On Saint-Venant's principle in three-dimensional nonlinear elasticity

DOI10.1007/BF00280605zbMath0351.73060MaRDI QIDQ1235547

Shlomo Breuer, Joseph J. Roseman

Publication date: 1977

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Related Items (13)

Phragmén-Lindelöf decay theorems for classes of nonlinear Dirichlet problems in a circular cylinder ⋮ Exponential decay estimates for solutions of the von Kármán equations on a semi-infinite strip ⋮ The effect of nonlinearity on a principle of Saint-Venant type ⋮ Normal hyperbolicity of center manifolds and Saint-Venant's principle ⋮ On Saint-Venant's problem for an elastic strip ⋮ On the asymptotic behaviour at infinity of solutions of the traction boundary value problem ⋮ On Saint-Venant's principle in finite anti-plane shear: An energy approach ⋮ Saint-Venant's principle in linear two-dimensional elasticity for non- striplike domains ⋮ Exponential decay estimates for a class of nonlinear Dirichlet problems ⋮ 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 ⋮ A Saint-Venant principle for nonlinear elasticity ⋮ Asymptotic behaviour in the nonlinear elastic beam

Cites Work

• Unnamed Item
• On a bound for deformations in terms of strains in an elastic cylinder
• On Knowles' version of Saint-Venant's principle in two-dimensional elastostatics
• The principle of Saint-Venant in linear and non-linear plane elasticity
• Noncommutative superpositions for nonlinear operators
• Saint-Venant's principle
• On Sait-Venant's principle in linear viscoelasticity
• Superpositions for nonlinear operators. II: Generalized affine operators

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