Loss of specular reflection due to nonlinear crack-face interaction

J. D. Achenbach*, A. N. Norris

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

40 Scopus citations

Abstract

The interaction between rough crack faces is modeled by nonlinear relations between the crack-face tractions and the crack-opening displacements. These relations account for crack closure and for the related resistance to crack-face sliding. The relations are used to investigate reflection and transmission of an incident pulse by an infinite flaw plane. The problem statement is reduced to a set of inhomogeneous nonlinear ordinary differential equations for the displacement discontinuities, [u] and [v], across the flaw plane. These equations have been solved numerically. The reflection and transmission of an incident pulse by a crack with interacting crack faces. Both incident longitudinal and transverse waves have been considered. The loss of specular reflection as compared to a perfect (traction-free) crack is exhibited by specific examples.

Original languageEnglish (US)
Pages (from-to)229-239
Number of pages11
JournalJournal of Nondestructive Evaluation
Volume3
Issue number4
DOIs
StatePublished - Dec 1 1982

Keywords

  • Crack-opening displacement
  • Kirchoff approximation
  • NDE
  • crack closure
  • ultrasonics

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering

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