Buckling of cracked functionally graded plates supported by Pasternak foundation

Danial Panahandeh-Shahraki, Ahmad Amiri Rad

Research output: Contribution to journalArticleAcademicpeer-review

13 Citations (Scopus)


Buckling of cracked functionally graded plates resting on Pasternak foundation under tension has been studied. Classical plate theory in framework of the finite element method has been used. Shape functions for elements surrounding crack tips have been derived using previous solutions of displacement fields around crack tips. In-plane loads have been obtained by a pre-buckling solution using quarter-point elements around crack tips. Results show that an increase of foundation stiffness, leads to greater values of buckling loads. For longer cracks the effect of foundation stiffness on buckling load diminishes. For bi-axial loading such stiffness has less effect on buckling compared to uni-axial case.

Original languageEnglish
Pages (from-to)221-231
Number of pages11
JournalInternational Journal of Mechanical Sciences
Publication statusPublished - Nov 2014
Externally publishedYes


  • Buckling
  • Crack
  • Finite element method
  • Fracture mechanics
  • Functionally graded plates
  • Pasternak foundation


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