Discretization influence in strain-softening problems. (English) Zbl 0824.73080

Sluys, L. J.; Cauvern, M.; de Borst, R.

Eng. Comput. (Swans.) 12, No. 3, 209-228 (1995).

The dispersive behavior of waves in softening problems is analysed. Attention is focused on the influence of the numerical scheme on the dispersion characteristics in the process of localization of deformation. Distinction has been made between softening models defined in a standard plasticity framework and in a gradient-dependent plasticity theory. For a modelling with and without the inclusion of strain gradients, accuracy considerations with respect to mass discretization, finite element size, time integration scheme and time step have been carried out.

MSC:

74S99	Numerical and other methods in solid mechanics
74J99	Waves in solid mechanics
74C99	Plastic materials, materials of stress-rate and internal-variable type

Keywords:

dispersion analysis; localization of deformation; standard plasticity; gradient-dependent plasticity; strain gradients; mass discretization; finite element size; time integration scheme; time step