MONTEMURRO, Marco; BERTOLINO, Giulia; ROINE, Thibaut

doi:10.1016/j.compstruct.2020.113360

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MONTEMURRO, Marco

Institut de Mécanique et d'Ingénierie [I2M]

BERTOLINO, Giulia

Institut de Mécanique et d'Ingénierie [I2M]

ROINE, Thibaut

Institut de Mécanique et d'Ingénierie [I2M]

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Ce document a été publié dans

Composite Structures. 2020-12-01, vol. 258, p. 113360

Résumé en anglais

A general framework for the multi-scale topology optimisation (TO) of lattice structures (LSs) is presented in this work. The proposed method involves: Non-Uniform Rational Basis Spline (NURBS) hyper-surfaces to represent the pseudo-density field describing the LS representative volume element (RVE) topology, the Solid Isotropic Material with Penalisation (SIMP) approach and the strain energy-based homogenisation method (SEHM) to perform the scale transition. The main contributions of this work are essentially three. Firstly, physical responses are defined at different scales and their gradient is evaluated by exploiting the NURBS local support property and the Dirichlet’s problem properties at the RVE scale. Secondly, the computational efficiency of the SEHM based on elements strain energy over that of the SEHM based on elements averaged stresses is rigorously proven. Finally, to show the effectiveness of the method, numerical analyses are conducted on 2D and 3D problems. A sensitivity analysis of the optimised topology to the integer parameters of the NURBS hyper-surface is carried out. Moreover, the influence of the initial guess and of the macroscopic loading condition on the RVE optimised topology is investigated. The minimum length-scale requirement is also integrated into the problem formulation as a manufacturing constraint.< Réduire

Mots clés en anglais

Topology optimisation

NURBS Hyper-Surfaces

Lattice Structures

Homogenisation

Additive Manufacturing

Finite Element Method

URI

https://oskar-bordeaux.fr/handle/20.500.12278/124260

DOI

http://dx.doi.org/10.1016/j.compstruct.2020.113360

Project ANR

Conception et Optimisation de Forme pour la Fabrication Additive - ANR-17-CE10-0008

Unités de recherche

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

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A General Multi-Scale Topology Optimisation Method for Lightweight Lattice Structures Obtained through Additive Manufacturing Technology

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