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Dynamic behavior of two collinear interface cracks between two dissimilar functionally graded piezoelectric/piezomagnetic material strips

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Abstract

The dynamic interaction of two collinear interface cracks between two dissimilar functionally graded piezoelectric/piezomagnetic material strips subjected to the anti-plane shear harmonic stress waves was investigated. By using the Fourier transform, the problem can be solved with the help of a pair of triple integral equations in which the unknown variable is jump of displacement across the crack surfaces. These equations are solved using the Schmidt method. Numerical examples are provided to show the effect of the functionally graded parameter, the circular frequency of the incident waves and the thickness of the strip upon stress, electric displacement and magnetic flux intensity factors of cracks.

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Authors and Affiliations

  1. Center for Composite Materials and Structures, Harbin Institute of Technology, Harbin, 150080, P. R. China

    Zhang Pei-wei  (张培伟) (Doctor) & Zhou Zhen-gong  (周振功)

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

    Wang Biao  (王彪)

Authors
  1. Zhang Pei-wei  (张培伟)
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  2. Zhou Zhen-gong  (周振功)
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  3. Wang Biao  (王彪)
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Corresponding author

Correspondence to Zhang Pei-wei  (张培伟).

Additional information

(Contributed by WANG Biao)

Project supported by the National Natural Science Foundation of China (Nos.10572043,10572155) and the Natural Science Foundation with Excellent Young Investigators of Heilongjiang Province (No.JC04-08)

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Zhang, Pw., Zhou, Zg. & Wang, B. Dynamic behavior of two collinear interface cracks between two dissimilar functionally graded piezoelectric/piezomagnetic material strips. Appl Math Mech 28, 615–625 (2007). https://doi.org/10.1007/s10483-007-0507-1

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  • DOI: https://doi.org/10.1007/s10483-007-0507-1

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Chinese Library Classification

2000 Mathematics Subject Classification

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