Influence of the material constitutive models on the adiabatic shear band spacing: MTS, power law and Johnson–Cook models

Abstract

We propose to use the physically-based mechanical threshold stress (MTS) model for the analysis of adiabatic shear band spacing in HY-100 steel and Ti–6Al–4V alloy. Based on existing works, we use the perturbation method to determine the instability modes and their corresponding spacing. To validate our results, we compare them to those obtained using the phenomenological, and widely used, Johnson–Cook and power law models. We notice that the shear band spacing depends on the constitutive relation employed. We also compared the results from our analytical analysis to the available experimental ones. We show, for the first time, that the MTS model yields good results for adiabatic shear band spacing, particularly for the case of Ti–6Al–4V alloy.