Saint-Venant decay rates for an isotropic inhomogeneous linearly elastic solid in anti-plane shear

DOI10.1023/A:1007408204283zbMath0912.73010OpenAlexW375481942MaRDI QIDQ1390785

M. R. Scalpato, Cornelius O. Horgan

Publication date: 25 May 1999

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1007408204283

zbMATH Keywords

eigenvalue optimizationboundary value problemsSturm-Liouville problemfunctionally graded materialssmallest positive eigenvaluematerial tailoringsecond-order linear elliptic partial differential equation with variable coefficients on semi-infinite strip

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Saint-Venant's principle (74G50)

Related Items (10)

Saint-Venant End Effects in Antiplane Shear for Functionally Graded Linearly Elastic Materials ⋮ Torsion of cylindrically orthotropic elastic circular bars with radial inhomogeneity: some exact solutions and end effects ⋮ Decay rates of Saint-Venant type for functionally graded heat-conducting materials ⋮ Lower bounds of end effects for a nonhomogeneous isotropic linear elastic solid in anti-plane shear ⋮ Saint-Venant end effects in the plane problem for linearly elastic functionally graded materials ⋮ Decay rates of Saint-Venant type for a functionally graded heat-conducting hollowed cylinder ⋮ End effects for a generalized biharmonic equation with applications to functionally graded materials ⋮ Elastic solutions of the end problem for a nonhomogeneous semi-infinite strip in anti-plane shear ⋮ Saint-Venant decay rates for an anisotropic and non-homogeneous mixture of elastic solids in anti-plane shear ⋮ On Saint-Venant's principle for a linear poroelastic material in plane strain

This page was built for publication: Saint-Venant decay rates for an isotropic inhomogeneous linearly elastic solid in anti-plane shear