Convergence of equilibria for bending-torsion models of rods with inhomogeneities
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Publication:4960368
DOI10.1017/prm.2018.109zbMath1457.74165arXiv1707.04521OpenAlexW2964210564MaRDI QIDQ4960368
Publication date: 15 April 2020
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.04521
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Inhomogeneity in solid mechanics (74E05) Homogenization in equilibrium problems of solid mechanics (74Q05)
Cites Work
- Unnamed Item
- Derivation of homogenized Euler-Lagrange equations for von Kármán rods
- Non-periodic homogenization of bending-torsion theory for inextensible rods from 3D elasticity
- Derivation of the nonlinear bending-torsion theory for inextensible rods by \(\Gamma\)-convergence
- The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
- Decompositions of displacements of thin structures
- A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
- 3D-2D Asymptotic Analysis for Inhomogeneous Thin Films
- Convergence of equilibria of thin elastic rods under physical growth conditions for the energy density
- Some Open Problems in Elasticity
- On the general homogenization of von Kármán plate equations from three-dimensional nonlinear elasticity
- ASYMPTOTIC BEHAVIOR OF STRUCTURES MADE OF CURVED RODS
- Convergence of equilibria of three-dimensional thin elastic beams
- Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici lattissimo sensu accepti
- A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
- Convergence of equilibria for planar thin elastic beams
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