Asymptotic analysis of the potential energy difference because of a crack at a V-notch edge in a 3D domain

Brigit Mittelman, Zohar Yosibash

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

The difference in the potential energy in an elastic three-dimensional domain with a V-notch with and without a small crack (δΠ) under a general mixed mode I. +. II. +. III loading is provided as an asymptotic series. It involves the V-notch edge stress intensity functions, the area of the formed crack, and special geometrical functions that can be pre-computed and tabulated. Importantly, the stress intensity functions along the crack front and the solution for the V-notched domain with the presence of the crack are un-necessary. The analytical formulation is verified by finite element methods, demonstrating the accuracy of the obtained expressions.

Original languageEnglish
Pages (from-to)131-136
Number of pages6
JournalEngineering Fracture Mechanics
Volume131
DOIs
StatePublished - 9 Aug 2014

Keywords

  • 3D singularities
  • Edge stress intensity functions
  • Potential energy
  • V-notch

ASJC Scopus subject areas

  • General Materials Science
  • Mechanics of Materials
  • Mechanical Engineering

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