Material optimization for nonlinearly elastic planar beams

DOI10.1051/COCV/2017081zbMath1444.74025arXiv1604.02267OpenAlexW2963765092MaRDI QIDQ5107914

Peter Hornung, Stefan Simon, Martin Rumpf

Publication date: 29 April 2020

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.02267

zbMATH Keywords

finite element methodNewton's methodnonlinear elasticityphase-field modeluniqueness of minimizerbending energy optimization

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Energy minimization in equilibrium problems in solid mechanics (74G65) Optimization of other properties in solid mechanics (74P10) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (2)

Deformation of framed curves with boundary conditions ⋮ On material optimisation for nonlinearly elastic plates and shells

Cites Work

• Unnamed Item
• Non-periodic homogenization of bending-torsion theory for inextensible rods from 3D elasticity
• Ordinary differential equations: an introduction
• A phase-field model for compliance shape optimization in nonlinear elasticity
• Optimization with PDE Constraints
• 3D-2D asymptotic analysis of an optimal design problem for thin films
• A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
• Shape optimization by the homogenization method

This page was built for publication: Material optimization for nonlinearly elastic planar beams