Theoretical development of the method of caustics for intersonically propagating interfacial crack

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Abstract

In this paper, a theory of caustics for an intersonically propagating interfacial crack is developed. Using the first invariant of stress singular field in the vicinity of the intersonically propagating tip of an interface crack, mapping equations are derived for the caustic curve on the reference plane as well as the initial curve on the specimen plane. The effect of the crack velocity on the caustic pattern is investigated. Two ractically measurable characteristic dimensions are proposed. Using these characteristic dimensions, a simple procedure is also proposed for the evaluation of the stress singularity factor for the intersonically propagating interfacial crack.

Original languageEnglish
Pages (from-to)643-655
Number of pages13
JournalEngineering Fracture Mechanics
Volume70
Issue number5
DOIs
StatePublished - Mar 2002
Externally publishedYes

Keywords

  • Caustics
  • Dynamic fracture
  • Interface crack
  • Intersonic propagation

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