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Finite element simulation of dynamic strain-localization: A multi-scale problem. (English) Zbl 0852.73066

A finite element procedure for the post-localization analysis of elasto-plastic solids is developed. To ensure unique solutions, the Duvaut-Lions visco-plastic regularization procedure is implemented. A bifurcation analysis of the underlying backbone elasto-plastic material is performed to locate the shear band and to define its orientation. The width of the shear band is assumed to be much smaller than the characteristic element size. A Petrov-Galerkin type procedure to account for the narrow width of the patch is implemented. The results indicate formation of mesh and patch invariant shear bands. Finally, the effects of varying material parameters are studied.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74C99 Plastic materials, materials of stress-rate and internal-variable type
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