On the inverse identification of sheet metal mechanical behaviour using a heterogeneous Arcan virtual experiment

João Henriques, António Andrade-Campos, José Xavier

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


Modelling and simulation are critical stages of product development in modern industry. Simulation tools in solid mechanics use constitutive models and their parameters to describe the behaviour of materials. Nowadays, with the use of heterogeneous test configurations and full-field measurements, it is possible to measure a combination of multiple strain states, allowing for the identification of multiple parameters from a single test with reduced cost and time. This work aims to investigate the potential for obtaining heterogeneous states of strain\stress with the Arcan test configuration. A finite element model was developed using a specimen with a smooth arc section in which the loading and material directions varied, producing tensile, shear, or mixed mode responses. The most heterogeneous test configuration was selected using a heterogeneous criterion and the numerical results were used to generate synthetic speckle pattern images and further processed by digital image correlation (DIC). The DIC results were used as input for the identification procedure through the virtual fields method (VFM) for the simultaneous calibration of the Swift hardening law and the Hill'48 anisotropic yield criterion. The identified solution was compared with the ground truth material parameters. The results show the potential of combining the Arcan test with the VFM to simultaneously identify material parameters for anisotropic plasticity models of sheet metals.

Original languageEnglish
Title of host publicationMaterial Forming
Subtitle of host publicationThe 26th International ESAFORM Conference on Material Forming – ESAFORM 2023 - held in Kraków, Poland, April 19-21, 2023
EditorsLukasz Madej, Mateusz Sitko, Konrad Perzynsk
Place of PublicationMillersville
PublisherAssociation of American Publishers
Number of pages12
ISBN (Print)978-164490246-2
Publication statusPublished - 2023
Event26th International ESAFORM Conference on Material Forming, ESAFORM 2023 - Kraków, Poland
Duration: 19 Apr 202321 Apr 2023

Publication series

NameMaterials Research Proceedings
PublisherAssociation of American Publishers
ISSN (Print)2474-3941
ISSN (Electronic)2474-395X


Conference26th International ESAFORM Conference on Material Forming, ESAFORM 2023


  • Anisotropic Plasticity
  • Arcan Test
  • Digital Image Correlation
  • Heterogeneous Test Evaluation
  • Inverse Identification
  • Sheet Metal Forming
  • Synthetic Images


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