含有限尺寸效应的粘弹性介质亚波长自由分层边缘均匀化

R. Belemou, A. Sbitti, J.-J. Marigo, A. Tsouli
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引用次数: 1

摘要

提出了具有自由边的层状粘弹性介质的均匀化问题。研究了半无限粘弹性地基上的二维周期性层合板对接触界面的剪切波传播的影响。在谐波区域内,采用二阶均匀化和匹配渐近展开方法,导出了具有有效边界和跳跃条件的等效各向异性板。以封闭形式得到了反射系数和位移场,并通过与直接数值的比较检验了它们在Neumann边界条件下的有效性。
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Homogenization of subwavelength free stratified edge of viscoelastic media including finite size effect
This paper proposes the homogenization for a stratified viscoelastic media with free edge. We consider the effect of two-dimensional periodically stratified slab over a semi-infinite viscoelastic ground on the propagation of shear waves hitting the interface. Within the harmonic regime, the second order homogenization and matched-asymptotic expansions method is employed to derive an equivalent anisotropic slab associated with effective boundary and jump conditions for the displacement and the normal stress across an interface. The reflection coefficients and the displacement fields are obtained in closed forms and their validity is inspected by comparison with direct numerics in the case of layers associated with Neumann boundary conditions.
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来源期刊
Mathematical Modeling and Computing
Mathematical Modeling and Computing Computer Science-Computational Theory and Mathematics
CiteScore
1.60
自引率
0.00%
发文量
54
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