WIAS Preprint No. 1020, (2005)

Rate-independent damage processes in nonlinear elasticity


  • Mielke, Alexander
    ORCID: 0000-0002-4583-3888
  • Roubíček, Tomáš
    ORCID: 0000-0002-0651-5959

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.

Appeared in

  • Math. Models Methods Appl. Sci., 16 (2006) pp. 177--209.

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