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Robust optimization scheme for inverse method for crystal plasticity model parametrization
Blekinge Institute of Technology, Faculty of Engineering, Department of Mechanical Engineering.
Ruhr-Universität Bochum, DEU.
Ruhr-Universität Bochum, DEU.
2020 (English)In: Materials, ISSN 1996-1944, E-ISSN 1996-1944, Vol. 13, no 3, article id 735Article in journal (Refereed) Published
Abstract [en]

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. © 2020 by the authors.

Place, publisher, year, edition, pages
MDPI AG , 2020. Vol. 13, no 3, article id 735
Keywords [en]
BCC material, Geometry necessary dislocation, Inverse analysis, Nanoindentation test, Nonlocal crystal plasticity, Trust-region-reflective algorithm, Crystals, Nanoindentation, Numerical models, Optimization, Plasticity, Sensitivity analysis, Crystal plasticity, Crystal plasticity models, Discrepancy functions, Load-displacement curve, Nanoindentation tests, Robust optimization algorithm, Trust region, Inverse problems
National Category
Applied Mechanics
Identifiers
URN: urn:nbn:se:bth-19273DOI: 10.3390/ma13030735ISI: 000515503100242Scopus ID: 2-s2.0-85079660273OAI: oai:DiVA.org:bth-19273DiVA, id: diva2:1412231
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open access

Available from: 2020-03-05 Created: 2020-03-05 Last updated: 2020-04-30Bibliographically approved

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Shahmardani, Mahdieh

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