Gaussian curvature as an identifier of shell rigidity

DOI10.1007/s00205-017-1143-yzbMath1374.35400arXiv1606.03613OpenAlexW2428515191MaRDI QIDQ1675112

Davit Harutyunyan

Publication date: 26 October 2017

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.03613

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Bifurcation and buckling (74G60) 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 ⋮ The mathematics of thin structures ⋮ Optimal exponentials of thickness in Korn's inequalities for parabolic and elliptic shells ⋮ Isometric deformations of surfaces of translation ⋮ 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 ⋮ 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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