具有界面热阻的接触传热耦合问题的数值模拟

发展了基于界面热阻本构模型的热接触耦合问题有限元分析的新算法。对接触边界的热交换分析采用压力相关的传热本构模型，为考虑力学-传热之间的耦合特性，建立两类变分方程，一类是热力学变分泛函，其考虑接触区域对结构热传导的影响。另一类是热弹性接触分析的参数变分原理，可以方便地对接触问题进行求解。文中给出有限元分析的离散公式，并进一步给出进行两类问题耦合分析的迭代算法，其中接触分析的惩罚因子是可以消除的。数值结果在验证文中算法的同时证实了耦合分析的重要性。

NUMERICAL SIMULATION FOR HEAT TRANSFER AND CONTACT PROBLEMS WITH A THERMAL-RESISTANT CONSTITUTIVE MODEL

A new algorithm for the heat transfer analysis of the contact problem is developed in terms of a thermal resistant constitutive model, which was established and generally called contact pressure dependent law in the analysis of thermomechanical contact problems. Two kinds of variational principles for the two different problems, i.e. heat transfer and contact analysis, are respectively put forward for solving of the coupled problems. Based on the proposed variational principles, the finite element discretized formulations, where the penalty factor in contact equations can be cancelled, are derived, and an iteration algorithm is then established for the numerical solution of the problems. Numerical examples are computed and the results demonstrate the validity of model and algorithm presented as well as the importance of the thermal-resistant contact analysis in engineering.