Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/7723
Title: Two parallel symmetry permeable cracks in functionally graded piezoelectric/piezomagnetic materials under anti-plane shear loading
Authors: Zhou, ZG
Wang, B
Keywords: Functionally graded piezoelectric/piezomagnetic materials
Schmidt method
Dual integral equations
Parallel cracks
Issue Date: 2004
Publisher: Pergamon Press
Source: International journal of solids and structures, 2004, v. 41, no. 16-17, p. 4407-4422 How to cite?
Journal: International journal of solids and structures 
Abstract: In this paper, the behavior of two parallel symmetry permeable cracks in functionally graded piezoelectric/piezomagnetic materials subjected to an anti-plane shear loading is investigated. To make the analysis tractable, it is assumed that the material properties c44, e15, ε11, q15, d11 and μ11 vary exponentially with coordinate parallel to the crack. By using the Fourier transform, the problem can be solved with the help of two pairs of dual integral equations in which the unknown variables are the jumps of the displacements across the crack surfaces. These equations are solved using the Schmidt method. The normalized stress, the electrical displacement and the magnetic flux intensity factors are determined for different geometric for the permeable electric boundary conditions. Numerical examples are provided to show the effect of the geometry of the interacting crack and the parameter β describing the functionally graded materials upon the stress intensity factor of the cracks.
URI: http://hdl.handle.net/10397/7723
ISSN: 0020-7683
EISSN: 1879-2146
DOI: 10.1016/j.ijsolstr.2004.03.004
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