On a consistent rod theory for a linearized anisotropic elastic material: I. Asymptotic reduction method
From MaRDI portal
Publication:4992782
DOI10.1177/1081286520949602OpenAlexW3082774584MaRDI QIDQ4992782
Xiaoyi Chen, Erick Pruchnicki, Hui-Hui Dai
Publication date: 10 June 2021
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1177/1081286520949602
Fourier seriesrod theoryanisotropic elastic materialasymptotic reduction methodrod virtual work principle
Related Items (3)
On a consistent rod theory for a linearized anisotropic elastic material II. Verification and parametric study ⋮ A uniform framework for the dynamic behavior of linearized anisotropic elastic rods ⋮ A novel reduced model for a linearized anisotropic rod with doubly symmetric a cross-section: I. Theory
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a consistent dynamic finite-strain plate theory and its linearization
- A variational definition of the strain energy for an elastic string
- Derivation of the nonlinear bending-torsion theory for inextensible rods by \(\Gamma\)-convergence
- A nonlinear model for inextensible rods as a low energy \(\varGamma\)-limit of three-dimensional nonlinear elasticity
- Hierarchy of one-dimensional models in nonlinear elasticity
- On the lower-order theories of continua with application to incremental motions, stability and vibrations of rods
- Convergence of equilibria of three-dimensional thin elastic beams
- Recursive Derivation of One-Dimensional Models from Three-Dimensional Nonlinear Elasticity
- Une justification des équations de la thermoélasticité des poutres à section variable par des méthodes asymptotiques
- Pointwise error estimate for a consistent beam theory
- New refined models for curved beams in both linear and nonlinear settings
- A refined dynamic finite-strain shell theory for incompressible hyperelastic materials: equations and two-dimensional shell virtual work principle
- Contribution to beam theory based on 3-D energy principle
- Nonlinear problems of elasticity
This page was built for publication: On a consistent rod theory for a linearized anisotropic elastic material: I. Asymptotic reduction method
