A Naghdi type nonlinear model for shells with little regularity
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Publication:2224466
DOI10.1007/s10659-020-09802-8zbMath1456.74118OpenAlexW3109144723MaRDI QIDQ2224466
Publication date: 3 February 2021
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10659-020-09802-8
Nonlinear elasticity (74B20) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Energy minimization in equilibrium problems in solid mechanics (74G65) Shells (74K25) Membranes (74K15)
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Cites Work
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- A new linear shell model for shells with little regularity
- On drilling degrees of freedom
- The Kirchhoff theory for elastic pre-strained shells
- The matching property of infinitesimal isometries on elliptic surfaces and elasticity of thin shells
- Existence theorem for geometrically nonlinear Cosserat micropolar model under uniform convexity requirements
- Local symmetry group in the general theory of elastic shells
- A justification of nonlinear properly invariant plate theories
- On the justification of the nonlinear inextensional plate model
- Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence.
- Variational convergence for nonlinear shell models with directors and related semicontinuity and relaxation results
- Shells without drilling rotations: a representation theorem in the framework of the geometrically nonlinear 6-parameter resultant shell theory
- Polyconvexity and existence theorem for nonlinearly elastic shells
- A nonlinear shell model of Koiter's type
- Asymptotic justification of the intrinsic equations of Koiter's model of a linearly elastic shell
- On structured surfaces with defects: geometry, strain incompatibility, stress field, and natural shapes
- Nagdhi's shell model: Existence, uniqueness and continuous dependence on the midsurface
- The membrane shell model in nonlinear elasticity: A variational asymptotic derivation
- The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
- Koiter's shell theory from the perspective of three-dimensional nonlinear elasticity
- A new linear Naghdi type shell model for shells with little regularity
- Existence theorem for a first-order Koiter nonlinear shell model
- Nonlinear shell models of Kirchhoff-Love type: existence theorem and comparison with Koiter's model
- Confining thin elastic sheets and folding paper
- A geometrically exact Cosserat shell model for defective elastic crystals. Justification via \(\Gamma\)-convergence
- A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
- Asymptotic analysis of linearly elastic shells. III: Justification of Koiter's shell equations
- A geometrically exact Cosserat shell-model including size effects, avoiding degeneracy in the thin shell limit. I: Formal dimensional reduction for elastic plates and existence of minimizers for positive Cosserat couple modulus
- An Up-to-the Boundary Version of Friedrichs's Lemma and Applications to the Linear Koiter Shell Model
- Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations
- A note on convergence of low energy critical points of nonlinear elasticity functionals, for thin shells of arbitrary geometry
- Scaling laws for non-Euclidean plates and theW2,2isometric immersions of Riemannian metrics
- A simplified model for elastic thin shells
- An intrinsic formulation of the Kirchhoff–Love theory of linearly elastic plates
- Rigorous Derivation of Föppl’s Theory for Clamped Elastic Membranes Leads to Relaxation
- Numerical assessment of some membrane elements with drilling degrees of freedom
- Existence and uniqueness for the linear Koiter model for shells with little regularity
- Un modèle bi-dimensionnel non linéaire de coque analogue à celui de W.T. Koiter
- Thin Structures With Imposed Metric
- An existence theorem for a two-dimensional nonlinear shell model of Koiter’s type
- WELL-POSEDNESS FOR KOITER AND NAGHDI SHELLS WITH A G1-MIDSURFACE
- A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
- The infinitesimal rigid displacement lemma in Lipschitz co-ordinates and application to shells with minimal regularity
- The quasiconvex envelope of the Saint Venant–Kirchhoff stored energy function
- The Infinite Hierarchy of Elastic Shell Models: Some Recent Results and a Conjecture
- Shell theories arising as low energy Gamma-limit of 3d nonlinear elasticity
- Large elastic deformation of micromorphic shells. Part I: Variational formulation
- Refined dimensional reduction for isotropic elastic Cosserat shells with initial curvature
- Existence theorem for nonlinear micropolar elasticity
- A GEOMETRICALLY EXACT PLANAR COSSERAT SHELL-MODEL WITH MICROSTRUCTURE: EXISTENCE OF MINIMIZERS FOR ZERO COSSERAT COUPLE MODULUS
- Nonlinear bending-torsion model for curved rods with little regularity
- Nonlinear problems of elasticity
- Direct methods in the calculus of variations
- Justification of a two-dimensional nonlinear shell model of Koiter's type
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