A hint on the localization of the buckling deformation at vanishing curvature points on thin elliptic shells
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Publication:2108063
DOI10.1007/s10659-022-09954-9zbMath1502.74068arXiv2104.11853OpenAlexW3157383660MaRDI QIDQ2108063
Publication date: 19 December 2022
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.11853
Nonlinear boundary value problems for linear elliptic equations (35J65) Classical linear elasticity (74B05) Nonlinear elasticity (74B20) Bifurcation and buckling (74G60) Shells (74K25)
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Cites Work
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- The flip side of buckling
- New integral estimates for deformations in terms of their nonlinear strains
- Gaussian curvature as an identifier of shell rigidity
- Korn inequalities for shells with zero Gaussian curvature
- Rigorous derivation of the formula for the buckling load in axially compressed circular cylindrical shells
- On the boundary-value problems of the theory of elasticity and Korn's inequality
- Optimal exponentials of thickness in Korn's inequalities for parabolic and elliptic shells
- Korn-Poincare inequalities for functions with a small jump set
- Asymptotic Methods in the Buckling Theory of Elastic Shells
- A new model for thin plates with rapidly varying thickness. II. A convergence proof
- On the Korn Interpolation and Second Inequalities in Thin Domains
- A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
- Korn’s Inequalities and Their Applications in Continuum Mechanics
- Mathematical Problems in Thin Elastic Sheets: Scaling Limits, Packing, Crumpling and Singularities
- Scaling instability in buckling of axially compressed cylindrical shells
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