Extraction of Stress Intensity Factors by Using the P-Version Finite Element Method and Contour Integral Method  

作　　者：Jianming Zhang Jun Chen Liang Wu 

机构地区：[1]Department of Engineering Mechanics,Kunming University of Science and Technology,Kunming 650500,China [2]Department of Water Resources and Hydropower Engineering,Kunming University of Science and Technology,Kunming 650500,China

出　　处：《Acta Mechanica Solida Sinica》2020年第6期836-850,共15页固体力学学报（英文版）

基　　金：the firancinal support of the National Natural Science Foundation of China(Grant No:51769011)for this work,and the authors are also deeply grateful to the editors and revewerse for tbeir rigorous work and valuable comments.

摘　　要：The stress intensity factors(SIFs)for two-dimensional cracks are extracted using the p-version finite element method(P-FEM)and the contour integral method.Several numerical experiments,e.g.,crack initiating from the edge of a circular hole under an unidirectional uniform tension and two equal-length,unequal-length hole-edge cracks,respectively,at a rectangular plate,an inclined centered crack under uniaxial tension at a square plate and a pipeline crack model,are used to demonstrate the accuracy and effectiveness of the approaches.SIFs are presented for the effects of various crack lengths and length-width ratio.Numerical results are analyzed and compared with reference solutions and results obtained by the Voronoi cell finite element method,boundary element method,high-order extended finite element method(high-order XFEM)and commercial finite element software ABAQUS in the available literature.Numerical results are in good agreement with the benchmark problems and show faster convergence rate,higher accuracy and better numerical stability.

关 键 词：Fracture mechanics Stress intensity factors P-version finite element method Contour integral method 

分 类 号：O34[理学—固体力学]