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    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.

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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