The T-stress along a 3-D straight crack

Yaron Schapira, Netta Omer, Zohar Yosibash

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

The T-stress in a three dimensional elastic domain containing a straight crack is considered. First the complete asymptotic expansion in the vicinity of the crack front, including the T-stress, is presented explicitly. Having obtained the asymptotic expansion, we compute the dual solution associated with the T-stress, and prove it must contain logarithmic terms. This dual solution is used to extend the quasi dual function method (QDFM) for the extraction of the T-stress from finite element solutions and express it as a function along the crack front. Since the stress field tends to infinity at the crack front whereas the T-stress remains constant, its extraction from finite element solutions, containing numerical errors, is a non-trivial task. We herein develop accurate and efficient methods for extracting the T-stress function along the crack edge by the QDFM. Numerical examples are provided for the computation of the T-stresses from conventional and high order finite element methods.

Original languageEnglish
Pages (from-to)214-241
Number of pages28
JournalEngineering Fracture Mechanics
Volume202
DOIs
StatePublished - 15 Oct 2018
Externally publishedYes

Keywords

  • FEMs
  • T-stress
  • Three-dimensions

ASJC Scopus subject areas

  • Materials Science (all)
  • Mechanics of Materials
  • Mechanical Engineering

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