hal-03148136
https://enpc.hal.science/hal-03148136
[ENPC] Ecole des Ponts ParisTech
[CNRS] CNRS - Centre national de la recherche scientifique
[UR-NAVIER] Laboratoire Navier
[PARISTECH] ParisTech
[IFSTTAR] Ifsttar
[UNIV-EIFFEL] Université Gustave Eiffel
[U-EIFFEL] Université Gustave Eiffel
TOPOLOGY OPTIMIZATION OF LOAD BEARING CAPACITY FOR STRUCTURES WITH DIFFERENT TENSILE/COMPRESSIVE STRENGTHS
Mourad, Leyla
Bleyer, Jeremy
Mesnil, Romain
Nseir, Joanna
Raphael, Wassim
Sab, Karam
[PHYS.MECA.MSMECA] Physics [physics]/Mechanics [physics]/Materials and structures in mechanics [physics.class-ph]
COMM
Topology optimization
Limit analysis
Convex optimization
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.
2021-01
en
14th World Congress on Computational Mechanics (WCCM)
Paris (virtual), France