Comparative analysis of a hypoelastic formulation with a hyperelastic one in the simulation of sheet metal forming processes

Comparative analysis of a hypoelastic formulation with a hyperelastic one in the simulation of sheet metal forming processes

Marta C. OLIVEIRA, Rúben T. ALMEIDA, João P. BRITO, José L. ALVES

Abstract. Two formulations are explored in the context of elastoplasticity: (i) hypoelastic, based on plastic potentials in the stress space, and (ii) hyperelastic, based on plastic potentials in the strain space. The main objective is to compare these formulations regarding their computational efficiency in function of the increment of (pseudo)-time. The example considered is the forming of a square cup. The results showed that hyperelastic formulation offers greater computational efficiency, especially with the increase in the (pseudo)-time increment, without significantly compromising accuracy. The hypoelastic one presented convergence difficulties with larger increments of (pseudo)-time.

Keywords
Finite Element Method, Hypoelasticity, Hyperelasticity, Large Deformation Plasticity, Anisotropy, Computational Efficiency

Published online 5/7/2025, 10 pages
Copyright © 2025 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Marta C. OLIVEIRA, Rúben T. ALMEIDA, João P. BRITO, José L. ALVES, Comparative analysis of a hypoelastic formulation with a hyperelastic one in the simulation of sheet metal forming processes, Materials Research Proceedings, Vol. 54, pp 1992-2001, 2025

DOI: https://doi.org/10.21741/9781644903599-214

The article was published as article 214 of the book Material Forming

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

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