Remarks on a primal‐dual interior point algorithm for single crystal plasticity

Abstract

In the field of single crystal plasticity, different algorithms exist for the solution of the constitutive equations. They can be grouped into rate independent and rate dependent approaches, where both classes are governed by inherent shortcomings, as discussed in, e.g., [3]. This contribution outlines an algorithmic formulation for single crystal plasticity at small strains for the rate independent case relying on an infeasible primal‐dual interior point method, which has been presented in [5]. It is able to bypass several issues known in rate independent algorithms. Besides a brief overview of the continuum mechanical and algorithmic framework, aspects on different formulations related to the Karush‐Kuhn‐Tucker (KKT) conditions are discussed.