TY - JOUR
T1 - A boundary integral method for a dynamic, transient mode I crack problem with viscoelastic cohesive zone
AU - Leise, Tanya L.
AU - Walton, Jay R.
AU - Gorb, Yuliya
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUS-C1-016-04
Acknowledgements: This 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).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.
PY - 2009/8/19
Y1 - 2009/8/19
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/597223
UR - http://link.springer.com/10.1007/s10704-009-9385-9
UR - http://www.scopus.com/inward/record.url?scp=77953809549&partnerID=8YFLogxK
U2 - 10.1007/s10704-009-9385-9
DO - 10.1007/s10704-009-9385-9
M3 - Article
SN - 0376-9429
VL - 162
SP - 69
EP - 76
JO - International Journal of Fracture
JF - International Journal of Fracture
IS - 1-2
ER -