A one-dimensional model of 3-D structure for large deformation: a general higher-order rod theory

DOI10.1007/s00707-017-2048-4zbMath1390.74109OpenAlexW2780886449MaRDI QIDQ1640348

J. N. Reddy, A. Arbind

Publication date: 14 June 2018

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-017-2048-4

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Kinematics of deformation (74A05)

Cites Work

• Non-linear dynamic intertwining of rods with self-contact
• A generalized computational approach to stability of static equilibria of nonlinearly elastic rods in the presence of constraints
• Exact theory of stress and strain in rods and shells
• A geometrically-exact rod model incorporating shear and torsion-warping deformation
• A finite strain beam formulation. The three-dimensional dynamic problem. I
• A three-dimensional finite-strain rod model. II. Computational aspects
• A general higher-order one-dimensional model for large deformation analysis of solid bodies
• Nonlinear dynamics and loop formation in Kirchhoff rods with implications to the mechanics of DNA and cables
• 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

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