Optimal exponentials of thickness in Korn's inequalities for parabolic and elliptic shells

DOI10.1007/s10231-020-01000-6zbMath1460.74059arXiv1807.11114OpenAlexW3036317492MaRDI QIDQ2658528

Peng-Fei Yao

Publication date: 23 March 2021

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.11114

zbMATH Keywords

asymptotic expansionRiemannian geometrynonlinear elasticityinterpolation inequalityBochner method

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Shells (74K25) Applications of differential geometry to physics (53Z05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

Lower bounds of optimal exponentials of thickness in geometry rigidity inequality for shells ⋮ The mathematics of thin structures ⋮ Strain Tensors and Matching Property on Degenerated Hyperbolic Surfaces ⋮ A hint on the localization of the buckling deformation at vanishing curvature points on thin elliptic shells

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