Basic solutions of multiple parallel symmetric mode-III cracks in functionally graded piezoelectric/piezomagnetic material plane  

作　　者：泮世东 周振功 吴林志 

机构地区：[1]Center for Composite Materials and Structures, Harbin Institute of Technology

出　　处：《Applied Mathematics and Mechanics(English Edition)》2013年第10期1201-1224,共24页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Nos.11002041 and11272105);the Key Laboratory Opening Funding of Advanced Composites in Special Environment(No.HIT.KLOF.2009032);the Research Fund for the Doctoral Program of Higher Education ofChina(No.20092302110006)

摘　　要：The Schmidt method is adopted to investigate the fracture problem of multiple parallel symmetric and permeable finite length mode-III cracks in a functionally graded piezoelectric/piezomagnetic material plane. This problem is formulated into dual integral equations, in which the unknown variables are the displacement jumps across the crack surfaces. In order to obtain the dual integral equations, the displacement jumps across the crack surfaces are directly expanded as a series of Jacobi polynomials. The results show that the stress, the electric displacement, and the magnetic flux intensity factors of cracks depend on the crack length, the functionally graded parameter, and the distance among the multiple parallel cracks. The crack shielding effect is also obviously presented in a functionally graded piezoelectric/piezomagnetic material plane with mul- tiple parallel symmetric mode-III cracks.The Schmidt method is adopted to investigate the fracture problem of multiple parallel symmetric and permeable finite length mode-III cracks in a functionally graded piezoelectric/piezomagnetic material plane. This problem is formulated into dual integral equations, in which the unknown variables are the displacement jumps across the crack surfaces. In order to obtain the dual integral equations, the displacement jumps across the crack surfaces are directly expanded as a series of Jacobi polynomials. The results show that the stress, the electric displacement, and the magnetic flux intensity factors of cracks depend on the crack length, the functionally graded parameter, and the distance among the multiple parallel cracks. The crack shielding effect is also obviously presented in a functionally graded piezoelectric/piezomagnetic material plane with mul- tiple parallel symmetric mode-III cracks.

关 键 词：functionally graded piezoelectric/piezomagnetic material multiple parallel symmetric crack crack shielding effect solid mechanics 

分 类 号：TM27[一般工业技术—材料科学与工程]