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Defining relations for a viscoelastic medium with microrotation

โœ Scribed by O.Yu. Dinariyev; V.N. Nikolayevskii

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
562 KB
Volume
61
Category
Article
ISSN
0021-8928

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โœฆ Synopsis

The results of [1,2] are extended to the case of a Cosserat medium with a memory (the force stress tensor and the couple stress tensor depend on the histxy of deformations and rotations of a particle in the medium). In the linear approximation the defining relations have the form of convolutions with some relaxation kernels with respect to time. Restrictions for the kernels are obtained, which follow from the general principles of thermodynamics The propagation of weak perturbations is studied. The general functional form of the kernels corresponding to experimental data on the viscoelasticity of rock formations is given.

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