ENERGETIC SOLUTIONS OF A GRADIENT DAMAGE MODEL WITH STATE DEPENDENT DISSIPATION

LUEGE, MARIELA; ORLANDO, ANTONIO

Congreso; MECOM 2018- XII Congreso Arg. de Mecánica Computacional; 2018

The energetic formulation provides a general framework for the modelling, analysis and numerical simulation of rate-independent processes which experience discontinuities in time and in space, and strain concentrations. This work presents the energetic formulation of a rate independent gradient damage model with state dependent dissipation and proposes a consistent computational scheme for its numerical solution. The energetic formulation defines the system evolution as a result of two energetic principles: the global stability condition and the energetic balance between dissipated and potential energies together with the power of external forces. Introducing first the minimization of the incremental problem, a discrete version of the stability condition is derived and energetic bounds established. Such estimates are fundamental for the design of the numerical strategy.