A partitioned solution approach for electro-thermo-mechanical problems

A partitioned solution approach for electro-thermo-mechanical problems
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电热机械问题的分区求解方法

DOI:
10.1007/s00419-014-0941-z
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发表时间:
2015
影响因子:
2.8
通讯作者:
Düster
Düster
中科院分区:
工程技术4区
文献类型:
--
作者:
Erbts ;Hartmann ;Düster

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本文的目的是介绍多物理耦合场建模的新方面,特别是对电热机械问题的分割处理。这类耦合问题在许多工业应用中都会出现,例如微电子设备、场辅助烧结工艺或电保险丝。在这篇文章中,我们将自己限制在有限应变下的非线性热弹性和电场产生的热源的情况下。没有考虑塑性效应。其目的是确定算法与单独涉及的领域的耦合,并演示全局分区解策略。我们还介绍了几种提高算法稳定性和加速迭代耦合过程的方法。本文旨在提出一种针对场之间不同耦合级别的有效分区耦合策略。为此,我们借助于几个数值例子来研究所提出的算法,从线性问题到高度非线性问题,涉及大量的几何变化和有限应变。
The purposes of this article are to present new aspects of modeling multi-physically coupled fields, focusing particularly on the partitioned treatment of electro-thermo-mechanical problems. Coupled problems of this kind occur in many industrial applications, such as micro-electrical devices, field-assisted sintering processes or electrical fuses. In this paper, we restrict ourselves to the case of nonlinear thermo-elasticity at finite strains and a heat source resulting from the electrical field. Plasticity effects are not taken into consideration. The objective is to ascertain the coupling of the algorithm relating to the fields involved individually and to demonstrate a global partitioned solution strategy. We also introduce several methods that increase algorithmic stability and accelerate the iterative coupling process. This article aims to present an efficient partitioned coupling strategy for different coupling levels between the fields. To this end, we study the proposed algorithm with the help of several numerical examples ranging from linear to highly nonlinear problems, involving substantial geometric changes and finite strains.
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