Shape programming of a magnetic elastica

DOI10.1142/S0218202521500160zbMath1478.74067arXiv2003.02696OpenAlexW3127738552MaRDI QIDQ5164218

Riccardo Durastanti, Giuseppe Tomassetti, Lorenzo Giacomelli

Publication date: 10 November 2021

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.02696

zbMATH Keywords

optimal controlnonlinear elasticitycantilever beamoptimal designLagrange-multiplier formulationnon-uniform magnetization

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control, switches and devices (``smart materials) in solid mechanics (74M05) Nonlinear elasticity (74B20) Electromagnetic effects in solid mechanics (74F15) Optimization of other properties in solid mechanics (74P10)

Related Items (1)

A theory of magneto-elastic nanorods obtained through rigorous dimension reduction

Cites Work

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• Euler's Elastica and Curvature-Based Inpainting
• Equilibria of a clamped Euler beam (Elastica) with distributed load: Large deformations

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