Dynamic crack growth in a nonlocal progressively cavitating solid

A. Needleman, Viggo Tvergaard

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    Dynamic crack growth is analyzed numerically using a nonlocal constitutive formulation for a porous ductile material. The delocalization relates to the void growth and coalescence mechanism and is incorporated in terms of an integral condition on the rate of increase of the void volume fraction. The material is modeled as elastic-viscoplastic with the thermal softening due to adiabatic heating accounted for. Finite element computations are carried our for edge cracked specimens subject to tensile impact loading. Two values of the material characteristic length and two finite-element discretizations are used in most computations. The effect of the material characteristic length on the crack growth behavior and on the mesh sensitivity of the results is considered. For comparison purposes, results are also obtained For the corresponding local constitutive relation. The crack growth resistance is found to increase and the crack speed to decrease with increasing values of the material characteristic length. The crack growth predictions using the nonlocal constitutive model exhibit less mesh sensitivity than the corresponding ones based on the local constitutive relation. However, for the largest value of the material characteristic length considered a divergence between predictions based on three discretizations is found at late times. (C) Elsevier, Paris.
    Original languageEnglish
    JournalEuropean Journal of Mechanics A - Solids
    Issue number3
    Pages (from-to)421-438
    Publication statusPublished - 1998


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