域外奇点法在弹性问题及其物性值反问题中的应用

本文采用域外奇点法中的位移法和应力法求解弹性问题，并对弹性物性值进行反分析，由有限个观测点的位移值。同时反算出材料的纵向弹性模量Ｅ和泊桑比Ｖ。本文方法属于边界型解法，可有效地避免解的奇异性，不需要数值积分，具有输入数据少，精度高，计算时间短和程序编制容易等优点。

APPLICATIONS OF THE METHOD OF OUTER SINGULAR POINT IN ELASTIC PROBLEMS AND INVERSE PROBLEMS FOR ELASTIC MATERIAL PARAMETERS

In this paper, the method of outer singular point, both the displacement method and the stress method, are used to solve the elastic problems and inverse problems for obtaining elastic constants of materials. By the inverse method, the Young's modulus E and the Poisson's ratio v may be simultaneously found only with several displacements at some observation points known. This method belongs to boundary type method that it may avoid the singularity of the solution effectively and the numerical integral also. Thus, it saves the use of the input data and also saves the computer time. Besides, by this method the compiling of the program becomes easy.