Inverse design of an isotropic suspended Kirchhoff rod: theoretical and numerical results on the uniqueness of the natural shape

DOI10.1098/rspa.2017.0837zbMath1402.74058OpenAlexW2802697984WikidataQ88609638 ScholiaQ88609638MaRDI QIDQ4557662

Arnaud Lazarus, Alexandre Derouet-Jourdan, Victor Romero, Florence Bertails-Descoubes

Publication date: 26 November 2018

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2017.0837

zbMATH Keywords

inverse designnatural curvaturecurve framingKirchhoff thin elastic rod

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Protein sequences, DNA sequences (92D20)

Related Items (1)

A bottom‐up optimization method for inverse design of two‐dimensional clamped‐free elastic rods

Uses Software

• Strands

Cites Work

• Unnamed Item
• Kirchhoff's theory of rods
• Tendril perversion in intrinsically curved rods
• Nonlinear dynamics and loop formation in Kirchhoff rods with implications to the mechanics of DNA and cables
• Floating tangents for approximating spatial curves with \(G^1\) piecewise helices
• Inverse finite element method for large-displacement beams
• Finite element modelling of inverse design problems in large deformations anisotropic hyperelasticity
• The inverse problem for the Euler-Bernoulli beam
• Spatially complex localization after one-twist-per-wave equilibria in twisted circular rods with initial curvature
• An asymptotic numerical method for inverse elastic shape design
• Inverse problems in elasticity
• Lagrangian Aspects of the Kirchhoff Elastic Rod
• Nonlinear problems of elasticity

This page was built for publication: Inverse design of an isotropic suspended Kirchhoff rod: theoretical and numerical results on the uniqueness of the natural shape