The role of deviatoric and volumetric non-associativities on strain localization (Q1327574)

Summary: A homogeneous solid subject to quasi-static loading in the small strain range is considered. The material model assumed is rate-independent, non- associative and incrementally bilinear. The strain localization conditions are analytically solved using a geometric method. The expressions of the critical hardening moduli, their domains of validity and the form of the strain rate discontinuity are obtained. Finally these results, and in particular the role of hydrostatic and deviatoric non- normality, are discussed with reference to an elastic-plastic model for rock-like materials.