Rate-independent damage processes in nonlinear elasticity
- Mielke, Alexander
- Roubíček, Tomáš
2010 Mathematics Subject Classification
- 35K85 49S05 74C15 74R20
- Inelastic damage, large deformations, unilateral contact, variational inequality, energetic formulation.
Damage of an elastic body undergoing large deformations by a ``hard-device'' loading possibly combined with an impact (modelled by a unilateral frictionless contact) of another, ideally rigid body is formulated as an activated, rate-independent process. The damage is assumed to absorb a specific and prescribed amount of energy. A solution is defined by energetic principles of stability and balance of stored and dissipated energies with the work of external loading, realized here through displacement on a part of the boundary. Rigorous analysis by time discretization is performed.
- Math. Models Methods Appl. Sci., 16 (2006) pp. 177--209.