The answer is no! In https://authors.elsevier.com/a/1dux9AQEIviHm (https://doi.org/10.1016/j.cma.2021.114185) we prove mathematically and show numerically that viscoplasticity of Perzyna or consistency type in combination with inertia cannot prevent (a) strain localization on a mathematical plane and (b) mesh dependency in numerical calculations.

We show also the existence of emergent traveling plastic waves and we investigate some of their properties. These waves can be related to the Portevin–Le Chatelier effect and are also observed in numerical simulations of fault gouges under large shear. To be continued!