Numerical modeling of thermo-electro-viscoelasticity with field-dependent material parameters
Numerical modeling of thermo-electro-viscoelasticity with field-dependent material parameters
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DOI：
10.1016/j.ijnonlinmec.2018.08.016
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发表时间：
2018-11-01
影响因子：
3.2
通讯作者：
Steinmann, Paul
中科院分区：
文献类型：
--
作者：
Mehnert, Markus;Hossain, Mokarram;Steinmann, Paul
在这一贡献中，我们提出了一个热电粘弹性的数学框架及其数值实现，其中考虑了本构模型中出现的相关材料参数的场依赖性。聚合物材料通常是粘弹性的，对热波动非常敏感。一些实验研究表明，热-电-机耦合问题本构模型中的主要材料参数随温度和外加电场的变化而变化。因此，我们提出了一个在热-电-机械耦合载荷作用下的聚合物材料的真实建模框架，其中温度和电场不仅被视为独立的场，而且还显示了对材料参数的影响。此外，我们在有限元方法的背景下给出了耦合平衡律的数值离散。为了验证所提出的热-电-机耦合框架的性能，数值求解了几个边值问题。
In this contribution, we propose a mathematical framework and its numerical implementation for thermo-electro-viscoelasticity taking into account field-dependence of the relevant material parameters appearing in the constitutive model. Polymeric materials are typically viscoelastic and highly susceptible to thermal fluctuations. Several experimental studies suggest that major material parameters appearing in a constitutive model of a thermo-electro-mechanically coupled problem evolve with respect to temperature as well as the applied electric field. Hence we propose a framework for the realistic modeling of polymeric materials under coupled thermo-electro-mechanical loads in which the temperature and electric field are not only considered as independent fields but also show an effect on the material parameters. Furthermore we present the numerical discretization of the coupled balance laws within the context of the finite element method. To demonstrate the performance of the proposed thermo-electro-mechanically coupled framework, several boundary value problems are solved numerically.