Constrained theories of rods

DOI10.1007/BF00125605zbMath0558.73042OpenAlexW2084422775MaRDI QIDQ802364

P. M. Naghdi, M. B. Rubin

Publication date: 1984

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00125605

zbMATH Keywords

transverse shear deformationclass of constrained theoriesCosserat curvegeneral nonlinear theory of rodsnormal cross-sectional extensionone-dimensional continuum model

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Theory of constitutive functions in solid mechanics (74A20) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx)

Related Items (17)

Variational theory for spatial rods ⋮ Some Remarks on Invariance Requirements for Constrained Rods ⋮ A properly invariant theory of small deformations superposed on large deformations of an elastic rod ⋮ On a planar theory of a discrete nonlinearly elastic rod ⋮ A Cosserat point element (CPE) for the numerical solution of transient large planar motions of elastic-plastic and elastic-viscoplastic beams ⋮ General theory for plane extensible elastica with arbitrary undeformed shape ⋮ New classes of traveling waves in a planar Kirchhoff beam with nonlinear bending stiffness ⋮ Extension of non-linear beam models with deformable cross sections ⋮ Review and perspectives in applied mechanics of axially moving flexible structures ⋮ Cylindrical element: isogeometric model of continuum rod ⋮ Statically and kinematically exact nonlinear theory of rods and its numerical verification ⋮ A further work on directed rods ⋮ Variational theory of motion of curved, twisted and extensible elastic rods ⋮ On the derivation of constitutive relations for Cosserat continuum description of structural elements and materials with microstructure ⋮ Variational principle for a special Cosserat rod ⋮ Controllable deformations of elastic spatial rods ⋮ Finite element formulations for constrained spatial nonlinear beam theories

Cites Work

• On the applicability of directed fluid jets to Newtonian and non-Newtonian flows
• A linear theory of straight elastic rods
• On the theory of rods II. Developments by direct approach

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