异形夹杂角端部局部奇异场杂交有限元分析

A Hybrid Finite Element Analysis of Singular Stress Fields around an Irregular Inclusion Corner

首先利用一维有限元特征分析方法计算所得到的异形夹杂角端部应力奇异指数和奇异应力场、位移场角分布函数,并依据Hellinger-Reissner原理,开发出一个特殊的、能够反映夹杂角端部局部弹性现象的n边形超级角端部单元,然后将该超级单元与标准的4节点杂交应力单元耦合在一起构建了一种分析异形夹杂角端部奇异弹性场的新型特殊杂交应力有限元方法。文中给出了两个应用算例,算例结果表明:该文方法不仅使用单元少、计算结果精度高,而且适用范围广,可拓展应用于分析复合材料微结构组织与力学行为关系。

Firstly, a super n-sided polygonal element is developed to simulate local eleastic behavior around an inclusion corner by a one-dimensional finite element method-based eigenanalysis and Hellinger-Reisnner principle. The super element is then incorporated with standard four-node hybrid-stress elements to constitute a hybrid-stress finite element method for the analysis of local singular stress fields arising from inclusion corners. Two numerical examples are finally given, which indicates that the method has good calculating accuracy and wide-range application in analyzing compound materials and relationship of mechanical behavior.