On the asymptotic behaviour at infinity of solutions of the traction boundary value problem

DOI10.1017/S0308210500024999zbMath0675.73012OpenAlexW2128482497MaRDI QIDQ3830615

B. Orazov

Publication date: 1989

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500024999

zbMATH Keywords

star-shaped domainsKorn's inequalities``slightly nonlinear elastic materialgeneralization of Saint- Venant's principleself-equilibrating distribution of forcessemi-infinite non-prismatic cylinderstress-free lateral sides

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elasticity (74B20) Saint-Venant's principle (74G50)

Related Items (2)

Energy bounds in dynamical problems for a semi-infinite magnetoelastic beam ⋮ Normal hyperbolicity of center manifolds and Saint-Venant's principle

Cites Work

• A Saint-Venant principle for nonlinear elasticity
• The effect of nonlinearity on a principle of Saint-Venant type
• On the asymptotic behaviour at infinity of solutions in linear elasticity
• On Saint-Venant's principle in three-dimensional nonlinear elasticity
• Convexity conditions and existence theorems in nonlinear elasticity
• Saint-Venant's principle in nonlinear plane elasticity with sufficiently small strains
• Saint-Venant's principle
• On Singular Integrals
• Recent Developments Concerning Saint-Venant's Principle

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