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\(H\)-adaptive finite element analysis for localization phenomena with reference to metal powder forming. (English) Zbl 1079.74640

Summary: Standard finite element models, i.e. finite element methods that use standard constitutive models, suffer from excessive mesh dependence when strain-softening models are used in numerical analyses, and cannot reproduce the size effect commonly observed in quasi-brittle failure. In this paper, an \(h\)-adaptive analysis for the mixed finite element solution of solid mechanics problems is presented with special reference to metal powder forming involving localization due to material instability. A remeshing strategy is employed to compute the distribution of required element size using the estimated error distribution. The numerical results are obtained for a von Mises yield criterion applied to a multi-level component, at the final stage of compaction. It shows how adaptive remeshing techniques can be applied to improve the definition of the shear band, using a non-local constitutive model to avoid loss of mesh objectivity.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
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