双材料楔形结合点的奇性分析

Stress singularities near corner of wedged dissimilar materials

基于哈密顿原理，研究了两种材料楔形结合的应力奇性问题，采用变量代换方法，将问题的控制方程导向哈密顿体系，进而通过分高变量法解析地求解双材料楔形结合点问题的扇形域方程，导出两种材料楔形结合点奇性与位移、应力本征函数计算的解析表达式；利用计算机对其进行求解，数值结果验证了本方法的正确性。本方法公式推导十分简洁，是这类问题分析的新方法。

Based on Hamiltonian principle, the stress singularitles at the interface corners inwedged dissimilar materials are considered. The governing equations of the problems are derivedto be in Hamiltonian form by means of variable substitution. The methods of separatinn ofvariables are used to solve the equations in sectorial domain of wedged dissimilar materials,andthe analytical formulation for computation of the wedged bimaterial displacement and stresseigenfunction are put forward. The numerical results obtained through the computer program,demonstrate the correctness of the method proposed.The formulae derivation process is verysimple so the technique used is a new method for the solution of the problem studied.