Small strain deformations of elastic beams and rods including large deflections

DOI10.1007/BF00945427zbMath0589.73039OpenAlexW2085449542MaRDI QIDQ1074374

B. George

Publication date: 1986

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00945427

zbMATH Keywords

beambendingsmall strainsrodtwistingdisplacements and rotations can be largeend loadslinear elastic behaviorown weight

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20)

Related Items (4)

Load-deformation relations in second-order elasticity ⋮ Nonlinear large deformation problem of rectangular thin plates and its perturbation solution under cylindrical bending: Transform from plate/membrane to beam/cable ⋮ Series representations for the rectification of a superhelix ⋮ Displacement of slender axisymmetric bodies: A convenient change of basis

Cites Work

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• A Consistent Theory for Elastic Deformations With Small Strains
• Recent Developments Concerning Saint-Venant's Principle
• Elastic Deformations of Strips and Circular Plates Under Uniform Pressure
• The Role of Saint Venant’s Solutions in Rod and Beam Theories
• An Energy Method for Certain Second-Order Effects With Application to Torsion of Elastic Bars Under Tension

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