Homogenization of a viscoelastic matrix in linear frictional contact

Homogenization of a viscoelastic matrix in linear frictional contact
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线性摩擦接触中粘弹性基体的均匀化

DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
Xuming Xie
Xuming Xie
中科院分区：
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文献类型：
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作者：
R. Gilbert;A. Panchenko;Xuming Xie

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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 ε. 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 © 2004 John Wiley & Sons, Ltd.