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Communication Dans Un Congrès Année : 2021

TOPOLOGY OPTIMIZATION OF LOAD BEARING CAPACITY FOR STRUCTURES WITH DIFFERENT TENSILE/COMPRESSIVE STRENGTHS

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1
Leyla Mourad
  • Fonction : Auteur
Jeremy Bleyer
Romain Mesnil
Joanna Nseir
  • Fonction : Auteur
Wassim Raphael
  • Fonction : Auteur
Karam Sab

Résumé

This work extends the theory of limit analysis [2, 5] which consists in computing a structure maximum load bearing capacity to topology optimization problems. Here we aim at finding a structure which maximizes the load-bearing capacity, given some material strength properties, on a fixed computational domain with a given material volume constraint. The problem is relaxed to a convex optimization problem by considering a continuous fictitious density field. We show that this problem is equivalent to minimizing the total volume such that the structure can withstand a given fixed loading [3, 1]. State-ofthe-art conic programming solvers [4] are used for computing the solutions to the convex optimization problems. Finally a SIMP-like penalty method is proposed to obtain discrete topologies. Materials with asymmetric tensile and compressive strengths are considered, with the particular case of no-tension materials. Examples illustrating the efficiency of the proposed method will finally be presented.
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Dates et versions

hal-03148136 , version 1 (01-03-2021)

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  • HAL Id : hal-03148136 , version 1

Citer

Leyla Mourad, Jeremy Bleyer, Romain Mesnil, Joanna Nseir, Wassim Raphael, et al.. TOPOLOGY OPTIMIZATION OF LOAD BEARING CAPACITY FOR STRUCTURES WITH DIFFERENT TENSILE/COMPRESSIVE STRENGTHS. 14th World Congress on Computational Mechanics (WCCM), Jan 2021, Paris (virtual), France. ⟨hal-03148136⟩
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