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A finite element computational scheme for transient and nonlinear coupling thermoelectric fields and the associated thermal stresses in thermoelectric materials

机译:热电材料中瞬态和非线性耦合热电场及相关热应力的有限元计算方案

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This paper proposes a finite element model for the determination of time dependent thermoelectric coupling fields. The model takes into account all thermoelectric effects, including Joule heating, Thomson effect, Peltier effect and Fourier's heat conduction. Temperature-dependent material properties are also taken into account. The method uses the finite element space discretization to obtain a first-order system of differential equations. The system is solved by employing finite difference scheme to resolve the time dependent response. A computation code is developed in commercial programming software Matlab. Once the temperature field is obtained, the thermal stress analysis can be conducted through standard thermoelasticity or finite element analysis. An equation to evaluate the stress level in the thermoelectric materials is identified. This is the first finite element scheme to deal with transient and nonlinear thermoelectric coupling fields in thermoelectric materials. (C) 2016 Elsevier Ltd. All rights reserved.
机译:本文提出了用于确定时间相关热电耦合场的有限元模型。该模型考虑了所有热电效应,包括焦耳热,汤姆森效应,珀尔帖效应和傅立叶热传导。还考虑了取决于温度的材料特性。该方法使用有限元空间离散化获得一阶微分方程组。该系统通过采用有限差分方案来解决时间相关的响应。在商业编程软件Matlab中开发了计算代码。一旦获得温度场,就可以通过标准的热弹性或有限元分析来进行热应力分析。确定了评估热电材料中应力水平的方程式。这是处理热电材料中瞬态和非线性热电耦合场的第一个有限元方案。 (C)2016 Elsevier Ltd.保留所有权利。

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