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Applied Mathematics and Mechanics

, Volume 36, Issue 6, pp 777–792 | Cite as

Analytical solution of multiple moving cracks in functionally graded piezoelectric strip

  • R. Bagheri
  • M. AyatollahiEmail author
  • S. M. Mousavi
Article

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.

Key words

functionally graded piezoelectric dislocation density moving crack strip 

Chinese Library Classification

O346 

2010 Mathematics Subject Classification

74A45 45E05 

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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Faculty of EngineeringUniversity of ZanjanZanjanIran
  2. 2.Department of Civil and Structural EngineeringAalto UniversityAaltoFinland

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