Dissipation energy based parameter identification of anisotropic linear viscoelastic composites,ZAMM - Journal of Applied Mathematics and Mechanics

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Dissipation energy based parameter identification of anisotropic linear viscoelastic composites
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2020-08-06 , DOI: 10.1002/zamm.201900340
Micheal Mika ₁ , Thomas Horst ₁ , Ralf Landgraf ₂

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The current work presents a relaxation analysis based procedure to identify effective material parameters of the multiaxial generalized Maxwell model (GMM) by a numerical homogenization of the microscopic dissipation energy density for anisotropic linear viscoelastic composites. The employed GMM enables the derivation of a thermodynamically consistent constitutive law and a function of the dissipation energy density for direction‐dependent viscoelastic materials. The identity of this energy function to the microstructure's homogenized dissipation energy density is utilized for the identification of effective relaxation times. Furthermore, the identified relaxation times enable a simple determination of the remaining stiffness parameters. Finally, the presented procedure is demonstrated and evaluated for a randomly endless fibre‐reinforced plastic with a polymer matrix exhibiting a significant viscoelastic behaviour.

中文翻译：

基于耗散能的各向异性线性粘弹性复合材料参数识别

当前的工作提出了一种基于松弛分析的程序，通过对各向异性线性粘弹性复合材料的微观耗散能量密度进行数值均化，来识别多轴广义麦克斯韦模型（GMM）的有效材料参数。所采用的GMM能够推导热力学上一致的本构定律，并能得出与方向相关的粘弹性材料的耗散能量密度的函数。该能量函数与微结构的均匀耗散能量密度的同一性被用于识别有效弛豫时间。此外，所识别的松弛时间使得能够简单确定剩余的刚度参数。最后，

更新日期：2020-08-06

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