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Crack tip plasticity in dynamic fracture
Affiliation:1. Laboratoire de Mécanique des solides, École Polytechnique, Route de Saclay, Palaiseau 91120, France;2. IMSIA (UMR EDF-CNRS-CEA-ENSTA ParisTech 9219), Université Paris-Saclay, Palaiseau 91120, France;3. Department of Mathematics and Center for Computation & Technology, Louisiana State University, Baton Rouge, LA 70803, USA;4. Sorbonne Universités, UPMC Univ Paris 06, CNRS, UMR 7190, Institut Jean Le Rond d’Alembert, Paris F-75005, France;1. Department of Mechanical Engineering, Solid Mechanics, Technical University of Denmark, DK-2800, Lyngby, Denmark;2. School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA
Abstract:The mechanics of crack tip plasticity in dynamic crack growth is considered as it influences two modes of dynamic fracture—cleavage and micro-void nucleation, growth and coalescence. The subject is approached using both the continuum theory of visco-plasticity and dislocation dynamics. The viewpoint underlying each approach is that the crack is traveling through material with a relatively high density of pre-existing mobile dislocations. Analysis is directed at discovering the role played by the associated rate-dependent plasticity in establishing conditions for dynamic crack propagation. The theory is far from complete, but the contents of the paper should serve to aid understanding of basic material fracture phenomena, such as cleavability and the ductile-brittle transition, as well as provide a background for the engineering theory of dynamic fracture.
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