Application of Auxetic and FGM Materials to Minimize Warping on a Cantilever C-beam
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The ability to tailor material properties across the three-dimensional domain has made Functionally Graded Materials vastly attractive for advanced engineering applications. This ability enhances the customization of mechanical, thermal, and dynamical characteristics in accordance with specific application requirements. Among composite systems, auxetic materials offer outstanding performance in terms of energy absorption, shear resistance, and fracture toughness, which represents a promising solution for impact-resistant and lightweight structures. [1,2] The integration of auxetic behaviour with functionally graded materials results in advanced material designs in which both geometric configuration and material distribution, coupled with the exotic mechanical properties of auxetic materials (for example, negative Poisson coefficients), act as fundamental design variables beyond traditional geometrical considerations. [3] In this study, auxetic material is used in a graded distribution on a cantilever structural C-section beam to analyse the behaviour when a single transversal force is applied to the free end. This type of structural beam is known to provide low torsional stiffness, making it susceptible to lateral-torsional displacements when subjected to transversal loads. This work intends to address this problem by implementing an optimization procedure to minimize undesirable warping responses, giving preference to bending responses aligned with the applied force plane. The displacements suffered by the beam are evaluated through finite element analysis using solid hexaedric elements. REFERENCES [1] I.M. El-Galy, B.I. Saleh, and M.H. Ahmed Functionally graded materials classifications and development trends from industrial point of view. SN Applied Sciences, Vol. 1, Iss. 11, pp. 1378, 2019. [2] M.A.R. Loja and J.I. Barbosa. Exponentially graded auxetic structures: An assessment of the shear correction factor and static deflection. Applied Sciences, Vol. 14, Iss. 20, pp. 9356, 2024. [3] F.T Páscoa, C.M. Machado, J.O. Cardoso, J.P. Borges, and A. Velhinho. Methodology for modelling and simulation of tailored 3D functionally graded auxetic metamaterials. The International Journal of Advanced Manufacturing Technology, Vol 125, pp. 4647–4661, 2023.
