Numerical Solution of Dynamic Problems in Couple-Stressed Continuum on Multiprocessor Computer Syste
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@Article{IJNAMB-2-215,
author = {Vladimir Sadovskii, Oxana Sadovskaya and Mariya Va},
title = {Numerical Solution of Dynamic Problems in Couple-Stressed Continuum on Multiprocessor Computer Syste},
journal = {International Journal of Numerical Analysis Modeling Series B},
year = {2011},
volume = {2},
number = {2},
pages = {215--230},
abstract = {Computational algorithm for the solution of 2D and 3D dynamic problems of the Cosserat elasticity theory using multiprocessor computer systems is worked out. The algorithm is
based on the two-cyclic splitting method with respect to the spatial variables in combination with
the explicit monotone finite-difference ENO-scheme for solving 1D problems adapted for the calculation
of discontinuities. Boundary conditions of symmetry, permitting to reduce computations
many times, are formulated. Computations of 3D Lamb's problem on the action of concentrated
load on the surface of a homogeneous elastic half-space and the problem on the action of concentrated
impulsive periodic load are performed. The shock waves of four types (longitudinal,
transverse, torsional and rotational waves), characteristic of a couple-stressed elastic medium, are
recognized numerically. The oscillations of rotational motion of particles on the wave fronts are
also found.},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnamb/309.html}
}
TY - JOUR
T1 - Numerical Solution of Dynamic Problems in Couple-Stressed Continuum on Multiprocessor Computer Syste
AU - Vladimir Sadovskii, Oxana Sadovskaya & Mariya Va
JO - International Journal of Numerical Analysis Modeling Series B
VL - 2
SP - 215
EP - 230
PY - 2011
DA - 2011/02
SN - 2
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnamb/309.html
KW -
AB - Computational algorithm for the solution of 2D and 3D dynamic problems of the Cosserat elasticity theory using multiprocessor computer systems is worked out. The algorithm is
based on the two-cyclic splitting method with respect to the spatial variables in combination with
the explicit monotone finite-difference ENO-scheme for solving 1D problems adapted for the calculation
of discontinuities. Boundary conditions of symmetry, permitting to reduce computations
many times, are formulated. Computations of 3D Lamb's problem on the action of concentrated
load on the surface of a homogeneous elastic half-space and the problem on the action of concentrated
impulsive periodic load are performed. The shock waves of four types (longitudinal,
transverse, torsional and rotational waves), characteristic of a couple-stressed elastic medium, are
recognized numerically. The oscillations of rotational motion of particles on the wave fronts are
also found.
Vladimir Sadovskii, Oxana Sadovskaya and Mariya Va. (2011). Numerical Solution of Dynamic Problems in Couple-Stressed Continuum on Multiprocessor Computer Syste.
International Journal of Numerical Analysis Modeling Series B. 2 (2).
215-230.
doi:
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