横观各向同性轴对称问题的加权残数法及其工程应用

利用文[1,5]的理论,本文提出用两个调和函数的方法求解横观各向同性的轴对称问题,将它引入加权残数法,推得了一系列简洁的边界型最小二乘配法公式,就结构工程和岩土工程的两个例题作了计算,得到了有用的结论。本文的方法比列赫尼茨基的重调和函数法更为简便。     

关于用三维等参元计算应力强度因子

在生产实际中我们会遇到很多各种带有裂缝的部件需要确定在不同载荷条件下的应力强度因子,而对这些问题要得到精确的分析解是不大可能的,因此必须考虑用各种数值法,有限元法即是较为常用的一种。用有限元法计算裂缝的应力强度因子已有 ...     

球面各向同性弹性体的平衡问题

本文将位移和体积力同时进行分解,把含体积力的球面各向同性三维弹性理论平衡问题,化为一个二阶微分方程和一个四阶微分方程.利用球面函数的性质和级数展开方法,得到了相应于这两个方程齐次方程的级数解,可用于解决整球体和整球壳的平衡问题.最后,给出了旋转球的特解.     

THE IMPROVED ISOPARAMETRIC TRANSFORMATION IN BEM

The midside node sensitivity of eight-node isoparametric element in3-D BEM isinvestigated.The paper points out that the suggestion,based upon which the midside nodesshould be located in the‘middle third’of distance between the adjacent corners,should befollowed even more strictly for the conventional isoparametric transformation(CIT)inBEM as that in FEM.A new coordinate transformation relation has been put forward tosolve the singular integral problem.The computation is carried to two cases:a cubic bodysubjected to tensile stress and pure bending.The numerical results show that the improvedisoparametric transformation(IIT)is easier and more flexible to practice.     

GENERAL SOLUTIONS OF AXISYMMETRIC PROBLEMS IN TRANSVERSELY ISOTROPIC BODY

In this paper we solve axisymmetric problems by stress and deduce a series of valuable general solutions by unified method. Some of them are well-known solutions, and others have not appeared in the literature. We also prove the completeness of these general solutions.