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    Reconsidering the boundary conditions for a dynamic, transient mode I crack problem

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    Type
    Article
    Authors
    Leise, Tanya
    Walton, Jay
    Gorb, Yuliya
    KAUST Grant Number
    KUS-C1-016-04
    Date
    2008-11-01
    Permanent link to this record
    http://hdl.handle.net/10754/599465
    
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    Abstract
    A 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.
    Citation
    Leise 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.
    Sponsors
    This 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).
    Publisher
    Mathematical Sciences Publishers
    Journal
    Journal of Mechanics of Materials and Structures
    DOI
    10.2140/jomms.2008.3.1797
    ae974a485f413a2113503eed53cd6c53
    10.2140/jomms.2008.3.1797
    Scopus Count
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