A boundary integral method for a dynamic, transient mode I crack problem with viscoelastic cohesive zone

Tanya L. Leise, Jay R. Walton, Yuliya Gorb

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We consider the problem of the dynamic, transient propagation of a semi-infinite, mode I crack in an infinite elastic body with a nonlinear, viscoelastic cohesize zone. Our problem formulation includes boundary conditions that preclude crack face interpenetration, in contrast to the usual mode I boundary conditions that assume all unloaded crack faces are stress-free. The nonlinear viscoelastic cohesive zone behavior is motivated by dynamic fracture in brittle polymers in which crack propagation is preceeded by significant crazing in a thin region surrounding the crack tip. We present a combined analytical/numerical solution method that involves reducing the problem to a Dirichlet-to-Neumann map along the crack face plane, resulting in a differo-integral equation relating the displacement and stress along the crack faces and within the cohesive zone. © 2009 Springer Science+Business Media B.V.
Original languageEnglish (US)
Pages (from-to)69-76
Number of pages8
JournalInternational Journal of Fracture
Volume162
Issue number1-2
DOIs
StatePublished - Aug 19 2009
Externally publishedYes

Fingerprint Dive into the research topics of 'A boundary integral method for a dynamic, transient mode I crack problem with viscoelastic cohesive zone'. Together they form a unique fingerprint.

Cite this