On the restrictions imposed by non-affine material symmetry groups for elastic rods: Application to helical substructures

DOI10.1016/j.euromechsol.2006.10.003zbMath1113.74041OpenAlexW1967693469MaRDI QIDQ885984

Todd A. Lauderdale, Oliver M. O'Reilly

Publication date: 14 June 2007

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2006.10.003

zbMATH Keywords

strain-energy functionCosserat rodpolar elastic continua

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Polar materials (74A35)

Related Items (1)

Buckling of chiral rods due to coupled axial and rotational growth

Cites Work

• The symmetry group of gradient sensitive fluids
• The attitudes of constant angular velocity motions
• Symmetry considerations for materials of second grade
• On the theory of rods II. Developments by direct approach
• Elastic surface—substrate interactions
• Material Symmetry and Chirality in Nonlinearly Elastic Rods
• A Universal Relation Characterizing Transversely Hemitropic Hyperelastic Materials
• Nonlinear problems of elasticity
• On the material symmetry of elastic rods
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