On gradient-enhanced damage and plasticity models for failure in quasi-brittle and frictional materials. (English) Zbl 0840.73047

Summary: Gradient-enhanced damage and plasticity approaches are reviewed with regard to their ability to model localization phenomena in quasi-brittle and frictional materials. Emphasis is put on the algorithmic aspects. For the purpose of carrying out large-scale finite element simulations, efficient numerical treatments are outlined for gradient-enhanced damage and gradient-enhanced plasticity models. For the latter class of models a full dispersion analysis is presented. In this analysis, the fundamental role of dispersion in setting the width of localization bands is highlighted.


74R99 Fracture and damage
74S05 Finite element methods applied to problems in solid mechanics
74-02 Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids
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