WIAS Preprint No. 1020, (2005)
Rate-independent damage processes in nonlinear elasticity
Authors
- Mielke, Alexander
ORCID: 0000-0002-4583-3888 - Roubíček, Tomáš
ORCID: 0000-0002-0651-5959
2010 Mathematics Subject Classification
- 35K85 49S05 74C15 74R20
Keywords
- Inelastic damage, large deformations, unilateral contact, variational inequality, energetic formulation.
DOI
Abstract
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.
Appeared in
- Math. Models Methods Appl. Sci., 16 (2006) pp. 177--209.
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