功能梯度材料开裂三点弯曲试件的裂纹端应力强度因子  

Sress Intensity Factors for Cracked Three Point Bending Specimen of Functionally Graded Materials

作　　者：陈宜周[1] 林筱云[1] 

机构地区：[1]江苏大学工程力学研究所,江苏镇江212013

出　　处：《力学季刊》2005年第1期116-120,共5页Chinese Quarterly of Mechanics

基　　金：国家自然科学基金(10272053)

摘　　要：本文利用能量释放率法计算功能梯度材料开裂三点弯曲试件的裂纹端应力强度因子。在给定力作用下算出裂纹长度为“a”和“a+Δa”时的二组解,解中包括集中力作用处的位移。从二组解中的相应位移改变值便可以决定出能量释放率。再从能量释放率可以算出裂纹端应力强度因子。本文用有限元方法计算开裂三点弯曲试件的位移。正因为利用了能量释放率法,即利用一种间接法来求裂纹端应力强度因子,从而可用常规有限元来解决问题。The energy release method was used to evaluate the stress intensity factors at crack tip for a three points bending specimen made of functionally graded materials. Two sets of solution, one for crack length “a” and other for “a+Δa”, were investigated. The displacement at the boundary point of loading can be also evaluated for the obtained solution. From the variation for displacement in two sets of solution, the energy release rate was found, it can be used to obtain the stress intensity factors at crack tip. The finite element method is used to obtain the displacement for the cracked specimen. Since an indirect method, the energy release method is used to solve the problem, the usual finite element can be used in the present study.

关 键 词：功能梯度材料 应力强度因子 能量释放率法 有限单元法 

分 类 号：O343.1[理学—固体力学]