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Numerical treatment of small strain single crystal plasticity based on the infeasible primal-dual interior point method

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Abstract 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… Click to show full abstract

Abstract 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.

Keywords: single crystal; small strain; numerical treatment; crystal plasticity

Journal Title: International Journal of Solids and Structures
Year Published: 2021

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