - Т. 2, № 19. - С. 149-152 . - ISSN 1990-7702
   Перевод заглавия: Calculating composite cylindrical shells using multigrid elements

УДК

539.3

Аннотация: Предложен расчет упругих композитных цилиндрических оболочек (которые широко используются в ракетно-космической технике) с применением криволинейных многосеточных элементов. Предлагаемые элементы учитывают неоднородную структуру оболочек и порождают дискретные модели малой размерности.
Calculatingtheelasticcomposite cylindrical shellswith curvilinearmultigridelements is proposed. The proposed elements take into account the heterogeneous shell structure and generate a discrete model of small dimension.

РИНЦ,
Полный текст

Держатели документа:
Институт вычислительного моделирования СО РАН
Новосибирский государственный технический университет

Доп.точки доступа:
Гришанов, А.Н.; Grishanov A.N.; Matveev A.D.