Crack propagation generated by a horizontally polarized shear wave

Jan Drewes Achenbach*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

A plane horizontally-polarized shear wave propagates into an undisturbed brittle elastic material containing a void. This paper inquires into the conditions for initiation of crack propagation at an instantaneous velocity upon diffraction of the wave by the void. The investigation consists of two parts. In the first, the particle velocity and the shear stresses are determined for diffraction of a transient wave of arbitrary shape by a wedge-shaped void which produces a running crack at the instant the wave front strikes the tip of the wedge. In the second, the balance of rate-of-energy is employed to determine that shape of the incident pulse which is consistent with crack propagation at an instantaneous velocity. It is shown that near the wave front the incident displacement wave must be of the form of a square root of the general argument t-ax-by. For this particular type of incident wave, the instantaneous velocity of crack propagation is computed as a function of the angle of incidence, the "amplitude" of the incident wave, and of the material parameters.

Original languageEnglish (US)
Pages (from-to)245-259
Number of pages15
JournalJournal of the Mechanics and Physics of Solids
Volume18
Issue number4
DOIs
StatePublished - Jan 1 1970

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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