考虑焦耳热的电-热-力接触的第三介质方法

中文摘要 AI 辅助

连接器在技术系统中无处不在，且经常将机械接触与电流传递和热量产生相结合。为捕捉这些相互作用的过程，提出了一种基于第三介质概念的电-热-力接触公式。机械接触、电流流动和热传导在统一的有限元框架内表示，无需显式的接触面追踪。变形相关的切换函数控制界面闭合期间电和热传输的起始。电传导通过焦耳热与瞬态热问题耦合，而电导率的温度依赖性则对电流流动提供相应的反馈。耦合的位移、电势和温度场被整体求解，并与独立插值的变形梯度类场相结合，以在严重压缩下实现稳健的第三介质正则化。数值示例展示了接触引起的电流传递、随后的焦耳热和瞬态温度演化，以及粗糙界面渐进闭合过程中局部化的电流路径。

英文摘要

Connectors are ubiquitous in technical systems and frequently combine mechanical contact with electric current transfer and heat generation. To capture these interacting processes, an electro-thermo-mechanical contact formulation based on the third-medium concept is proposed. Mechanical contact, electric current flow, and heat conduction are represented within a unified finite element framework without explicit contact-surface tracking. Deformation-dependent switching functions govern the onset of electrical and thermal transport during interface closure. Electrical conduction is coupled to the transient thermal problem through Joule heating, while the temperature dependence of the electrical conductivity provides the corresponding feedback on the current flow. The coupled displacement, electric potential, and temperature fields are solved monolithically and combined with an independently interpolated deformation-gradient-like field for robust third-medium regularization under severe compression. Numerical examples demonstrate contact-induced current transfer, subsequent Joule heating and transient temperature evolution, as well as localized current paths during progressive closure of rough interfaces.

发表机构

• University of Duisburg-Essen（杜伊斯堡-埃森大学）

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