Résumé
To analyze the formation of multiple shear bands in HY100 steel, we consider an infinitely extended layer of finite thickness subjected to shear loading. The perturbation approach, associated with numerical methods, is used to determine the instability modes. The criteria of Wright-Ockendon and Molinari are used to determine the shear band spacing. The effect of each material parameter on the shear band spacing is determined by using a power law constitutive relation. The Johnson Cook model is used to illustrate the influence of the constitutive relation on the results of the adiabatic shear band spacing, by studying the response of HY100 and comparing with available experimental and power law results over a very wide range of strain rates . In this study, we show that the variation of the Taylor-Quinney parameter, as a function of shear strain is an important parameter that plays a significant role in the calculation of the shear band spacing.