Brittle and ductile extension of a finite crack by a horizontally polarized shear wave

Jan Drewes Achenbach*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

45 Scopus citations

Abstract

An integral representation of the displacement for problems of transient propagation of horizontally polarized shear waves is employed to investigate the diffraction of a plane wave by a crack of finite length. The stress intensity factors at small times are derived for an incident wave of arbitrary shape. For a step-stress wave the maximum stress intensity factors are shown to exceed the factors of the corresponding static problem by a factor 4 π. Brittle fracture is subsequently investigated by employing a balance of rate of energy. It is shown that for a step-stress wave the critical stress for brittle fracture is reduced by a factor π 4√2 as compared to the critical stress of the corresponding static problem. Ductile fracture is studied by assuming that yielding is restricted to a narrow band in the vicinity of the crack tips. The propagation velocity of the zone of yielding is computed and the location of the point of rupture is determined.

Original languageEnglish (US)
Pages (from-to)947-966
Number of pages20
JournalInternational Journal of Engineering Science
Volume8
Issue number12
DOIs
StatePublished - Jan 1 1970

ASJC Scopus subject areas

  • Engineering(all)

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