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.

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.\

[Text] / V. B. Bekezhanova, V. K. Andreev // Fluid Dyn. Res. - 2014. - Vol. 46, Is. 4. - Ст. 41417, DOI 10.1088/0169-5983/46/4/041417. - Cited References: 28. - This work was supported financially in part by the Russian Foundation for Basic Research (project No. 14-01-00067) and in part by the Siberian Branch of the Russian Academy of Sciences (complex integration project No. 38). The authors gratefully acknowledge the above-mentioned sponsorships. . - ISSN 0169-5983. - ISSN 1873-7005РУБ Mechanics + Physics, Fluids & Plasmas

Аннотация: A new exact solution of equations of free convection is constructed in the framework of the Oberbeck-Boussinesq approximation. The solution contains an independent parameter and describes the flow of a viscous heat-conducting liquid in the vertical cylinder with large radius. Complex rheology and radiative heating are taken into account. The considered problem reduces to the operator equation with strongly nonlinear operator. The solvability of the operator problem is proved. The iterative procedure for finding the free parameter is suggested. Three different classes of solution are obtained with the help of the procedure. The linear stability of all classes of solutions is studied numerically. Critical thermal mode is isolated. Evolution of oscillatory mode depending on Prandtl number is investigated. It is shown that under small Prandtl numbers oscillatory modes decay. If Prandtl numbers are not small a new instability type appears. This instability is connected with growing thermal disturbances. Another instability mechanism is discovered in the short waves domain. In this case the crisis is attributed to growing hydrodynamical disturbances. Secondary regimes arising in the hydrodynamical mechanism of the stability loss are calculated.

WOS

Держатели документа:
[Bekezhanova, V. B.] Inst Computat Modelling SB RAS, Krasnoyarsk, Russia
Siberian Fed Univ, Inst Math & Fundamental Informat, Krasnoyarsk 660041, Russia
ИВМ СО РАН

Доп.точки доступа:
Bekezhanova, V.B.; Бекежанова, Виктория Бахытовна; Andreev, V.K.; Андреев, Виктор Константинович; Russian Foundation for Basic Research [14-01-00067]; Siberian Branch of the Russian Academy of Sciences [38]

[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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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

[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] : научное издание / Е. П. Ченцов // Решетневские чтения. - 2016. - Т. 2, № 20. - С. 148-150 . - ISSN 1990-7702
   Перевод заглавия: MODELING WAVE PROCESSES IN COMPOSITE MATERIALS WITH LAYERED AND BLOCKY STRUCTURE

УДК

534-18

Аннотация: Волновые процессы исследуются с помощью модели, в которой упругие блоки взаимодействуют друг с другом через податливые прослойки, имеющие сложные реологические свойства. Разработанная модель может использоваться для описания деформационных процессов в композитных материалах, используемых в аэрокосмической отрасли.
In paper oscillation processes are analyzed using a model, wherein elastic blocks interact with each other via pliant interlayers with difficult rheological properties. In particular, the developed model can be used to describe deformation processes in composite materials, used in airspace industry.

РИНЦ

Держатели документа:
Институт вычислительного моделирования СО РАН

Доп.точки доступа:
Ченцов, Е.П.; Chentsov E.P.

/ V. M. Sadovskii, O. V. Sadovskaya // 9th Australasian Congress on Applied Mechanics, ACAM 2017 : National Committee on Applied Mechanics, 2017. - Vol. 2017-November: 9th Australasian Congress on Applied Mechanics, ACAM 2017 (27 November 2017 through 29 November 2017, ) Conference code: 135086 . -
Аннотация: Traditional rheological method is supplemented by a new element called rigid contact, which serves to take into account different resistance of materials to tension and compression. Based on this method, mathematical model describing deformation of a porous medium is constructed, which takes into account change in the resistance to external mechanical impact at a moment of collapse of pores. Parallel computational algorithm is developed for the analysis of dynamics of porous materials, accompanied by plastic deformation of skeleton and collapse of pores. This algorithm is tested on supercomputers in the problems about propagation of plane longitudinal compression shock waves and the expansion of cylindrical cavity in an infinite porous medium. The solutions of these problems are obtained in closed form in the framework of the suggested mathematical model. It is shown that, depending on the porosity of the medium and the value of the yield point, the instantaneous loading of a half-space with constant pressure leads to the formation of one or two shock waves – an elastic longitudinal wave, a plastic wave or waves of elastic or plastic compaction. Critical pressures of limit states and radii of interfaces between characteristic zones of plasticity and compaction are calculated numerically in the problem of radial expansion of cavity with sufficiently high precision. © 2017 National Committee on Applied Mechanics. All Rights Reserved.

Scopus

Держатели документа:
Institute of Computational Modelling SB RAS, Akademgorodok 50/44, Krasnoyarsk, 660036, Russian Federation

Доп.точки доступа:
Sadovskii, V. M.; Sadovskaya, O. V.