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Damage of nonlinearly elastic materials at small strain – existence and regularity results. (English) Zbl 1191.35159
The paper deals with the damage problem within its energetic formulation. The existence of an energetic solution for the damage problem is established. Then the continuity with respect to time is investigated for the energetic solution. Examples of energy densities related to convex properties which are relevant here are also discussed. The paper extends previous works.

MSC:
35K85 Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators
74C15 Large-strain, rate-independent theories of plasticity (including nonlinear plasticity)
74R20 Anelastic fracture and damage
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