STRESS INTENSITY FACTORS CALCULATION IN ANTI-PLANE FRACTURE PROBLEM BY ORTHOGONAL INTEGRAL EXTRACTION METHOD BASED ON FEMOL  

作　　者：Xu Yongjun Yuau Si 

机构地区：[1]Institute of Mechanics, Chinese Academy of Sciences, Beifing 100080, China [2]Department of Civil Engineering, Tsinghua University, Beijing 100084, China

出　　处：《Acta Mechanica Solida Sinica》2007年第1期87-94,共8页固体力学学报（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos. 59525813 and 19872066).

摘　　要：For an anti-plane problem, the differential operator is self-adjoint and the corresponding eigenfunctions belong to the Hilbert space. The orthogonal property between eigenfunctions （or between the derivatives of eigenfunctions） of anti-plane problem is exploited. We developed for the first time two sets of radius-independent orthogonal integrals for extraction of stress intensity factors （SIFs）, so any order SIF can be extracted based on a certain known solution of displacement （an analytic result or a numerical result）. Many numerical examples based on the finite element method of lines （FEMOL） show that the present method is very powerful and efficient.For an anti-plane problem, the differential operator is self-adjoint and the corresponding eigenfunctions belong to the Hilbert space. The orthogonal property between eigenfunctions （or between the derivatives of eigenfunctions） of anti-plane problem is exploited. We developed for the first time two sets of radius-independent orthogonal integrals for extraction of stress intensity factors （SIFs）, so any order SIF can be extracted based on a certain known solution of displacement （an analytic result or a numerical result）. Many numerical examples based on the finite element method of lines （FEMOL） show that the present method is very powerful and efficient.

关 键 词：anti-plane problem Hilbert space eigenvalue EIGENFUNCTION orthogonal relationship stress intensity factor finite element method of lines 

分 类 号：O346.1[理学—固体力学]