Asymptotic analysis of an arbitrary anisotropic plate of variable thickness (sloping shell)
From MaRDI portal
Publication:4523922
DOI10.1070/SM2000v191n07ABEH000495zbMath0988.74042OpenAlexW2033324872MaRDI QIDQ4523922
Publication date: 7 May 2001
Published in: Sbornik: Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm2000v191n07abeh000495
anisotropylaminated platesshallow shellsthin plateweighted Korn inequalityleading terms of asymptoticsplates with sharp edges
Anisotropy in solid mechanics (74E10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Shells (74K25)
Related Items (17)
Asymptotic analysis of 3D thin anisotropic plates with a piezoelectric patch ⋮ Asymptotically sharp weight korn's inequality for thin-walled elastic structures ⋮ A homotopy-based wavelet method for extreme large bending analysis of heterogeneous anisotropic plate with variable thickness on orthotropic foundation ⋮ Constructing a trapped mode at low frequencies in an elastic waveguide ⋮ Approximation of thin three-dimensional plates with smooth lateral surface by polygonal plates ⋮ Homogenization of Kirchhoff plates with oscillating edges and point supports ⋮ Threshold resonances and virtual levels in the spectrum of cylindrical and periodic waveguides ⋮ Asymptotics of eigen-oscillations of a massive elastic body with a thin baffle ⋮ An optimization problem for the biharmonic equation with Sobolev conditions ⋮ Asymptotic analysis and modeling of the jointing of a massive body with thin rods ⋮ Thin elastic plates supported over small areas. II. Variational-asymptotic models ⋮ ‘Blinking’ and ‘gliding’ eigenfrequencies of oscillations of elastic bodies with blunted cuspidal sharpenings ⋮ Asymptotics of the solution of the problem of deformation of an arbitrary locally periodic thin plate ⋮ Estimates for second order derivatives of eigenvectors in thin anisotropic plates with variable thickness ⋮ A criterion for the existence of the essential spectrum for beak-shaped elastic bodies ⋮ Two-dimensional hierarchical models for prismatic shells with thickness vanishing at the boundary ⋮ The weighted Korn's inequality for an arbitrary plate
This page was built for publication: Asymptotic analysis of an arbitrary anisotropic plate of variable thickness (sloping shell)