Thin elastic plates supported over small areas. II. Variational-asymptotic models

zbMath1462.74103arXiv1601.04912MaRDI QIDQ4604050

Giuseppe Cardone, Giusseppe Buttazzo, Sergueï A. Nazarov

Publication date: 23 February 2018

Full work available at URL: https://arxiv.org/abs/1601.04912

zbMATH Keywords

Kirchhoff plateboundary layerself-adjoint extensionelastic logarithmic potential

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Plates (74K20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (10)

Asymptotically correct boundary conditions for the higher-order theory of plate bending ⋮ Asymptotic behavior of eigenfrequencies of a thin elastic rod with non-uniform cross-Section ⋮ Pointwise fixation along the edge of a Kirchhoff plate ⋮ Unnamed Item ⋮ Homogenization of Kirchhoff plates with oscillating edges and point supports ⋮ Thin elastic plates supported over small areas. II. Variational-asymptotic models ⋮ Scalar problems in junctions of rods and a plate ⋮ Viscous fluid-thin elastic plate interaction: asymptotic analysis with respect to the rigidity and density of the plate ⋮ Propagating and standing Rayleigh waves near rivet chains connecting Kirchhoff plates ⋮ Homogenization of Kirchhoff plates joined by rivets which are modeled by the Sobolev point conditions

Cites Work

• Unnamed Item
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• Edge effect in the bending of a thin three-dimensional plate
• Zero radius interaction for the biharmonic and polyharmonic equations
• Elliptic problems in domains with piecewise smooth boundaries
• Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii
• A generalized Green's formula for elliptic problems in domains with edges
• On the rate of convergence for perforated plates with a small interior Dirichlet zone
• Self-adjoint extensions for the Neumann Laplacian and applications
• Estimates for second order derivatives of eigenvectors in thin anisotropic plates with variable thickness
• Scalar boundary value problems on junctions of thin rods and plates
• Thin elastic plates supported over small areas. I. Korn's inequalities and boundary layers
• Asymptotics of solutions and modelling the problems of elasticity theory in domains with rapidly oscillating boundaries
• The theory of extensions and explicitly-soluble models
• Asymptotic analysis of an arbitrary anisotropic plate of variable thickness (sloping shell)
• Thin elastic plates supported over small areas. II. Variational-asymptotic models
• SELFADJOINT EXTENSIONS OF THE DIRICHLET PROBLEM OPERATOR IN WEIGHTED FUNCTION SPACES
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

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