The effect of nonlinearity on a principle of Saint-Venant type

DOI10.1007/BF00041940zbMath0463.73007OpenAlexW1996870654MaRDI QIDQ1153706

James K. Knowles, Cornelius O. Horgan

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1007/bf00041940

zbMATH Keywords

cylinderfinite anti-plane shearcross-section is semi-infinite striphomogeneous, isotropic incompressible materialslower bound for rate of decay

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Saint-Venant's principle (74G50)

Related Items (14)

Phragmén-Lindelöf decay theorems for classes of nonlinear Dirichlet problems in a circular cylinder ⋮ Center manifolds without a phase space for quasilinear problems in elasticity, biology, and hydrodynamics ⋮ Saint-Venant problem for solids with helical anisotropy ⋮ Exponential decay estimates for solutions of the von Kármán equations on a semi-infinite strip ⋮ Spatial decay estimates for second order partial differential equations ⋮ On Saint-Venant's principle in micropolar elasticity ⋮ Broadening Global Families of Anti-Plane Shear Equilibria ⋮ On the asymptotic behaviour at infinity of solutions of the traction boundary value problem ⋮ From an adhesive to a brittle delamination model in thermo-visco-elasticity ⋮ On Saint-Venant's principle in finite anti-plane shear: An energy approach ⋮ Decay estimates for second-order quasilinear partial differential equations ⋮ Material tailoring and universal relations for axisymmetric deformations of functionally graded rubberlike cylinders and spheres ⋮ Saint-Venant's principle in nonlinear plane elasticity with sufficiently small strains ⋮ Asymptotic behaviour in the nonlinear elastic beam

Cites Work

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• Exponential decay estimates for a class of nonlinear Dirichlet problems
• On Saint-Venant's principle in three-dimensional nonlinear elasticity
• A note on the spatial decay of a minimal surface over a semi-infinite strip
• Exponential decay estimates for second-order quasi-linear elliptic equations
• Maximum principles and pointwise error estimates for torsion of shells of revolution
• The rate of decay of a minimal surface defined over a semiinfinite strip
• The principle of Saint-Venant in linear and non-linear plane elasticity
• A two-dimensional Saint-Venant principle for second-order linear elliptic equations
• Elliptic Partial Differential Equations of Second Order
• On finite anti-plane shear for imcompressible elastic materials

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