MULTIPLE PARALLEL SYMMETRIC PERMEABLE MODEL-Ⅲ CRACKS IN A PIEZOELECTRIC/PIEZOMAGNETIC COMPOSITE MATERIAL PLANE  

作　　者：Zhengong Zhou Peiwei Zhang Linzhi Wu 

机构地区：[1]P.O.Box 3010, No.2, Yikuang Street, Center for Composite Materials and Structures, Harbin Institute of Technology, Harbin, 150080, China

出　　处：《Acta Mechanica Solida Sinica》2010年第4期336-352,共17页固体力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (Nos.10572043 and 10872057);the Research Fund for the Doctoral Program of Higher Education of China (No.20092302110006);the Natural Science Foundation of Hei Long Jiang Province (No.A2007-05)

摘　　要：In this paper, the interactions of multiple parallel symmetric and permeable finite length cracks in a piezoelectric/piezomagnetic material plane subjected to anti-plane shear stress loading are studied by the Schmidt method.The problem is formulated through Fourier transform into dual integral equations, in which the unknown variables are the displacement jumps across the crack surfaces.To solve the dual integral equations, the displacement jumps across the crack surfaces are directly expanded as a series of Jacobi polynomials.Finally, the relation between the electric field, the magnetic flux field and the stress field near the crack tips is obtained.The results show that the stress, the electric displacement and the magnetic flux intensity factors at the crack tips depend on the length and spacing of the cracks.It is also revealed that the crack shielding effect presents in piezoelectric/piezomagnetic materials.In this paper, the interactions of multiple parallel symmetric and permeable finite length cracks in a piezoelectric/piezomagnetic material plane subjected to anti-plane shear stress loading are studied by the Schmidt method.The problem is formulated through Fourier transform into dual integral equations, in which the unknown variables are the displacement jumps across the crack surfaces.To solve the dual integral equations, the displacement jumps across the crack surfaces are directly expanded as a series of Jacobi polynomials.Finally, the relation between the electric field, the magnetic flux field and the stress field near the crack tips is obtained.The results show that the stress, the electric displacement and the magnetic flux intensity factors at the crack tips depend on the length and spacing of the cracks.It is also revealed that the crack shielding effect presents in piezoelectric/piezomagnetic materials.

关 键 词：piezoelectric/piezomagnetic composites multiple parallel symmetric cracks crack shielding effect mechanics of solids 

分 类 号：TB33[一般工业技术—材料科学与工程] TQ028.8[化学工程]