A hierarchical asymptotic homogenization approach for viscoelastic composites
A hierarchical asymptotic homogenization approach for viscoelastic composites
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DOI：
10.1080/15376494.2020.1722872
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发表时间：
2020-02-07
影响因子：
2.8
通讯作者：
Lebon, Frederic
中科院分区：
文献类型：
--
作者：
Cruz-Gonzalez, Oscar Luis;Ramirez-Torres, Ariel;Lebon, Frederic
通过三尺度渐近均匀化方法研究了非老化线性粘弹性分层复合材料的有效性能。在这种方法中，我们考虑的假设广义周期性的不同结构层次和他们的特点，通过所谓的分层功能。利用对应原理和Laplace-Carson变换，导出了相应的局部和均匀化问题的表达式，以及各层次的有效系数。考虑到各向同性组件和一个完美的接触，在Laplace-Carson空间中，局部问题的解析解，并计算有效系数。进行有效松弛模量和有效蠕变柔量之间的相互转换过程，以获得关于粘弹性性质的信息。还执行到原始时间空间的数值反演。最后，我们利用潜力的方法和研究的整体性能的分层粘弹性复合结构代表真皮。
Effective properties of non-aging linear viscoelastic and hierarchical composites are investigated via a three-scale asymptotic homogenization method. In this approach, we consider the assumption of a generalized periodicity in the different structural levels and their characterization through the so-called stratified functions. The expressions for the associated local and homogenized problems, and the effective coefficients are derived at each level of organization by using the correspondence principle and the Laplace-Carson transform. Considering isotropic components and a perfect contact at the interfaces between the constituents, analytical solutions, in the Laplace-Carson space, are found for the local problems and the effective coefficients are computed. An interconversion procedure between the effective relaxation modulus and the effective creep compliance is carried out for obtaining information about both viscoelastic properties. The numerical inversion to the original temporal space is also performed. Finally, we exploit the potential of the approach and study the overall properties of a hierarchical viscoelastic composite structure representing the dermis.