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Complete damage in elastic and viscoelastic media and its energetics. (English) Zbl 1227.74058
Summary: A model for the evolution of damage that allows for complete disintegration is addressed. Small strains and a linear response function are assumed. The ”flow rule” for the damage parameter is rate-independent. The stored energy involves the gradient of the damage variable, which determines an internal length-scale. Quasistatic fully rate-independent evolution is considered as well as rate-dependent evolution including viscous/inertial effects. Illustrative 2-dimensional computer simulations are presented, too.

MSC:
74R20 Anelastic fracture and damage
74B05 Classical linear elasticity
74D05 Linear constitutive equations for materials with memory
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