Extracting edge flux intensity functions along part-elliptical 3-D cracks by the quasidual function method

Yaron Schapira, Zohar Yosibash

Research output: Contribution to journalArticlepeer-review

Abstract

Part-elliptical crack fronts are common in real life, especially at free surfaces and at fastener holes. For such cases we herein extend the quasidual function method (QDFM) presented in Schapira and Yosibash (2019) to allow the extraction of edge flux intensity functions (EFIFs) from finite element solutions. We consider the Laplace operator, which provides a convenient framework for the extension of the QDFM to the elasticity operator. The QDFM post-processes the FE solution away from the singular edge. Numerical examples demonstrating the efficiency and accuracy of the proposed method are given for semi-elliptical and quarter-elliptical cracks.

Original languageEnglish
Article number106815
JournalEngineering Fracture Mechanics
Volume226
DOIs
StatePublished - 1 Mar 2020

Keywords

  • 3-D singularities
  • Flux intensity functions
  • Part-elliptical crack
  • Quarter-elliptical crack
  • Semi-elliptical crack

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