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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Veröffentlicht in:Computational mathematics and mathematical physics Jg. 49; H. 2; S. 304 - 313
1. Verfasser: Sadovskaya, O. V.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Dordrecht SP MAIK Nauka/Interperiodica 01.02.2009
Springer Nature B.V
Schlagworte:
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
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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.
AbstractList 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. [PUBLICATION 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.
Author Sadovskaya, O. V.
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  organization: Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences
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CitedBy_id crossref_primary_10_1016_j_compositesb_2015_07_007
crossref_primary_10_1016_j_compstruct_2017_01_053
crossref_primary_10_1016_j_wavemoti_2014_09_008
crossref_primary_10_1134_S1995080221010121
crossref_primary_10_1016_j_ijsolstr_2015_03_008
Cites_doi 10.1007/978-3-642-46378-5
ContentType Journal Article
Copyright Pleiades Publishing, Ltd. 2009
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Keywords elastic wave
dynamics
symmetry condition
Cosserat continuum
parallel computational algorithm
Lamb’s problem
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O. V. Sadovskaya (2010_CR3) 2008
A. G. Kulikovskii (2010_CR10) 2001
2010_CR12
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O. V. Sadovskaya (2010_CR11) 2005; 6
V. I. Erofeev (2010_CR4) 1999
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S. K. Godunov (2010_CR6) 1979
V. T. Koiter (2010_CR2) 1964; 67
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StartPage 304
SubjectTerms Algorithms
Computational mathematics
Computational Mathematics and Numerical Analysis
Elasticity
Mathematics
Mathematics and Statistics
Multiprocessing
Numerical analysis
Studies
Symmetry
Velocity
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