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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 2, Pages 313–322 (Mi zvmmf42)  
This article is cited in 10 scientific papers (total in 10 papers)

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

O. V. Sadovskaya

Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences, Akademgorodok, Krasnoyarsk, 660036, Russia
Full-text PDF (2076 kB) Citations (10)
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Abstract: 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.
Key words: Cosserat continuum, dynamics, elastic wave, parallel computational algorithm, Lamb's problem, symmetry condition.
Received: 28.03.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 2, Pages 304–313
DOI: https://doi.org/10.1134/S0965542509020109
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: O. V. Sadovskaya, “Numerical analysis of 3D dynamic problems of the Cosserat elasticity theory subject to boundary symmetry conditions”, Zh. Vychisl. Mat. Mat. Fiz., 49:2 (2009), 313–322; Comput. Math. Math. Phys., 49:2 (2009), 304–313
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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