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Title of Article

DERIVATION OF EQUATIONS OF NONLINEAR COSSERAT MEDIUM DYNAMICS


Issue
6
Date
2009

Section
MATHEMATICAL MODELING. ОPTIMAL CONTROL

Article type
scientific article
UDC
534.1
Pages
159-162
Keywords
Cosserat model, asymmetric elasticity theory, heat conduction equation, material point, plane waves, longitudinal thermoelastic waves, longitudinal rotation waves, shear and rotational waves, deformation tensor, tensor of bending-torsion, strain tensor, inertia tensor, displacement vector, rotation vector


Authors
Vinogradova Yu.V.
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo

Erofeev V.I.
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo, Nizhegorodskiy filial Instituta mashinovedeniya im. A.A. Blagonravova RAN


Abstract
The derivation of nonlinear Cosserat medium dynamics equations is presented. In the framework of the suggested model, the authors give the statements of the problems on the propagation of plane thermoelastic longitudinal and longitudinal rotation waves, plane shear and rotational waves.

File (in Russian)