Korn inequalities for shells with zero Gaussian curvature
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Publication:1692734
DOI10.1016/j.anihpc.2017.04.004zbMath1395.74056arXiv1602.03601OpenAlexW2964164378MaRDI QIDQ1692734
Yury Grabovsky, Davit Harutyunyan
Publication date: 10 January 2018
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.03601
Nonlinear elasticity (74B20) Shells (74K25) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (15)
Lower bounds of optimal exponentials of thickness in geometry rigidity inequality for shells ⋮ Optimal exponentials of thickness in Korn's inequalities for parabolic and elliptic shells ⋮ Gaussian curvature as an identifier of shell rigidity ⋮ The asymptotically sharp geometric rigidity interpolation estimate in thin bi-Lipschitz domains ⋮ On the geometric rigidity interpolation estimate in thin bi-Lipschitz domains ⋮ The Sharp $L^p$ Korn Interpolation and Second Inequalities in Thin Domains ⋮ Rigidity of a thin domain depends on the curvature, width, and boundary conditions ⋮ The asymptotically sharp Korn interpolation and second inequalities for shells ⋮ Sharp weighted Korn and Korn-like inequalities and an application to washers ⋮ Strain tensors on hyperbolic surfaces and their applications ⋮ On the Korn Interpolation and Second Inequalities in Thin Domains ⋮ Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy ⋮ Weighted asymptotic Korn and interpolation Korn inequalities with singular weights ⋮ A hint on the localization of the buckling deformation at vanishing curvature points on thin elliptic shells ⋮ The buckling load of cylindrical shells under axial compression depends on the cross-sectional curvature
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