Numerical analysis of 3D dynamic problems of the Cosserat elasticity theory subject to boundary symmetry conditions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 2, pp. 313-322
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In the framework of the Cosserat continuum model, one-dimensional solutions describing plane longitudinal waves, transverse (shear) waves with particle rotation, and torsional waves are analyzed. Boundary symmetry conditions for various types of loading are found. A parallel computational algorithm is worked out for solving 3D dynamic problems of the Cosserat elasticity theory on multiprocessor computer systems. Computations of the propagation of the stress and strain waves induced by a point impulse force in an elastic medium are performed.
@article{ZVMMF_2009_49_2_a9,
author = {O. V. Sadovskaya},
title = {Numerical analysis of {3D~dynamic} problems of the {Cosserat} elasticity theory subject to boundary symmetry conditions},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {313--322},
publisher = {mathdoc},
volume = {49},
number = {2},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_2_a9/}
}
TY - JOUR AU - O. V. Sadovskaya TI - Numerical analysis of 3D dynamic problems of the Cosserat elasticity theory subject to boundary symmetry conditions JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2009 SP - 313 EP - 322 VL - 49 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_2_a9/ LA - ru ID - ZVMMF_2009_49_2_a9 ER -
%0 Journal Article %A O. V. Sadovskaya %T Numerical analysis of 3D dynamic problems of the Cosserat elasticity theory subject to boundary symmetry conditions %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2009 %P 313-322 %V 49 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_2_a9/ %G ru %F ZVMMF_2009_49_2_a9
O. V. Sadovskaya. Numerical analysis of 3D dynamic problems of the Cosserat elasticity theory subject to boundary symmetry conditions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 2, pp. 313-322. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_2_a9/