A Non-Autonomous Variational Problem Describing a Nonlinear Timoshenko Beam

DOI10.1137/22m1493653zbMath1525.74115arXiv2204.07455OpenAlexW4387060466MaRDI QIDQ6073325

Fabio Giannoni, Dario Corona, Alessandro Della Corte

Publication date: 17 October 2023

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.07455

zbMATH Keywords

nonlinear elasticitylocal minimizerglobal minimizerminimizer regularityminimizer existencedistributed loadbeam energy functional

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Regularity of solutions of equilibrium problems in solid mechanics (74G40) PDEs in connection with mechanics of deformable solids (35Q74) Existence of solutions of equilibrium problems in solid mechanics (74G22)

Cites Work

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• A variational approach for a nonlinear one-dimensional damage-elasto-plastic second-gradient continuum model
• Large deformations of 1D microstructured systems modeled as generalized Timoshenko beams
• A multiplicity result for Euler-Lagrange orbits satisfying the conormal boundary conditions
• Functional analysis, Sobolev spaces and partial differential equations
• Convex functional analysis
• Multiple orthogonal geodesic chords in nonconvex Riemannian disks using obstacles
• Large deformations of Timoshenko and Euler beams under distributed load
• Some Open Problems in Elasticity
• One-Dimensional Microstructure Dynamics
• Elliptic Partial Differential Equations of Second Order
• Equilibria of a clamped Euler beam (Elastica) with distributed load: Large deformations
• Direct methods in the calculus of variations

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