Abstract
A generalized solution was obtained for the partially debonded elliptic inhomogeneity problem in piezoelectric materials under antiplane shear and inplane electric loading using the complex variable method. It was assumed that the interfacial debonding induced an electrically impermeable crack at the interface. The principle of conformal transformation and analytical continuation were employed to reduce the formulation into two Riemann-Hilbert problems. This enabled the determination of the complex potentials in the inhomogeneity and the matrix by means of series of expressions. The resulting solution was then used to obtain the electroelastic fields and the energy release rate involving the debonding at the inhomogeneity-matrix interface. The validity and versatility of the current general solution have been demonstrated through some specific examples such as the problems of perfectly bonded elliptic inhomogeneity, totally debonded elliptic inhomogeneity, partially debonded rigid and conducting elliptic inhomogeneity, and partially debonded circular inhomogeneity.
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Communicated by HE Fu-bao, Original Member of Editorial Committee, AMM
Foundation items: the National Excellent Young Scholar Science Fund of China (10125209); the National Natural Science Foundation of China (10072041_; the Teaching and Research Award Fund for Outstanding Young Teachers in High Education Institutions of MOE, P.R. China
Biography: ZHONG Zheng (1964 ≈), Professor, Doctor
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Zheng, Z. Analysis of a partially debonded elliptic inhomogeneity in piezoelectric materials. Appl Math Mech 25, 445–457 (2004). https://doi.org/10.1007/BF02437529
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DOI: https://doi.org/10.1007/BF02437529