Title: Inverse analysis methodology on metal sheets for constitutive parameters identification

Authors: P.A. Prates; J.V. Fernandes; M.C. Oliveira; N.A. Sakharova

Addresses: Center of Mechanical Engineering, Department of Mechanical Engineering, University of Coimbra, Pólo II, Rua Luís Reis Santos, Pinhal de Marrocos, 3030-788 Coimbra, Portugal ' Center of Mechanical Engineering, Department of Mechanical Engineering, University of Coimbra, Pólo II, Rua Luís Reis Santos, Pinhal de Marrocos, 3030-788 Coimbra, Portugal ' Center of Mechanical Engineering, Department of Mechanical Engineering, University of Coimbra, Pólo II, Rua Luís Reis Santos, Pinhal de Marrocos, 3030-788 Coimbra, Portugal ' Center of Mechanical Engineering, Department of Mechanical Engineering, University of Coimbra, Pólo II, Rua Luís Reis Santos, Pinhal de Marrocos, 3030-788 Coimbra, Portugal

Abstract: This work proposes an inverse analysis methodology for determining the constitutive models parameters, used to describe the plastic behaviour of metal sheets, from results of a single experimental biaxial tensile test on a flat cruciform sample. The proposed methodology is based on a direct analysis of finite element simulation results carried out for different combinations of material plastic properties. The biaxial test sensitivity to the in-plane r-value distribution was evaluated. An inverse analysis methodology was thus established, enabling the determination of the yield criterion parameters by evaluating the relative error between numerical and experimental results of the biaxial tensile test, namely the load evolution with the displacement and the equivalent strain distribution along the symmetry axes. Finally, the proposed methodology was numerically validated throughout the identification of Hill'48 yield criterion parameters for a material with a plastic behaviour well described by this criterion and the Swift hardening law.

Keywords: inverse analysis; constitutive laws; parameter identification; cruciform biaxial tensile test; numerical simulation; finite element method; FEM; Hill'48 yield criterion; plastic behaviour; Swift hardening law.

DOI: 10.1504/IJMATEI.2013.054390

International Journal of Materials Engineering Innovation, 2013 Vol.4 No.2, pp.101 - 116

Published online: 06 Jun 2013 *

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