Material optimization for nonlinearly elastic planar beams-Reference-Cited by-同舟云学术

Material optimization for nonlinearly elastic planar beams

Published:2019 Issue: Volume:25 Page:11
ISSN:1262-3377
Container-title:ESAIM: Control, Optimisation and Calculus of Variations
language:
Short-container-title:ESAIM: COCV

Author:

Hornung Peter,Rumpf Martin,Simon Stefan

Abstract

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.

Funder

Deutsche Forschungsgemeinschaft

Publisher

EDP Sciences

Subject

Computational Mathematics,Control and Optimization,Control and Systems Engineering

Link

https://www.esaim-cocv.org/10.1051/cocv/2017081/pdf

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