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Numerical simulations of dynamic crack growth along an interface

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Abstract

Dynamic crack growth is analyzed numerically for a plane strain bimaterial block with an initial central crack. The material on each side of the bond line is characterized by an isotropic hyperelastic constitutive relation. A cohesive surface constitutive relation is also specified that relates the tractions and displacement jumps across the bond line and that allows for the creation of new free surface. The resistance to crack initiation and the crack speed history are predicted without invoking any ad hoc failure criterion. Full finite strain transient analyses are carried out, with two types of loading considered; tensile loading on one side of the specimen and crack face loading. The crack speed history and the evolution of the crack tip stress state are investigated for parameters characterizing a PMMA/Al bimaterial. Additionally, the separate effects of elastic modulus mismatch and elastic wave speed mismatch on interface crack growth are explored for various PMMA-artificial material combinations. The mode mixity of the near tip fields is found to increase with increasing crack speed and in some cases large scale contact occurs in the vicinity of the crack tip. Crack speeds that exceed the smaller of the two Rayleigh wave speeds are also found.

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Authors and Affiliations

  1. Materials Department, College of Engineering, University of California, 93106, Santa Barbara, CA, USA

    X.-P. Xu

  2. Division of Engineering, Brown University, 02912, Providence, Rhode Island, USA

    A. Needleman

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  1. X.-P. Xu
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  2. A. Needleman
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Xu, XP., Needleman, A. Numerical simulations of dynamic crack growth along an interface. Int J Fract 74, 289–324 (1996). https://doi.org/10.1007/BF00035845

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  • DOI: https://doi.org/10.1007/BF00035845

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