Saint-Venant End Effects in Antiplane Shear for Functionally Graded Linearly Elastic Materials

DOI10.1177/108128650100600201zbMath1060.74023OpenAlexW2157541240MaRDI QIDQ4789768

Cornelius O. Horgan, Ramón Quintanilla

Publication date: 14 April 2003

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/108128650100600201

zbMATH Keywords

shear moduluslow bound on decay rate

Mathematics Subject Classification ID

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

Related Items (14)

On the deformation of functionally graded porous elastic cylinders ⋮ Decay rates of Saint-Venant type for functionally graded heat-conducting materials ⋮ On the torsion of inhomogeneous and anisotropic bars ⋮ 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 ⋮ On the deformation of inhomogeneous orthotropic elastic cylinders ⋮ 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 ⋮ A note on the spatial behavior for the generalized Tricomi equation ⋮ Elastic solutions of the end problem for a nonhomogeneous semi-infinite strip in anti-plane shear ⋮ On Saint-Venant's Principle for an Inhomogeneous Curvilinear Rectangle ⋮ Saint-Venant decay rates for an anisotropic and non-homogeneous mixture of elastic solids in anti-plane shear ⋮ On the deformation of orthotropic Cosserat elastic cylinders ⋮ On Saint-Venant's principle for a linear poroelastic material in plane strain

Cites Work

• Unnamed Item
• End effects in anti-plane shear for an inhomogeneous isotropic linearly elastic semi-infinite strip
• On the asymptotic behavior of solutions of linear second-order boundary- value problems on a semi-infinite strip
• Saint-Venant decay rates for an isotropic inhomogeneous linearly elastic solid in anti-plane shear
• Anti-Plane Shear Deformations in Linear and Nonlinear Solid Mechanics

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