Reconsidering the boundary conditions for a dynamic, transient mode I crack problem
KAUST Grant NumberKUS-C1-016-04
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AbstractA careful examination of a dynamic mode I crack problem leads to the conclusion that the commonly used boundary conditions do not always hold in the case of an applied crack face loading, so that a modification is required to satisfy the equations. In particular, a transient compressive stress wave travels along the crack faces, moving outward from the loading region on the crack face. This does not occur in the quasistatic or steady state problems, and is a special feature of the transient dynamic problem that is important during the time interval immediately following the application of crack face loading. We demonstrate why the usual boundary conditions lead to a prediction of crack face interpenetration, and then examine how to modify the boundary condition for a semi-infinite crack with a cohesive zone. Numerical simulations illustrate the resulting approach.
CitationLeise T, Walton J, Gorb Y (2008) Reconsidering the boundary conditions for a dynamic, transient mode I crack problem. Journal of Mechanics of Materials and Structures 3: 1797–1807. Available: http://dx.doi.org/10.2140/jomms.2008.3.1797.
SponsorsThis work was supported in part by the Army Research Laboratory under contract number W911NF-04-2-00-11 and in part by award number KUS-C1-016-04 made by King Abdullah University of Science and Technology (KAUST).
PublisherMathematical Sciences Publishers