On crack propagation shapes in elastic bodies
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We consider a two dimensional elastic isotropic body with a curvilinear crack. The formula for the derivative of the energy functional with respect to the crack length is discussed. It is proved that this derivative is independent of the crack path provided that we consider quite smooth crack propagation shapes. An estimate for the derivative of the energy functional being uniform with respect to the crack propagation shape is derived.
Mathematics Subject Classification (2000):35J55 74B05 74R99
Keywords.Griffith kriterion crack propagation shape dependence linear elasticity fracture mechanics
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