Robust Optimization Scheme for Inverse Method for Crystal Plasticity Model Parametrization

• Published in: Materials Vol. 13; no. 3; p. 735
• Main Authors: Shahmardani, Mahdieh, Vajragupta, Napat, Hartmaier, Alexander
• Format: Journal Article
• Language: English
• Published: Switzerland MDPI AG 06-02-2020; MDPI
• Subjects: Algorithms; Approximation; BCC material; Crystal plasticity; Crystal plasticity models; Crystals; Discrepancy functions; Displacement; Finite element analysis; Geometry necessary dislocation; Inverse analysis; Inverse method; Inverse problems; Load-displacement curve; Material properties; Mathematical models; Mechanical properties; Nanoindentation; Nanoindentation test; Nanoindentation tests; Nonlocal crystal plasticity; Numerical models; Optimization; Optimization techniques; Parameter robustness; Parameter sensitivity; Parameterization; Plastic properties; Plasticity; Robust optimization algorithm; Robustness (mathematics); Sensitivity analysis; Simulation; Single crystals; Topology; Trust region; Trust-region-reflective algorithm; geometry necessary dislocation; nonlocal crystal plasticity; inverse analysis; BCC material; nanoindentation test; trust-region-reflective algorithm
• ISSN: 1996-1944; 1996-1944
• DOI: 10.3390/ma13030735

A bottom-up material modeling based on a nonlocal crystal plasticity model requires information of a large set of physical and phenomenological parameters. Because of the many material parameters, it is inherently difficult to determine the nonlocal crystal plasticity parameters. Therefore, a robust method is proposed to parameterize the nonlocal crystal plasticity model of a body-centered cubic (BCC) material by combining a nanoindentation test and inverse analysis. Nanoindentation tests returned the load-displacement curve and surface imprint of the considered sample. The inverse analysis is developed based on trust-region-reflective algorithm, which is the most robust optimization algorithm for the considered non-convex problem. The discrepancy function is defined to minimize both the load-displacement curves and the surface topologies of the considered material under applying varied indentation forces obtained from numerical models and experimental output. The numerical model results based on the identified material properties show good agreement with the experimental output. Finally, a sensitivity analysis performed changing the nonlocal crystal plasticity parameters in a predefined range emphasized that the geometrical factor has the most significant influence on the load-displacement curve and surface imprint parameters.