A numerical solution technique for a class of integro-differential equations in elastodynamic crack propagation problems

Francesco Costanzo, Jay R. Walton

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

A strategy for the numerical solution of a type of integro-differential equation arising from the analysis of dynamic crack propagation problems is presented. Specifically, the problem of interest is that of a mode III crack dynamically propagating in a homogeneous linear elastic medium while the crack tip consists of a nonlinear rate dependent cohesive (or failure) zone. The mode of propagation is general, that is, not restricted to steady state or other special regimes. Furthermore, the presented solution technique is in no way restricted to mode III problems.

Original languageEnglish (US)
Pages (from-to)19-48
Number of pages30
JournalComputer Methods in Applied Mechanics and Engineering
Volume162
Issue number1-4
DOIs
StatePublished - Aug 25 1998

Fingerprint

elastodynamics
Integrodifferential equations
crack propagation
Crack tips
Crack propagation
differential equations
Cracks
elastic media
crack tips
cracks
propagation

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

Cite this

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AB - A strategy for the numerical solution of a type of integro-differential equation arising from the analysis of dynamic crack propagation problems is presented. Specifically, the problem of interest is that of a mode III crack dynamically propagating in a homogeneous linear elastic medium while the crack tip consists of a nonlinear rate dependent cohesive (or failure) zone. The mode of propagation is general, that is, not restricted to steady state or other special regimes. Furthermore, the presented solution technique is in no way restricted to mode III problems.

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