On the Kirchhoff-Love hypothesis (Revised and Vindicated)
From MaRDI portal
Publication:2028439
DOI10.1007/s10659-021-09819-7zbMath1465.74104arXiv2005.13412OpenAlexW3128999629MaRDI QIDQ2028439
Olivier Ozenda, Epifanio G. Virga
Publication date: 1 June 2021
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.13412
energy functionaldimension reductiongamma-convergenceKirchhoff-Love hypothesisplate bending energyplate stretching energy
Nonlinear elasticity (74B20) Plates (74K20) Energy minimization in equilibrium problems in solid mechanics (74G65)
Related Items
Bending and stretching in a narrow ribbon of nematic polymer networks, Energies for elastic plates and shells from quadratic-stretch elasticity, A ribbon model for nematic polymer networks, Quadratic-stretch elasticity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Constitutive equations for amended non-Gaussian network models of rubber elasticity
- An exact derivation of the thin plate equation
- Exact theory of stress and strain in rods and shells
- Elastic theory of unconstrained non-Euclidean plates
- Asymptotic expansions by \(\Gamma \)-convergence
- A continuum theory of elastic material surfaces
- Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence.
- A molecular-statistical basis for the Gent constitutive model of rubber elasticity
- An average-stretch full-network model for rubber elasticity
- The membrane shell model in nonlinear elasticity: A variational asymptotic derivation
- The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
- On variational dimension reduction in structure mechanics
- A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
- On the validation of theories of thin elastic structures
- Gaussian curvature from flat elastica sheets
- The influence of elasticity on analysis: The classic heritage
- A JUSTIFICATION OF THE REISSNER–MINDLIN PLATE THEORY THROUGH VARIATIONAL CONVERGENCE
- The mechanics of rubber elasticity
- Mathematical Models for Elastic Structures
- Nematic director fields and topographies of solid shells of revolution
- An existence theorem for a two-dimensional nonlinear shell model of Koiter’s type
- A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
- Encoding Gaussian curvature in glassy and elastomeric liquid crystal solids
- On the nonlinear theory of elastic shells under the Kirchhoff hypothesis
- On the Theory of Bending of Elastic Plates
- Nonlinear problems of elasticity