Łodygowski, T.; Perzyna, P.; Lengnick, M.; Stein, Erwin Viscoplastic numerical analysis of dynamic plastic strain localization for a ductile material. (English) Zbl 0822.73029 Arch. Mech. 46, No. 4, 541-557 (1994). Summary: The theory of viscoplasticity is used to describe the plastic strain localization in a ductile material under dynamic loading, and serves as a tool for regularization of initial-boundary value problem. The method of numerical integration of the constitutive equations is proposed and implemented into ABAQUS environment. During the presentation of the numerical results the problem of mesh dependence is discussed. Using a well-posed mathematical formulation one can avoid the so-called primary mesh dependence which is defined in the paper. Cited in 3 Documents MSC: 74C10 Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) 74S05 Finite element methods applied to problems in solid mechanics Keywords:dynamic loading; regularization; initial-boundary value problem; method of numerical integration; ABAQUS; mesh dependence Software:ABAQUS PDFBibTeX XMLCite \textit{T. Łodygowski} et al., Arch. Mech. 46, No. 4, 541--557 (1994; Zbl 0822.73029)