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Two-scale method for shear bands: thermal effects and variable bandwidth. (English) Zbl 1194.74355
Summary: A method for the analysis of shear bands using local partition of unity is developed in the framework of the extended finite element method. Enrichments are introduced for both the displacement field and the thermal field. The shear band width is determined by minimizing the plastic work. A coupled finite strain thermo-elastoplastic constitutive law is used. The enrichment is injected into the mesh when the material law becomes unstable. The criterion based on a complete stability analysis for materials in the finite strain regime including heat conduction, strain hardening, strain rate hardening and thermal softening is presented. A mixed continuous quadrilateral element is employed. The method is applied to the Nesterenko experiments, which exhibit multiple propagating shear bands and other problems.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74R99 Fracture and damage
74F05 Thermal effects in solid mechanics
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