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Zh. Vychisl. Mat. Mat. Fiz., 2009, Volume 49, Number 2, Pages 313–322 (Mi zvmmf42)  

This article is cited in 7 scientific papers (total in 7 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

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.

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English version:
Computational Mathematics and Mathematical Physics, 2009, 49:2, 304–313

Bibliographic databases:

UDC: 519.634
Received: 28.03.2008

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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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Sadovskii V.M., Sadovskaya O.V., Varygina M.P., “Chislennoe modelirovanie prostranstvennykh volnovykh dvizhenii v momentnykh sredakh”, Vychislitelnaya mekhanika sploshnykh sred, 2:4 (2009), 111–121  elib
    2. Sadovskaya O.V., Sadovskii V.M., “Analysis of rotational motion of material microstructure particles by equations of the Cosserat elasticity theory”, Acoustical Physics, 56:6 (2010), 942–950  crossref  adsnasa  isi  elib
    3. Varygina M.P., Sadovskaya O.V., Sadovskii V.M., “Resonant properties of moment Cosserat continuum”, Journal of Applied Mechanics and Technical Physics, 51:3 (2010), 405–413  crossref  zmath  adsnasa  isi  elib  scopus
    4. Sadovskii V.M., Sadovskaya O.V., “Modeling of Elastic Waves in a Blocky Medium Based on Equations of the Cosserat Continuum”, Wave Motion, 52 (2015), 138–150  crossref  mathscinet  isi  elib  scopus
    5. Rossikhin Yu.A., Shitikova M.V., “Transient Wave Velocities in Pre-Stressed Thin-Walled Beams of Open Profile With Cosserat-Type Micro-Structure”, Compos. Pt. B-Eng., 83 (2015), 323–332  crossref  isi  scopus
    6. Wu Ts.-H., Chen T., Weng Ch.-N., “Green'S Functions and Eshelby Tensors For An Ellipsoidal Inclusion in a Non-Centrosymmetric and Anisotropic Micropolar Medium”, Int. J. Solids Struct., 64-65 (2015), 1–8  crossref  isi  elib  scopus
    7. Rossikhin Yu.A., Shitikova M.V., “A New Approach For Studying the Transient Response of Thin-Walled Beams of Open Profile With Cosserat-Type Micro-Structure”, Compos. Struct., 169:SI (2017), 153–166  crossref  isi  scopus
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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