Stress analysis of a functionally graded magneto-electro-elastic strip with multiple moving cracks

R. Bagheri, M. Ayatollahi*, Mahmoud Mousavi

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

22 Citations (Scopus)


This paper investigates the linear steady state problem of several moving cracks in a functionally graded magneto-electro-elastic strip subjected to anti-plane mechanical and in-plane electric and magnetic loading. For simplicity, it is assumed that the properties of the strip vary continuously according to exponential functions along the thickness of the functionally graded piezoelectric piezomagnetic (FGPP) layer. By combining the dislocation method and integral transform technique, an exact solution in closed form to this problem is obtained. Electro-magneto-mechanical loads are applied on the crack surfaces, which are assumed to be magneto-electrically impermeable. Numerical examples are presented to show the interesting mechanical and electromagnetic coupling phenomena induced by multi-crack interactions. Finally, the effects of crack velocity, material constants, and geometric parameters upon the field intensity factors are studied. The results are useful for the design of the magneto-electro-elastic structures.

Original languageEnglish
Pages (from-to)304-323
Number of pages20
Issue number3
Publication statusPublished - 1 Mar 2017
MoE publication typeA1 Journal article-refereed


  • Functionally graded strip
  • magneto-electro-elastic material
  • moving crack
  • screw dislocation


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