On state-space elastostatics within a plane stress sectorial domain -- the wedge and the curved beam

DOI10.1016/j.ijsolstr.2008.05.023zbMath1361.74016OpenAlexW2054988764MaRDI QIDQ835918

Neil G. Stephen

Publication date: 31 August 2009

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://eprints.soton.ac.uk/64126/1/Step_08a.pdf

zbMATH Keywords

Saint-Venant's principlereciprocal theoremsymplectic orthogonalityeigenvalue degeneracywedge paradox

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Classical linear elasticity (74B05) Saint-Venant's principle (74G50)

Cites Work

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• Hamiltonian system and symplectic geometry in mechanics of composite materials. I: Fundamental theory
• A state space approach to elasticity
• The Saint-Venant problem and principle in elasticity
• Renormalisation group theory for two problems in linear continuum mechanics
• Saint-Venant's principle and the plane elastic wedge
• Transition from Airy stress function to state space formulation of elasticity
• Plane elasticity in sectorial domain and the Hamiltonian system
• Hamiltonian systems in elasticity and their variational principles
• Saint-Venant's principle
• State space elastostatics of prismatic structures
• A Restudy of the Paradox on an Elastic Wedge Based on the Hamiltonian System
• A Paradox on the Elastic Wedge Subjected to a Concentrated Couple and on the Jeffery-Hamel Viscous Flow Problem
• Decay Rates for the Plane Curved Beam
• Physical interpretation of the symplectic orthogonality of the eigensolutions of a hamiltonian or symplectic matrix
• The problem of Saint Venant for a cylinder with free sides

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