NEAR TIP FIELDS IN A CRACKED PLATE ACCORDING TO DEFORMATION THEORY.

J. D. Achenbach*, T. Bubenik

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

Abstract

In this paper deformation theory is applied to a thin plate containing a through-crack. The in-plane normal stresses are assumed to be tensile, but with a nonuniform variation through the thickness of the plate, as a result of bending and a dominant extension. The nonlinear near-tip fields (which are singular) have been analyzed asymptotically on the basis of plate theory. Assuming small-scale yielding a path-independent integral, which is valid in a region close to the crack edge, is used to connect the nonlinear near-tip fields with the corresponding singular parts of the linear fields. It is shown that the nonlinear behavior near the crack edge significantly affects the through-the-thickness variations of the near-tip fields.

Original languageEnglish (US)
Pages (from-to)67-79
Number of pages13
JournalAdvances in Colloid and Interface Science
DOIs
StatePublished - 1979
EventProc of an Int Conf on Fract Mech in Eng Appl, Natl Aeronaut Lab - Bangalore, India
Duration: Mar 26 1979Mar 30 1979

ASJC Scopus subject areas

  • Surfaces and Interfaces
  • Physical and Theoretical Chemistry
  • Colloid and Surface Chemistry

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