Homogenization of Stratified Elastic Composites with High Contrast

Homogenization of Stratified Elastic Composites with High Contrast
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高对比度分层弹性复合材料的均匀化

DOI:
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发表时间:
2017
影响因子:
2
通讯作者:
Michel Bellieud
Michel Bellieud
中科院分区:
数学2区
文献类型:
--
作者:
Michel Bellieud

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我们确定的线性弹性动力学方程的解的渐近行为,在分层介质中,包括一个交替的可能非常坚硬的层与软得多的层,当层的厚度趋于零。极限方程可能取决于表征弯曲效应的高阶项。这项工作的一部分是设置在非周期性均匀化的背景下,并扩展到随机均匀化。
We determine the asymptotic behavior of the solutions to the linear elastodynamic equations in a stratified media comprising an alternation of possibly very stiff layers with much softer ones, when the thickness of the layers tends to zero. The limit equations may depend on higher order terms, characterizing bending effects. A part of this work is set in the context of nonperiodic homogenization and an extension to stochastic homogenization is presented.