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Analytical solution of multiple moving cracks in functionally graded piezoelectric strip

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Abstract

The dynamic behaviors of several moving cracks in a functionally graded piezoelectric (FGP) strip subjected to anti-plane mechanical loading and in-plane electrical loading are investigated. For the first time, the distributed dislocation technique is used to construct the integral equations for FGP materials, in which the unknown variables are the dislocation densities. With the dislocation densities, the field intensity factors are determined. Moreover, the effects of the speed of the crack propagation on the field intensity factors are studied. Several examples are solved, and the numerical results for the stress intensity factor and the electric displacement intensity factor are presented graphically finally.

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Authors and Affiliations

  1. Faculty of Engineering, University of Zanjan, Zanjan, 45371-38791, Iran

    R. Bagheri & M. Ayatollahi

  2. Department of Civil and Structural Engineering, Aalto University, FI-00076, Aalto, Finland

    S. M. Mousavi

Authors
  1. R. Bagheri
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  2. M. Ayatollahi
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  3. S. M. Mousavi
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Correspondence to M. Ayatollahi.

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Bagheri, R., Ayatollahi, M. & Mousavi, S.M. Analytical solution of multiple moving cracks in functionally graded piezoelectric strip. Appl. Math. Mech.-Engl. Ed. 36, 777–792 (2015). https://doi.org/10.1007/s10483-015-1942-6

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  • DOI: https://doi.org/10.1007/s10483-015-1942-6

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

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