Abstract
This paper deals with the phenomenon of strain localization in nonlinear and nonlocal material models. Particularly, in the description of the material not only nonlinear constitutive relations (damage, plasticity) are included, but also geometrical nonlinearities (large strains) are taken into account. The strain localization in the analysed model has a twofold source: geometrical effects (necking) and softening due to damage of the material. To avoid pathological mesh sensitivity of numerical test results the gradient averaging is applied in the damage model. The material description is implemented within the finite element method and numerical simulations are performed for a uniaxial tensile bar benchmark. Selected results are presented for the standard and regularized continuum.