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Application of the virtual fields method to the identification of the homogeneous anisotropic hardening parameters for advanced high strength steels

Application of the virtual fields method to the identification of the homogeneous anisotropic hardening parameters for advanced high strength steels
Application of the virtual fields method to the identification of the homogeneous anisotropic hardening parameters for advanced high strength steels
In the present paper, an inverse problem solution so called the virtual fields method (VFM) is implemented to identify the parameters of the homogeneous anisotropic hardening (HAH) model, a distortional plasticity-based model that describes the material plastic behavior when subjected to strain path changes. The framework of the identification method that combines the formulation of the yield condition, the constitutive stress-strain relation and the principle of virtual work is presented. For validation purpose, the proposed identification method was first attempted on finite element (FE) generated data for a forward-reverse simple shear test to investigate its capability in retrieving the input constitutive parameters. The influence of noise was also evaluated. Then, the identification method was applied to a selection of advanced high strength steel (AHSS), namely DP600, TRIP780 and TWIP980, sheet specimens, subjected to a small number of forward-reverse simple shear cycles. The material constitutive parameters were identified using the VFM based on which shear stress-strain curves were calculated and compared with their experimental counterparts. Good agreement was found between the calculated and the experimental curves despite the larger discrepancies observed in the reverse loading paths. To adjust these discrepancies, the original HAH model was modified with respect to the permanent softening related state variables. After modification, the model was simplified with only one state variable related to permanent softening. It was found that the discrepancies observed in the reverse loading paths were reduced with the modified HAH model.
0749-6419
229–250
Fu, Jiawei
4d70ee31-623d-4d44-869f-74d8333746bf
Barlat, Frédéric
2e8d23b9-adeb-430b-8a2c-dbcdf95151ec
Kim, Jin-Hwan
58c19f90-cbdc-4441-b2b8-c8969e96254f
Pierron, Fabrice
a1fb4a70-6f34-4625-bc23-fcb6996b79b4
Fu, Jiawei
4d70ee31-623d-4d44-869f-74d8333746bf
Barlat, Frédéric
2e8d23b9-adeb-430b-8a2c-dbcdf95151ec
Kim, Jin-Hwan
58c19f90-cbdc-4441-b2b8-c8969e96254f
Pierron, Fabrice
a1fb4a70-6f34-4625-bc23-fcb6996b79b4

Fu, Jiawei, Barlat, Frédéric, Kim, Jin-Hwan and Pierron, Fabrice (2017) Application of the virtual fields method to the identification of the homogeneous anisotropic hardening parameters for advanced high strength steels. International Journal of Plasticity, 93, 229–250. (doi:10.1016/j.ijplas.2016.07.013).

Record type: Article

Abstract

In the present paper, an inverse problem solution so called the virtual fields method (VFM) is implemented to identify the parameters of the homogeneous anisotropic hardening (HAH) model, a distortional plasticity-based model that describes the material plastic behavior when subjected to strain path changes. The framework of the identification method that combines the formulation of the yield condition, the constitutive stress-strain relation and the principle of virtual work is presented. For validation purpose, the proposed identification method was first attempted on finite element (FE) generated data for a forward-reverse simple shear test to investigate its capability in retrieving the input constitutive parameters. The influence of noise was also evaluated. Then, the identification method was applied to a selection of advanced high strength steel (AHSS), namely DP600, TRIP780 and TWIP980, sheet specimens, subjected to a small number of forward-reverse simple shear cycles. The material constitutive parameters were identified using the VFM based on which shear stress-strain curves were calculated and compared with their experimental counterparts. Good agreement was found between the calculated and the experimental curves despite the larger discrepancies observed in the reverse loading paths. To adjust these discrepancies, the original HAH model was modified with respect to the permanent softening related state variables. After modification, the model was simplified with only one state variable related to permanent softening. It was found that the discrepancies observed in the reverse loading paths were reduced with the modified HAH model.

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Accepted/In Press date: 23 July 2016
e-pub ahead of print date: 30 July 2016
Published date: 2017
Organisations: Engineering Mats & Surface Engineerg Gp

Identifiers

Local EPrints ID: 399863
URI: http://eprints.soton.ac.uk/id/eprint/399863
ISSN: 0749-6419
PURE UUID: eb442fd2-9375-466a-9c22-4ce23f5bcc45
ORCID for Fabrice Pierron: ORCID iD orcid.org/0000-0003-2813-4994

Catalogue record

Date deposited: 02 Sep 2016 08:46
Last modified: 22 Nov 2021 02:58

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Contributors

Author: Jiawei Fu
Author: Frédéric Barlat
Author: Jin-Hwan Kim
Author: Fabrice Pierron ORCID iD

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