A boundary integral method for a dynamic, transient mode I crack problem with viscoelastic cohesive zone
KAUST Grant NumberKUS-C1-016-04
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AbstractWe 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.
CitationLeise TL, Walton JR, Gorb Y (2009) A boundary integral method for a dynamic, transient mode I crack problem with viscoelastic cohesive zone. International Journal of Fracture 162: 69–76. Available: http://dx.doi.org/10.1007/s10704-009-9385-9.
SponsorsThis work was supported in part by the Army ResearchLaboratory under contract number W911NF-04-2-00-11 and inpart by award number KUS-C1-016-04 made by King AbdullahUniversity of Science and Technology (KAUST).