Stress singularity analysis of anisotropic multi-material wedges under antiplane shear deformation using the symplectic approach  

作　　者：Xiaofei Hu,1 Weian Yao,1, ) and Zhaoxiang Fang2 1)State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China 2)Navigation College, Wuhan University of Technology, Wuhan 430063, China 

出　　处：《Theoretical & Applied Mechanics Letters》2011年第6期14-17,共4页力学快报（英文版）

基　　金：supported by the National Natural Science Foundation of China (10772039);the National Basic Research Program of China (2010CB832704);the National High Technology Research and Development Program of China (2009AA044501)

摘　　要：Symplectic approach has emerged a popular tool in dealing with elasticity problems especially for those with stress singularities. However, anisotropic material problem under polar coordinate system is still a bottleneck. This paper presents a subfield method coupled with the symplectic approach to study the anisotropic material under antiplane shear deformation. Anisotropic material around wedge tip is considered to be consisted of many subfields with constant material properties which can be handled by the symplectic approach individually. In this way, approximate solutions of the stress and displacement can be obtained. Numerical examples show that the present method is very accurate and efficient for such wedge problems. Besides, this paper has extended the application of the symplectic approach and provides a new idea for wedge problems of anisotropic material.Symplectic approach has emerged a popular tool in dealing with elasticity problems especially for those with stress singularities. However, anisotropic material problem under polar coordinate system is still a bottleneck. This paper presents a subfield method coupled with the symplectic approach to study the anisotropic material under antiplane shear deformation. Anisotropic material around wedge tip is considered to be consisted of many subfields with constant material properties which can be handled by the symplectic approach individually. In this way, approximate solutions of the stress and displacement can be obtained. Numerical examples show that the present method is very accurate and efficient for such wedge problems. Besides, this paper has extended the application of the symplectic approach and provides a new idea for wedge problems of anisotropic material.

关 键 词：anisotropic material symplectic approach antiplane stress singularity 

分 类 号：O343[理学—固体力学]