An exact solution in a nonlinear theory of rods

DOI10.1007/BF00048610zbMath0295.73052OpenAlexW2064612013MaRDI QIDQ1213337

A. B. Whitman, Carl N. DeSilva

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1007/bf00048610

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Polar materials (74A35)

Related Items

Variational theory for spatial rods, Self-shaping of bioinspired chiral composites, Homogeneous monotropic elastic rods: Normal uniform configurations and universal solutions, Mechanical response of twisted multifilament artificial muscles upon thermal actuation, Some observations on variational elasticity and its application to plates and membranes, On an elastic strain-limiting special Cosserat rod model, Dilation-invariant bending of elastic plates, and broken symmetry in shells, Energies for elastic plates and shells from quadratic-stretch elasticity, Large buckled states of nonlinearly elastic rods under torsion, thrust, and gravity, Helices, Kirchhoff's problem of helical equilibria of uniform rods, A mathematical model of the spine based on mixture theory of directed curves, A simple finite element for the geometrically exact analysis of Bernoulli-Euler rods, Global solutions to the cylindrically symmetric rotating motion of isentropic gases, Controllable deformations of elastic spatial rods, Quadratic-stretch elasticity

Cites Work

• Exact theory of stress and strain in rods and shells
• A linear theory of straight elastic rods
• Large deformations, superposed small deformations and stability of elastic rods
• A dynamical theory of elastic directed curves
• Dynamics and stability of elastic Cosserat curves
• Simpler static problems in nonlinear theories of rods
• Stability in a linear theory of elastic rods
• Thermodynamical Theory of Directed Curves