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 different tangent operator formulations and compares their convergency behavior in a numerical example.
Original language | English |
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Article number | 111149 |
Number of pages | 14 |
Journal | International Journal of Solids and Structures |
Volume | 232 |
DOIs | |
Publication status | Published - 2021 |
Keywords
- Complex step derivative approximation
- Consistent tangent formulation
- Crystal plasticity
- Infeasible primal dual interior point method
- Nonlinear optimization with constraints
- Numerical Differentiation