Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (7): 871-882 .doi: https://doi.org/10.1007/s10483-006-0702-y

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INVESTIGATION OF BEHAVIOR OF MODE-I INTERFACE CRACK IN PIEZOELECTRIC MATERIALS BY USING SCHMIDT METHOD

ZHOU Zhen-gong, WANG Biao   

    1. Center for composite materials, Harbin Institute of Technology, Harbin 150001, P. R. China;
    2. School of Physics and Engineering, Sun Yat-Sen University, Guangzhou 510275, P. R. China
  • Received:2005-01-06 Revised:2006-03-21 Online:2006-07-18 Published:2006-07-18
  • Contact: ZHOU Zhen-gong

Abstract: The behavior of a Mode-I interface crack in piezoelectric materials was investigated under the assumptions that the effect of the crack surface overlapping very near the crack tips was negligible. By use of the Fourier transform, the problem can be solved with the help of two pairs of dual
integral equations. To solve the dual integral equations, the jumps of the displacements across the crack surfaces were expanded in a series of Jacobi polynomials. It is found that the stress and the electric displacement singularities of the present interface crack solution are the same as ones of the ordinary crack in homogenous materials. The solution of the present paper can be returned to the exact solution when the upper half plane material is the same as the lower half plane material.

2010 MSC Number: 

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