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ISSN 2753-3239
CCC: 9
PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY
Edited by: P. Iványi, J. Kruis and B.H.V. Topping
Paper 3.9

UPM Based Topology Optimisation of Nonlinear Materials

A. Alibakhshi, L. Saucedo-Mora, M.Á. Sanz Gomez, J.M. Benitez Baena and F.J. Montans Leal

Escuela Técnica Superior de Ingeniería Aeronáutica y del Espacio, Universidad Polotécnica de Madrid, Spain

Full Bibliographic Reference for this paper
A. Alibakhshi, L. Saucedo-Mora, M.Á. Sanz Gomez, J.M. Benitez Baena, F.J. Montans Leal, "UPM Based Topology Optimisation of Nonlinear Materials", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 9, Paper 3.9, 2024, doi:10.4203/ccc.9.3.9
Keywords: topology optimisation, geometric nonlinearity, hyperelastic materials, additive manufacturing, Updated mechanical variables, finite element modelling.

Abstract
In this paper, we present topology optimisation formulation considering material and geometrical nonlinearities based on the Updated Properties Model (UPM). We use the Saint Venant and neo-Hookean strain energy for physical nonlinearity and the Green-Lagrange strain tensor for geometrical nonlinearity. The suggested method can be applied to the effective design of hyperelastic metamaterials, with the primary potential applications being in biomedical and soft robotic systems.

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