Numerical analysis of 3D dynamic problems of the Cosserat elasticity theory subject to boundary symmetry conditions

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...

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Bibliographic Details
Published in:Computational mathematics and mathematical physics Vol. 49; no. 2; pp. 304 - 313
Main Author: Sadovskaya, O. V.
Format: Journal Article
Language:English
Published: Dordrecht SP MAIK Nauka/Interperiodica 01.02.2009
Springer Nature B.V
Subjects:
Algorithms
Computational mathematics
Computational Mathematics and Numerical Analysis
Elasticity
Mathematics
Mathematics and Statistics
Multiprocessing
Numerical analysis
Studies
Symmetry
Velocity
elastic wave
dynamics
symmetry condition
Cosserat continuum
parallel computational algorithm
Lamb’s problem
ISSN:0965-5425, 1555-6662
Online Access:Get full text
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Summary: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.
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ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542509020109