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

作者：Pan Shi dong^*; Zhou Zhen gong; Wu Lin zhi

来源：Applied Mathematics and Mechanics (English Edition ), 2013, 34(10): 1201-1224.

DOI：10.1007/s10483-013-1739-6

• functionally graded piezoelectric/piezomagnetic material
• multiple parallel symmetric crack
• crack shielding effect
• solid mechanics

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 multiple parallel symmetric mode-III cracks.

• 出版日期2013-10
• 单位哈尔滨工业大学