Nonlinear weakly curved rod by \(\Gamma \)-convergence
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Publication:438907
DOI10.1007/s10659-011-9358-xzbMath1243.74108arXiv1102.2648OpenAlexW2087871751MaRDI QIDQ438907
Publication date: 31 July 2012
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1102.2648
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Cites Work
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- Convergence of equilibria of thin elastic plates under physical growth conditions for the energy density
- The Föppl-von Kármán plate theory as a low energy \(\Gamma\)-limit of nonlinear elasticity
- A variational definition of the strain energy for an elastic string
- Stability of slender bodies under compression and validity of the von Kármán theory
- A justification of nonlinear properly invariant plate theories
- An introduction to \(\Gamma\)-convergence
- Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence.
- Derivation of the nonlinear bending-torsion theory for inextensible rods by \(\Gamma\)-convergence
- The membrane shell model in nonlinear elasticity: A variational asymptotic derivation
- The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
- A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
- Hierarchy of one-dimensional models in nonlinear elasticity
- Convergence of Equilibria of Thin Elastic Plates - The Von Karman Case
- Convergence of equilibria of three-dimensional thin elastic beams
- Asymptotic models for curved rods derived from nonlinear elasticity by Γ-convergence
- On the Convergence of the Energy, Stress Tensors, and Eigenvalues in Homogenization Problems of Elasticity
- Mathematical justification of a one-dimensional model for general elastic shallow arches
- A bending and stretching asymptotic theory for general elastic shallow arches
- A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
- Shell theories arising as low energy Gamma-limit of 3d nonlinear elasticity
- The nonlinear bending-torsion theory for curved rods as Gamma-limit of three-dimensional elasticity
- Nonlinear problems of elasticity
