Coarsening of cracks in a uniaxially strained solid.
We discuss the stress relaxation in a uniaxially strained solid due to the coarsening of a system of parallel cracks. We emphasize similarities and differences of this process to Ostwald ripening in a first order phase transition. A conventional mean-field approximation breaks down and several independent length scales have to be taken into account. Strong elastic interactions between the cracks determine the growth behavior. We derive scaling laws for the coarsening of the different length scales involved and the time evolution of stress relaxation, finally leading to the equilibrium state of a fractured body. The characteristic size of the cracks grows linearly in time which is much faster than in usual Ostwald ripening.
Brener
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EA
Institut für Festkörperforschung, Forschungszentrum Jülich, D-52425 Jülich, Germany.
Müller-Krumbhaar
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H
Spatschek
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R