Material Parameter Identification Using Bayesian Data Assimilation and Biaxial Tensile Test

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Abstract:

This study proposes a Bayesian data assimilation approach to estimate material model parameters based on deformation fields measured via digital image correlation in a biaxial tensile test using a cruciform specimen. The anisotropy parameters and exponent of the Yld2000-2d yield function for a A5052P-H32 aluminum alloy are identified. The results indicate that the proposed method can estimate parameters with high accuracy—comparable to those identified via conventional multiaxial testing methods—while requiring only a single biaxial test. The proposed method offers an efficient framework for material modeling by minimizing a cost function via Bayesian optimization, enabling parameter identification from a single biaxial tensile test for sheet metal forming applications.

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29-35

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April 2026

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[1] D. Yanaga, T. Kuwabara, N. Uema, M. Asano, Material modeling of 6000 series aluminum alloy sheets with different density cube textures and effect on the accuracy of finite element simulation, Int. J. Solid Struct. 49 (2012) 3488-3495.

DOI: 10.1016/j.ijsolstr.2012.03.005

Google Scholar

[2] K. Sasaki, A. Yamanaka, Bayesian data assimilation for phase-field fracture simulation and full-field strain measurement using digital image correlation, Theor. Appl. Frac. Mech. 141 (2026) 105347.

DOI: 10.1016/j.tafmec.2025.105347

Google Scholar

[3] Y. Zhang, A. Van Bael, A. Andrade-Campos, S. Coppieters, Parameter identifiability analysis: Mitigating the non-uniqueness issue in the inverse identification of an anisotropic yield function. Int. J. Solids Struct. 243 (2022) 111543.

DOI: 10.1016/j.ijsolstr.2022.111543

Google Scholar

[4] A. Lattanzi, F. Barlat, F. Pierron, A. Marek, M. Rossi, Inverse identification strategies for the characterization of transformation-based anisotropic plasticity models with the nonlinear VFM. Int. J. Mech. Sci. 173 (2020) 105422.

DOI: 10.1016/j.ijmecsci.2020.105422

Google Scholar

[5] F. Barlat, J. C. Brem, J. W. Yoon, K. Chung, R. E. Dick, D. J. Lege, F. Pourboghrat, S. H. Choi, E. Chu, Plane stress yield function for aluminum alloy sheets-Part 1: Theory. Int. J. Plasticity. 19 (2003) 1297-1319.

DOI: 10.1016/s0749-6419(02)00019-0

Google Scholar

[6] H. Takizawa, T. Kuwabara, K. Oide, J. Yoshida, Development of the subroutine library 'UMMDp' for anisotropic yield functions commonly applicable to commercial FEM codes. J. Phys. Conf. Ser. 734 (2016) 032028.

DOI: 10.1088/1742-6596/734/3/032028

Google Scholar

[7] Y. Saito, H. Takizawa, Modeling of yield surfaces for A5052 aluminum alloy sheets with different tempers by simplified identification method and its experimental validation. Mater. Trans. 64 (2023) 605-1613.

DOI: 10.2320/matertrans.mt-l2023002

Google Scholar