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.

中文翻译：

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各向异性线性热粘弹性本构律：时域中的弹性松弛和热膨胀蠕变。

提出了时域线性热粘弹性的本构材料定律。给出了随时间变化的弛豫公式，以实现完全各向异性，即，弹性和粘性特性均为各向异性。因此，张量张量的每个元素由其自己的独立Prony级数展开来描述。超过通常的粘弹性，随时间变化的热膨胀松弛/蠕变被视为固有的材料行为。推导了相关方程，并提出了一种增量式隐式时间积分方案。在平面应力假设下，将开发成果实施到用于正交异性材料对称性的隐式FEM软件中。即使这是一个减少的问题，所有基本功能都存在，并且可以对方法进行整个验证。