In this contribution, a small strain single crystal plasticity framework in the context of an infeasible primal-dual interior point method (IPDIPM) is discussed with a focus on the numerical treatment. Related to rate-independent algorithms in the field of single-crystal plasticity, the use of the IPDIPM to solve the constrained optimization problem offers the advantage that it handles the naturally arising redundancy in the slip system intrisically through a barrier term. This formulation penalizes the approach of the unfeasible domain, whereas the penalization term gradually approaches zero in the algorithm. This paper focusses on the numerical treatment and presents di erent tangent operator formulations and compares their convergency behavior in a numerical example.

在这篇文章中，讨论了不可行原始对偶内点法 (IPDIPM) 背景下的小应变单晶塑性框架，重点是数值处理。与单晶塑性领域中的速率无关算法相关，使用 IPDIPM 来解决约束优化问题提供了一个优势，即它通过势垒项从本质上处理滑移系统中自然产生的冗余。该公式惩罚了不可行域的方法，而算法中的惩罚项逐渐接近零。本文侧重于数值处理，并提出了不同的切线算子公式，并在数值示例中比较了它们的收敛行为。