On Saint-Venant's problem for an elastic strip

DOI10.1017/S0308210500024938zbMath0657.73003MaRDI QIDQ3806004

Alexander Mielke

Publication date: 1988

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

zbMATH Keywords

periodic solutionssmall strainscentre manifold theoremone-to-one correspondencenonlinear field equations for an infinite stripnonlinear homogeneous isotropic hyperelastic semi-infinite stripsix-dimensional manifoldstructure of finite-dimensional solution spacetwo-dimensional nonlinear rod equations

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Saint-Venant's principle (74G50) Equations in function spaces; evolution equations (58D25)

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A nonlinear model for inextensible rods as a low energy \(\varGamma\)-limit of three-dimensional nonlinear elasticity, Initial conditions for models of dynamical systems, On the justification of plate theories in linear elasticity theory using exponential decay estimates, Mode series expansions at vertical boundaries in elastic waveguides, Saint-Venant's problem and semi-inverse solutions in nonlinear elasticity, Derivation of a rod theory for multiphase materials, A Phragmén–Lindelöf principle for the equation of a surface of constant mean curvature, Hamiltonian interpretation of the Stroh formalism in anisotropic elasticity, Convergence of equilibria of thin elastic plates under physical growth conditions for the energy density, Closed form stress distribution in 2D elasticity for all boundary conditions, On the bending and twisting of rods with misfit, On the completeness of Lamb modes

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