Four parallel non-symmetric permeable mode-III cracks in a functionally graded piezoelectric/piezomagnetic material plane

ZHOU Zhengong

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Four parallel non-symmetric permeable mode-III cracks in a functionally graded piezoelectric/piezomagnetic material plane

ZHOU Zhengong * #

P. O. Box 3010, No.2, Yikuang Street, Center for Composite Materials and Structures, Harbin Institute of Technology, Harbin, 150080, P. R. China.

*Correspondence author

#Submitted by

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Funding: This work was supported by the Research Fund for the Doctoral Program of Higher Education of China （No.20092302110006)）

Opened online: 2 December 2011

Accepted by: none

Citation: ZHOU Zhengong.Four parallel non-symmetric permeable mode-III cracks in a functionally graded piezoelectric/piezomagnetic material plane[OL]. [ 2 December 2011] http://en.paper.edu.cn/en_releasepaper/content/4451508

The behavior of four parallel non-symmetric permeable finite length cracks in a functionally graded piezoelectric/piezomagnetic material plane subjected to anti-plane shear stress loading was studied by the Schmidt method. The problem was formulated through Fourier transform into four pairs of 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 were directly expanded as a series of Jacobi polynomials. The results show that the stress, the electric displacement and the magnetic flux intensity factors at the crack tips depend on the material parameters, the lengths and spacing of cracks. It is also revealed that the crack shielding effect presents in functionally graded piezoelectric/piezomagnetic materials.

Keywords:mechanics of solids; unctionally graded piezoelectric/piezomagnetic materials; parallel non-symmetric cracks; crack shielding effect

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