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Homogenization of a viscoelastic matrix in linear frictional contact

✍ Scribed by Robert P. Gilbert; Alexander Panchenko; Xuming Xie

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
164 KB
Volume
28
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

The paper is devoted to study of acoustic wave propagation in a partially consolidated composite material containing loose particles. Friction of particles against the consolidated part of the material causes mechanical energy dissipation. This situation is modelled by assuming that the medium has a periodic microstructure changing rapidly on the small scale Ξ΅. Each of the periodic microscopic cells is composed of a viscoelastic matrix containing a rigid particle in frictional contact with the matrix. We use the methods of two‐scale convergence to obtain effective acoustic equations for the homogenized material. The effective equations are history‐dependent and contain the body force term, reminiscent of the well‐known Stokes drag force. Copyright Β© 2004 John Wiley & Sons, Ltd.

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