A properly invariant theory of small deformations superposed on large deformations of an elastic rod

DOI10.1007/BF00043412zbMath0829.73039OpenAlexW2025399029MaRDI QIDQ1899744

Oliver M. O'Reilly

Publication date: 25 January 1996

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

Full work available at URL: https://doi.org/10.1007/bf00043412

zbMATH Keywords

balance lawslinear theoryinvariant theoryresponse functionskinematical constraintsCosserat theory

Mathematics Subject Classification ID

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

Related Items (3)

Some Remarks on Invariance Requirements for Constrained Rods ⋮ A properly invariant theory of infinitesimal deformations of an elastic Cosserat point ⋮ A generalized formulation of elastodynamics: small on rigid

Cites Work

• Constrained theories of rods
• Physically nonlinear and related approximate theories of elasticity, and their invariance properties
• A theory of shells with small strain accompanied by moderate rotation
• A finite strain beam formulation. The three-dimensional dynamic problem. I
• On finite deformations of space-curved beams
• An invariant infinitesimal theory of motions superposed on a given motion
• A note on invariance under superposed rigid body motions
• Small strain accompanied by moderate rotation
• Large deformations, superposed small deformations and stability of elastic rods
• Thermodynamics of a continuum with internal constraints
• Kirchhoff’s problem for nonlinearly elastic rods
• On the theory of rods. I. Derivations from the three-dimensional equations
• On the theory of rods II. Developments by direct approach

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