Korn inequality for a thin rod with rounded ends

DOI10.1002/mma.2990zbMath1305.74050OpenAlexW1972675166MaRDI QIDQ2931041

Andrey S. Slutskij, Jari Taskinen, Sergueï A. Nazarov

Publication date: 21 November 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2990

zbMATH Keywords

weighted Sobolev spacethin domainrodKorn inequality

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Classical linear elasticity (74B05) Regularity of solutions of equilibrium problems in solid mechanics (74G40) Variational methods for second-order elliptic equations (35J20) PDEs in connection with mechanics of deformable solids (35Q74) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (2)

Asymptotics of the spectrum of the mixed boundary value problem for the Laplace operator in a thin spindle-shaped domain ⋮ Asymptotic behavior of the eigenfrequencies of a thin elastic rod with non-uniform cross-section of extremely oblate shape

Cites Work

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• One-dimensional equations of deformation of thin slightly curved rods. Asymptotical analysis and justification
• Spectra of Two-Dimensional Models for Thin Plates with Sharp Edges
• ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE

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