On end rotation for open rods undergoing large deformations

DOI10.1090/S0033-569X-07-01049-XzbMath1208.74077MaRDI QIDQ5441945

Robert Planqué, Mark Adriaan Peletier, G. H. M. Van Der Heijden

Publication date: 15 February 2008

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.ams.org/journals/qam/2007-65-02/S0033-569X-07-01049-X/home.html

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Biomechanical solid mechanics (74L15) Variational principles of physics (49S05)

Related Items (2)

Self-contact for rods on cylinders ⋮ On the dynamics of the eye: geodesics on a configuration manifold, motions of the gaze direction and Helmholtz's theorem

Cites Work

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• Self-contact for rods on cylinders
• Geometry and mechanics of uniform \(n\)-plies: From engineering ropes to biological filaments
• Physical approaches to the study of DNA
• The static deformation of a twisted elastic rod constrained to lie on a cylinder
• Quantal phase factors accompanying adiabatic changes
• The ambiguous twist of Love
• Decomposition of the linking number of a closed ribbon: A problem from molecular biology
• On Comparing the Writhe of a Smooth Curve to the Writhe of an Inscribed Polygon
• FORMULAE FOR THE CALCULATION AND ESTIMATION OF WRITHE
• Self-Linking and the Gauss Integral in Higher Dimensions
• The Writhing Number of a Space Curve

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