摘要
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 .
The thermal mechanical analysis for the coupled problems of interaction between heat transfer and contact processes can be found in many engineering fields. The difficult aspect of the problem is the consideration of the coupled interaction on the contact boundaries. To solve this problem, the conditions for heat transfer on the contact boundaries are given in this paper, and two kinds of variational principle for the two different problems, i.e.heat transfer and contact analysis, are respectively put forward. Based on the proposed variational principles, the finite element discretized formulations, where the penalty factor in contact equation can be cancelled, are derived, and an iteration algorithm is shown for the solution of the coupled problems. Two examples are computed and the results demonstrate the validity of the model and algorithm presented here.
出处
《固体力学学报》
CAS
CSCD
北大核心
2000年第3期217-224,共8页
Chinese Journal of Solid Mechanics
基金
国家自然科学基金!(19872 0 16
19872 0 17)
国家重点基础研究专题经费!(G19990 32 8)
国家教育部优秀青年教师基金资助课题
关键词
传热
接触分析
迭工法
规划法
有限元法
heat transfer, contact analysis, iterative method, programming method, finite element method
