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An anisotropic linear thermo-viscoelastic constitutive law: Elastic relaxation and thermal expansion creep in the time domain

机译:各向异性线性热粘弹性本构介法:时域弹性松弛和热膨胀蠕变

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摘要

A constitutive material law for linear thermo-viscoelasticity in the time domain is presented. The time-dependent relaxation formulation is given for full anisotropy, i.e.,both the elastic and the viscous properties are anisotropic. Thereby, each element of the relaxation tensor is described by its own and independent Prony series expansion. Exceeding common viscoelasticity, time-dependent thermal expansion relaxation/creep is treated as inherent material behavior. The pertinent equations are derived and an incremental, implicit time integration scheme is presented.The developments are implemented into an implicit FEM software for orthotropic material symmetry under plane stress assumption. Even if this is a reduced problem, all essential features are present and allow for the entire verification and validation of the approach. Various simulations on isotropic and orthotropic problems are carried out to demonstrate the material behavior under investigation.
机译:提出了时域中线性热粘弹性的组成型材料规律。 给出了时间依赖性的弛豫制剂,用于全部各向异性,即弹性和粘性特性是各向异性的。 因此,通过其自身和独立的掌序列扩展来描述松弛张量的每个元件。 超过常见的粘弹性,时间依赖的热膨胀弛豫/蠕变被视为固有的材料行为。 介绍了相关方程,并提出了增量的隐式时间集成方案。在平面应力假设下,开发被实现为用于正射材料对称的隐式FEM软件。 即使这是一个缩小的问题,即使是缩短的问题,也存在所有基本特征,并允许整个验证和验证方法。 进行各种对各向同性和正交问题的模拟,以证明正在调查的材料行为。

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