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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Alibakhshi et al. (2024) studied this question.
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