Material optimization for nonlinearly elastic planar beams
ESAIM: Control, Optimisation and Calculus of Variations, Tome 25 (2019), article no. 11.

We consider the problem of an optimal distribution of soft and hard material for nonlinearly elastic planar beams. We prove that under constant vertical load the optimal distribution involves no microstructure and is ordered, and we provide numerical simulations confirming and extending this observation.

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DOI : 10.1051/cocv/2017081
Classification : 49K15, 49Q10, 74P05, 74S05
Mots-clés : Shape optimization, nonlinear elasticity, phase-field model
Hornung, Peter 1 ; Rumpf, Martin 1 ; Simon, Stefan 1

1 
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Hornung, Peter; Rumpf, Martin; Simon, Stefan. Material optimization for nonlinearly elastic planar beams. ESAIM: Control, Optimisation and Calculus of Variations, Tome 25 (2019), article no. 11. doi : 10.1051/cocv/2017081. http://www.numdam.org/articles/10.1051/cocv/2017081/

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