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

• Published in: Acta mechanica solida Sinica Vol. 23; no. 4; pp. 336 - 352
• Main Authors: Zhou, Zhengong, Zhang, Peiwei, Wu, Linzhi
• Format: Journal Article
• Language: English
• Published: Singapore Elsevier Ltd 01.08.2010; Springer Singapore; P.O.Box 3010,No.2,Yikuang Street,Center for Composite Materials and Structures,Harbin Institute of Technology,Harbin,150080,China
• Subjects: Classical Mechanics; Composite materials; crack shielding effect; Crack tips; Cracks; Displacement; Engineering; Integral equations; Magnetic flux; Mathematical models; mechanics of solids; multiple parallel symmetric cracks; piezoelectric/piezomagnetic composites; Piezoelectricity; Planes; Surfaces and Interfaces; Theoretical and Applied Mechanics; Thin Films; 复合材料; 对偶积分方程; 渗透模型; 裂纹尖端应力场; 裂纹面; multiple parallel symmetric cracks; piezoelectric/piezomagnetic composites; crack shielding effect; mechanics of solids
• ISSN: 0894-9166; 1860-2134
• DOI: 10.1016/S0894-9166(10)60035-3

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.