Numerical analysis of edge singularities in three-dimensional elasticity

Zohar Yosibash

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

A numerical method is described for the computation of eigenpairs which characterize the exact solution of linear elastostatic problems in three-dimensions in the vicinity of edge singularities. These may be caused by re-entrant corners, abrupt changes in boundary conditions or material properties. Such singularities are of great interest from the point of view of failure initiation: The eigenpairs characterize the straining modes and their amplitudes quantify the amount of energy residing in particular straining modes. For this reason, failure theories directly or indirectly involve the eigenpairs and their amplitudes. This paper addresses the problem of determining the edge eigenpairs numerically on the basis of the modified Steklov formulation (presented in Reference 1 in a 2-D framework) in conjunction with the p-version of the finite element method. Numerical results are presented for several cases including Isotropic as well as anisotropic multi-material interfaces.

Original languageEnglish
Pages (from-to)4611-4632
Number of pages22
JournalInternational Journal for Numerical Methods in Engineering
Volume40
Issue number24
DOIs
StatePublished - 1 Jan 1997

Keywords

  • Delamination
  • Failure/fracture analysis
  • Finite element methods
  • Multi-material interfaces
  • Singularities
  • Steklov method
  • Three-dimensional elasticity
  • p-version

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering (all)
  • Applied Mathematics

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