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Impact of interlayer on the anisotropic multi-layered medium overlaying viscoelastic layer under axisymmetric loading

机译:轴对称载荷下夹层对各向异性粘弹性层上多层介质的影响

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摘要

Multi-layered media is the most common structure in artificial and natural surroundings, and it is considered as a good candidate for mathematical model. The anisotropic properties and viscoelastic properties of layer materials have been widely used in multi-layered medium. Furthermore, the interlayer condition between the layers also plays an important role in the mechanical behavior of multi-layered medium. Despite many numerical approaches having been applied in these analyses, only few analytical solution were developed to analyze the effects of these three issues at the same time. The objective of this study is to develop an analytical solution that can be used for analyzing the impact of interlayer conditions on the mechanical behavior of anisotropic multi-layered medium overlaying viscoelastic layer subjected to axisymmetric loading, but the anisotropy property was approximated as transversely isotropy. The interlayer condition between the adjacent layers will also be considered. Details of the mathematical derivation, implementation and verification of the proposed analytical solution were presented. Subsequent numerical results demonstrate that both viscoelastic, transverse isotropy and interlayer condition could substantially contribute to the mechanical behavior of the multi-layered medium.
机译:多层介质是人工和自然环境中最常见的结构,被认为是数学模型的良好选择。层材料的各向异性和粘弹性已广泛用于多层介质中。此外,各层之间的层间条件在多层介质的机械性能中也起着重要作用。尽管在这些分析中使用了许多数值方法,但只有极少数的分析解决方案可以同时分析这三个问题的影响。这项研究的目的是开发一种分析解决方案,该分析解决方案可用于分析层间条件对经受轴对称载荷的各向异性多层介质覆盖粘弹性层的力学行为的影响,但各向异性特性近似为横向各向同性。还将考虑相邻层之间的层间条件。提出了详细的数学推导,实现和验证所提出的分析解决方案。随后的数值结果表明,粘弹性,横向各向同性和层间条件都可以极大地促进多层介质的机械性能。

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