STRESS SINGULARITY ANALYSIS OF MULTI-MATERIAL WEDGES UNDER ANTIPLANE DEFORMATION  

作　　者：Xiaofei Hu Weian Yao 

机构地区：[1]State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology

出　　处：《Acta Mechanica Solida Sinica》2013年第2期151-160,共10页固体力学学报（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No. 10772039);the National Basic Research Program of China (Program 973, No. 2010CB832704)

摘　　要：With the help of the coordinate transformation technique, the symplectic dual solv- ing system is developed for multi-material wedges under antiplane deformation. A virtue of present method is that the compatibility conditions at interfaces of a multi-material wedge are expressed directly by the dual variables, therefore the governing equation of eigenvalue can be derived easily even with the increase of the material number. Then, stress singularity on multi-material wedges under antiplane deformation is investigated, and some solutions can be presented to show the validity of the method. Simultaneously, an interesting phenomenon is found and proved strictly that one of the singularities of a special five-material wedge is independent of the crack direction.With the help of the coordinate transformation technique, the symplectic dual solv- ing system is developed for multi-material wedges under antiplane deformation. A virtue of present method is that the compatibility conditions at interfaces of a multi-material wedge are expressed directly by the dual variables, therefore the governing equation of eigenvalue can be derived easily even with the increase of the material number. Then, stress singularity on multi-material wedges under antiplane deformation is investigated, and some solutions can be presented to show the validity of the method. Simultaneously, an interesting phenomenon is found and proved strictly that one of the singularities of a special five-material wedge is independent of the crack direction.

关 键 词：analytical method EIGENVALUES INTERFACE CRACK symplectic space 

分 类 号：TB302.3[一般工业技术—材料科学与工程]