LAUSR

In this paper we revisit the elasto-viscoplastic, strain-softening, strain-rate hardening, model as a means to avoid strain localization on a mathematical plane in the case of a Cauchy continuum. In contrast to the work of previous researchers de Borst and Duretz (2020); Needleman (1988); Sluys and de Borst (1992); Wang et al. (1997), we assume that both the frequency ω and the wave number k belong to the complex plane, therefore a different expression for the dispersion relation is derived. We prove then that under these conditions strain localization on a mathematical plane is possible. The above theoretical results are corroborated by numerical analyses, where the total strain and plastic strain profiles exhibit mesh dependent behavior.