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The main novelty lies in the use of Gaussian Process Regression with the objective of identifying the constitutive parameters of metal sheets from the biaxial tensile test results on a cruciform specimen. The metamodel is intended to identify the constitutive parameters of the work hardening law and yield criterion. The metamodel used as input data the forces along both arms of the cruciform specimen and the strains measured for a given set of points. The identification strategy was tested for a wide range of virtual materials, and it was concluded that the strategy is able to identify the constitutive parameter with a relative error below to 1%. Afterwards, an uncertainty analysis is conducted by introducing noise to the force and strain measurements. The optimal strategy is able to identify the constitutive parameters with errors inferior to 6% in the description of the hardening, anisotropy coefficients and yield stresses in the presence of noise. The study emphasizes that the main strength of the proposed strategy relies on the judicious selection of critical areas for strain measurement, thereby increasing the accuracy and reliability of the identification process.<\/jats:p>","DOI":"10.3390\/met14020212","type":"journal-article","created":{"date-parts":[[2024,2,8]],"date-time":"2024-02-08T09:00:02Z","timestamp":1707382802000},"page":"212","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Identification of Sheet Metal Constitutive Parameters Using Metamodeling of the Biaxial Tensile Test on a Cruciform Specimen"],"prefix":"10.3390","volume":"14","author":[{"given":"Tom\u00e1s G.","family":"Parreira","sequence":"first","affiliation":[{"name":"Centre for Mechanical Engineering, Materials and Processes (CEMMPRE), Department of Mechanical Engineering, University of Coimbra, 3030-788 Coimbra, Portugal"},{"name":"Advanced Production and Intelligent Systems Associated Laboratory (ARISE), 4200-465 Porto, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7570-8853","authenticated-orcid":false,"given":"Armando E.","family":"Marques","sequence":"additional","affiliation":[{"name":"Centre for Mechanical Engineering, Materials and Processes (CEMMPRE), Department of Mechanical Engineering, University of Coimbra, 3030-788 Coimbra, Portugal"},{"name":"Advanced Production and Intelligent Systems Associated Laboratory (ARISE), 4200-465 Porto, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1922-4365","authenticated-orcid":false,"given":"Nataliya A.","family":"Sakharova","sequence":"additional","affiliation":[{"name":"Centre for Mechanical Engineering, Materials and Processes (CEMMPRE), Department of Mechanical Engineering, University of Coimbra, 3030-788 Coimbra, Portugal"},{"name":"Advanced Production and Intelligent Systems Associated Laboratory (ARISE), 4200-465 Porto, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7650-9362","authenticated-orcid":false,"given":"Pedro A.","family":"Prates","sequence":"additional","affiliation":[{"name":"Centre for Mechanical Engineering, Materials and Processes (CEMMPRE), Department of Mechanical Engineering, University of Coimbra, 3030-788 Coimbra, Portugal"},{"name":"Advanced Production and Intelligent Systems Associated Laboratory (ARISE), 4200-465 Porto, Portugal"},{"name":"Centre for Mechanical Technology and Automation (TEMA), Department of Mechanical Engineering, University of Aveiro, 3810-193 Aveiro, Portugal"},{"name":"Intelligent Systems Associate Laboratory (LASI), 4800-058 Guimar\u00e3es, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0443-4925","authenticated-orcid":false,"given":"Andr\u00e9 F. G.","family":"Pereira","sequence":"additional","affiliation":[{"name":"Centre for Mechanical Engineering, Materials and Processes (CEMMPRE), Department of Mechanical Engineering, University of Coimbra, 3030-788 Coimbra, Portugal"},{"name":"Advanced Production and Intelligent Systems Associated Laboratory (ARISE), 4200-465 Porto, Portugal"}]}],"member":"1968","published-online":{"date-parts":[[2024,2,8]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1016\/j.jmatprotec.2007.06.018","article-title":"Optimization of Sheet Metal Forming Processes by Adaptive Response Surface Based on Intelligent Sampling Method","volume":"197","author":"Hu","year":"2008","journal-title":"J. Mater. Process Technol."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"517","DOI":"10.1016\/S0890-6955(98)00031-5","article-title":"Finite Element Analysis and Optimization on Springback Reduction","volume":"39","author":"Chou","year":"1999","journal-title":"Int. J. 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