Asymptotically sharp weight korn's inequality for thin-walled elastic structures

DOI10.1007/s10958-008-0098-9zbMath1202.74061OpenAlexW2075362927MaRDI QIDQ613718

O. V. Izotova, Guido Sweers, Sergueï A. Nazarov

Publication date: 21 December 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-008-0098-9

Mathematics Subject Classification ID

Saint-Venant's principle (74G50) A priori estimates in context of PDEs (35B45) PDEs in connection with mechanics of deformable solids (35Q74) Junctions (74K30)

Related Items (1)

Korn inequalities for a reinforced plate

Cites Work

• Asymptotics of solutions to the elasticity-theoretic problem for a three-dimensional body with thin branches
• Solvability in the small of nonstationary problems for incompressible ideal and viscous fluids and the case of vanishing viscosity
• On the junction of elastic plates and beams
• On the boundary-value problems of the theory of elasticity and Korn's inequality
• Fields in Non-Degenerate 1D-3D Elastic Multi-Structures
• Korn's Inequalities for Junctions of Spatial Bodies and Thin Rods
• Asymptotic analysis of an arbitrary anisotropic plate of variable thickness (sloping shell)
• Global attractor of a contact parabolic problem in a thin two-layer domain
• Homogenization of elasticity problems on singular structures
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