Shell design from planar pre-stressed structures
From MaRDI portal
Publication:5133804
DOI10.1177/1081286520901553zbMath1482.74113OpenAlexW3003196848MaRDI QIDQ5133804
Ioan R. Ionescu, Alexandre Danescu
Publication date: 11 November 2020
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1177/1081286520901553
Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Shells (74K25)
Related Items (3)
Design of pre-stressed plate-strips to cover non-developable shells ⋮ Buckling morphology of glassy nematic films with staggered director field ⋮ The isotropic Cosserat shell model including terms up to \(O(h^5)\). I: Derivation in matrix notation
Cites Work
- Unnamed Item
- Unnamed Item
- Thin-plate theory for large elastic deformations
- Spatial resolution of wrinkle patterns in thin elastic sheets at finite strain
- A classification of thin plate models by asymptotic expansion of non-linear three-dimensional equilibrium equations
- A justification of nonlinear properly invariant plate theories
- Rigorous derivation of nonlinear plate theory and geometric rigidity
- Plates with incompatible prestrain of high order
- A nonlinear shell model of Koiter's type
- Asymptotic justification of the intrinsic equations of Koiter's model of a linearly elastic shell
- The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
- Koiter's shell theory from the perspective of three-dimensional nonlinear elasticity
- Isometric deformations of unstretchable material surfaces, a spatial variational treatment
- Representation for a smooth isometric mapping from a connected planar domain to a surface
- Asymptotic finite-strain thin-plate theory for elastic solids
- A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
- The Mechanics of Ribbons and Möbius Bands
- Mechanics of materially uniform thin films
- Thin Structures With Imposed Metric
- A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
- A well-posed finite-strain model for thin elastic sheets with bending stiffness
- Möbius bands, unstretchable material sheets and developable surfaces
- Classical plate buckling theory as the small‐thickness limit of three‐dimensional incremental elasticity
This page was built for publication: Shell design from planar pre-stressed structures