Extracting edge flux intensity functions along an elliptical 3-D singular edge by the quasidual function method

Yaron Schapira, Zohar Yosibash

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Elliptical cracks are common in practice, as most cracks tend to propagate along semi-elliptical fronts. Herein we extend the quasidual function method (QDFM) for the computation of edge flux intensity functions (EFIFs) along elliptical cracks and generalized EFIFs along elliptical V-notches in 3-D domains. This QDFM is used to extract EFIFs from finite element solutions away from the singular edge and are given by a functional representation along the edge and not point-wise. The mathematical analysis of the QDFM is provided, followed by numerical examples demonstrating its efficiency and accuracy. Here we consider the Laplace operator, which provides a convenient framework for the extension of the QDFM for the elasticity operator.

Original languageEnglish
Article number106812
JournalEngineering Fracture Mechanics
Volume228
DOIs
StatePublished - 1 Apr 2020

Keywords

  • 3-D singularities
  • Elliptical crack
  • flux intensity functions

ASJC Scopus subject areas

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

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