Abstract
Progressive fracturing in transient dynamic problems is considered, where it is assumed that microcracking is initiated upon the violation of a failure criterion and is further governed by the strain softening process. Strain-rate dependency of materials subjected to an impulsive loading is accounted for by the addition of viscous effects in a continuum description. The Perzyna viscoplastic material law is modified to ensure the well-posedness of the initial value problem at all times and to achieve a gradual reduction of the rate-dependent material strength after the rate-independent load carrying capacity vanishes. The occurrence of strain softening in the continuum leads to localization of deformation, and further propagation of these localized zones of intense deformation results in the development of fully opened cracks and ultimately in a structural discontinuity. A finite element removal technique is considered for modelling the final separation of the continuum. Two representative numerical examples are given.
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