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Antiplane internal crack normal to the edge of a functionally graded piezoelectric/piezomagnetic half plane

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Abstract

This paper deals with the antiplane magnetoelectroelastic problem of an internal crack normal to the edge of a functionally graded piezoelectric/piezomagnetic half plane. The properties of the material such as elastic modulus, piezoelectric constant, dielectric constant, piezomagnetic coefficient, magnetoelectric coefficient and magnetic permeability are assumed in exponential forms and vary along the crack direction. Fourier transforms are used to reduce the impermeable and permeable crack problems to a system of singular integral equations, which is solved numerically by using the Gauss-Chebyshev integration technique. The stress, electric displacement and magnetic induction intensity factors at the crack tips are determined numerically. The energy density theory is applied to study the effects of nonhomogeneous material parameter β, edge conditions, location of the crack and load ratios on the fracture behavior of the internal crack.

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Authors and Affiliations

  1. Department of Mechanical Engineering, National Cheng Kung University, No. 1, Dasyue Road, 70101, Tainan, Taiwan

    Ching-Hwei Chue & Wei-Hung Hsu

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  1. Ching-Hwei Chue
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  2. Wei-Hung Hsu
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Correspondence to Ching-Hwei Chue.

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Chue, CH., Hsu, WH. Antiplane internal crack normal to the edge of a functionally graded piezoelectric/piezomagnetic half plane. Meccanica 43, 307–325 (2008). https://doi.org/10.1007/s11012-007-9096-0

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  • DOI: https://doi.org/10.1007/s11012-007-9096-0

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