Asymptotic Model of a Nonlinear Adaptive Elastic Rod

DOI10.1177/1081286504035615zbMath1068.74036OpenAlexW2061198403MaRDI QIDQ4671779

L. Trabucho, Isabel M. Narra Figueiredo

Publication date: 26 April 2005

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10316/11462

zbMATH Keywords

asymptotic expansiongeneralized Bernoulli-Navier equilibrium equationsremodelling rate equation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10)

Related Items (8)

An existence and uniqueness result for a strain-adaptive bone remodeling problem ⋮ Accelerating numerical simulations of strain-adaptive bone remodeling predictions ⋮ A convergence result in the study of bone remodeling contact problems ⋮ Numerical analysis of a strain-adaptive bone remodelling problem ⋮ An asymptotic model of a nonlinear adaptive elastic plate ⋮ Conical differentiability for bone remodeling contact rod models ⋮ A 2-D biharmonic equation for the displacement of an isotropic Kelvin–Voigt viscoelastic plate ⋮ Approximation of bone remodeling models

Cites Work

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• Bone remodelling. I: Theory of adaptive elasticity
• Bone remodeling III: uniqueness and stability in adaptive elasticity theory
• An existence and uniqueness result in bone remodeling theory

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