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考虑传热接触耦合作用的热力学分析问题大量存在于工程中 ,分析的难点是必须考虑热与可移动接触边界间的耦合作用 .针对这类问题的求解 ,该文给出了接触边界上热交换与温度边界条件 ,并在此基础上建立了两类变分方程 ,一类是热力学变分泛函 ,其考虑了接触区域对结构热传导的影响 ;另一类是二维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 ,数值结果验证了该文的理论与算法 .
Considering the thermodynamic analysis of heat transfer contact coupling, a large number of problems exist in the engineering. The difficulty of analysis is that the coupling between heat and movable contact boundary must be considered. For solving this kind of problem, And temperature boundary conditions, and on this basis, two types of variational equations are established. One is the thermodynamic variational functional which considers the influence of the contact area on the thermal conduction of the structure. The other is the two-dimensional thermoelastic contact analysis parameters The principle of variational principle can solve the problem of contact easily.It gives the discrete formula of finite element analysis and gives an iterative algorithm of coupling analysis of two kinds of problems, in which the penalty factor of contact analysis can be eliminated, and the numerical result is verified The theory and algorithm of this article.