Geometrically Induced stress singularities of a thick FGM plate based on the third-order Shear Deformation Theory

Chiung-Shiann Huang, M. J. Chang

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

Asymptotic solutions for a functionally graded material (FGM) plate are developed to elucidate stress singularities at a plate corner, using a third-order shear deformation theory. The characteristic equations are given explicitly for determining the order of stress singularity at the vertex of a corner with two radial edges having various boundary conditions. The non-homogeneous elasticity properties are present only in the characteristic equations for a corner with one of its two edges simply supported. The effects of material non-homogeneity on the stress singularities are extensively examined. The present results are very useful for developing accurate numerical solutions for an FGM plate under static or dynamic loading when the plate involves stress singularities, such as a V-notch or crack.

Original languageEnglish
Pages (from-to)83-97
Number of pages15
JournalMechanics of Advanced Materials and Structures
Volume16
Issue number2
DOIs
StatePublished - 1 Feb 2009

Keywords

  • Asymptotic solutions
  • Eigenfunction expansion
  • FGM plates
  • Stress singularities
  • Third-order shear deformation theory

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