Unstable growth of tension cracks in brittle solids: Stable and unstable bifurcations, snap-through, and imperfection sensitivity

S. Nemat-Nasser*, Y. Sum, L. M. Keer

*Corresponding author for this work

Research output: Contribution to journalArticle

63 Scopus citations

Abstract

The growth pattern of a system of tension cracks in a linearly elastic brittle solid, may undergo abrupt changes, e.g. some cracks may stop or actually close, as others snap to finitely longer lengths. For the growth regime of a system of straight edge cracks in plane strain, the concepts of fundamental equilibrium path, stable and unstable bifurcation points and snap-through critical point are introduced and the corresponding behaviors are studied. In particular, it is shown that instabilities of this kind are highly imperfection-sensitive in the sense that, for example, a small material inhomogeneity can decrease by a large amount the critical value of the load parameter at which a growth regime abruptly changes to a new one. For thermally induced tension edge cracks in an infinite strip of finite width, numerical results are presented and various aspects of the theory are illustrated. For the calculation the new combined analytic and finite-element solution method recently given by the authors is employed.

Original languageEnglish (US)
Pages (from-to)1017-1035
Number of pages19
JournalInternational Journal of Solids and Structures
Volume16
Issue number11
DOIs
StatePublished - 1980

ASJC Scopus subject areas

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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