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Dynamic behavior of two parallel symmetry cracks in magneto-electro-elastic composites under harmonic anti-plane waves

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Abstract

The dynamic behavior of two parallel symmetry cracks in magneto-electroelastic composites under harmonic anti-plane shear waves is studied by Schmidt method. By using the Fourier transform, the problem can be solved with a pair of dual integral equations in which the unknown variable is the jumps of the displacements across the crack surfaces. To solve the dual integral equations, the jumps of the displacements across the crack surface were expanded in a series of Jacobi polynomials. The relations among the electric filed, the magnetic flux and the stress field were obtained. From the results, it can be obtained that the singular stresses in piezoelectric/piezom agnetic materials carry the same forms as those in a general elastic material for the dynamic anti-plane shear fracture problem. The shielding effect of two parallel cracks was also discussed.

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Authors and Affiliations

  1. Center for Composite Materials, Harbin Institute of Technology, Harbin, 150001, P. R. China

    Zhou Zhen-gong Doctor  (周振功)

  2. School of Physics and Engineering, Sun Yat-Sen University, Guangzhou, 510275, P. R. China

    Wang Biao  (王彪)

Authors
  1. Zhou Zhen-gong Doctor  (周振功)
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  2. Wang Biao  (王彪)
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Correspondence to Zhou Zhen-gong Doctor  (周振功).

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Contributed by WANG Biao

Project supported by the National Natural Science Foundation of China (Nos.50232030, 10172030, 10572043); the Natural Science Foundation for Distinguished Young Scholars of Heilongjiang Province (No. JC04-08) and the Natural Science Foundation of Heilongjiang Province (No.A0301)

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Zhou, Zg., Wang, B. Dynamic behavior of two parallel symmetry cracks in magneto-electro-elastic composites under harmonic anti-plane waves. Appl Math Mech 27, 583–591 (2006). https://doi.org/10.1007/s10483-006-0503-y

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  • DOI: https://doi.org/10.1007/s10483-006-0503-y

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2000 Mathematics Subject Classification

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