Abstract
We consider generalized gradient systems with rate-independent and rate-dependent dissipation potentials. We provide a general framework for performing a vanishing-viscosity limit leading to the notion of parametrized and true Balanced-Viscosity solutions that include a precise description of the jump behavior developing in this limit. Distinguishing an elastic variable u having a viscous damping with relaxation time varepsilon ^alpha and an internal variable z with relaxation time varepsilon we obtain different limits for the three cases alpha in (0,1), alpha =1 and alpha >1. An application to a delamination problem shows that the theory is general enough to treat nontrivial models in continuum mechanics.
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