Angular momentum in a special nonlinear elastic rod

DOI10.1007/s10659-024-10061-0MaRDI QIDQ6611169

M. B. Rubin

Publication date: 26 September 2024

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

zbMATH Keywords

hyperelastic materialstrain energytangential shear deformationCosserat rod theoryAntman modelrigid cross-section

Mathematics Subject Classification ID

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

Related Items (1)

A strain energy function for planar response of a constrained Cosserat extensible elastica with a general reference planar shape

Cites Work

• Modeling nonlinear problems in the mechanics of strings and rods. The role of the balance laws
• Exact theory of stress and strain in rods and shells
• Equivalence of a constrained Cosserat theory and Antman's special Cosserat theory of a rod
• On the theory of rods. I. Derivations from the three-dimensional equations
• On the theory of rods II. Developments by direct approach
• Nonlinear problems of elasticity
• Cosserat theories: Shells, rods and points

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