MONTEMURRO, Marco; ROINE, Thibaut

doi:10.1016/j.advengsoft.2023.103591

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MONTEMURRO, Marco

Institut de Mécanique et d'Ingénierie [I2M]

ROINE, Thibaut

Institut de Mécanique et d'Ingénierie [I2M]

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Article de revue

Ce document a été publié dans

Advances in Engineering Software. 2024-03-01, vol. 189, p. 103591

Résumé en anglais

In this paper, a new method to address strength-based topology optimisation (TO) problems is proposed. Specifically, failure criteria for anisotropic materials are integrated into a TO algorithm making use of Non-Uniform Rational Basis Spline (NURBS) hyper-surfaces to represent the pseudo-density field describing the topology of the continuum, thus providing solutions that can be easily exported to any computer-aided design software. The notion of failure load factor is introduced to obtain optimised topologies that do not depend on the magnitude of the applied loads. A unified formulation of the main phenomenological criteria for anisotropic materials, i.e., Tsai–Wu, Hoffman and Tsai–Hill criteria, is used and typical issues related to stress-based TO problems, such as local behaviour and singularity of stresses, are handled thanks to: the properties of NURBS blending functions, a special adaptive X-norm aggregation function that avoids overflow/underflow issues, and a modified pq relaxation approach. The effectiveness of the proposed approach is demonstrated on 2D and 3D problems. A sensitivity analysis of the optimised topologies to the integer parameters involved in the definition of the NURBS entity is performed. Moreover, the influence of the penalisation scheme used for the elasticity and the stress tensors, the failure criterion, and the orientation of the material on the optimal solution is also investigated.< Réduire

URI

https://oskar-bordeaux.fr/handle/20.500.12278/200949

DOI

http://dx.doi.org/10.1016/j.advengsoft.2023.103591

Project ANR

Une stratégie d'optimisation multi-échelle à deux niveaux basée sur une approche de modélisation global/local et intégrant les singularités du procédé pour la conception des composites à rigidité variable - ANR-21-CE10-0014

Unités de recherche

Institut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295