Affordable Access

Publisher Website

Elastic cylinder with helicoidal orthotropy: Theory and applications

Authors
Journal
International Journal of Engineering Science
0020-7225
Publisher
Elsevier
Publication Date
Volume
47
Issue
1
Identifiers
DOI: 10.1016/j.ijengsci.2008.06.017
Keywords
  • Anisotropic Elasticity
  • Laminated Cylinder
  • Helicoidal Orthotropy
  • Spiralling Grains
  • Biomechanics
  • Structural Optimization

Abstract

Abstract The elasticity equations are derived for a helicoidally symmetric cylinder. An isotropic cylinder in the center is wrapped by a thick layer of a material with helicoidal anisotropy formed by spiraling of fibers around the core. Such structures are seen in springs, armored cables, trusses, composites, and biostructures. Structure under axial loading and pure bending are considered. The analytical expressions for displacements are obtained from equations of three-dimensional elasticity. The results are verified numerically via the finite element method. The stiffness matrix for an equivalent simplified model that links the displacements of the ends with the applied force and momentum is formulated. A coupling effect is revealed: the bar twists and elongates when axially loaded. The developed technique is used to explain an evolution of structure in nature. A pine trunk with spiralling grain is investigated from an optimization of a mechanical construction viewpoint. We model the trunk as an anisotropic cylinder with helicoidal symmetry and compute the displacements and stresses using nonlinear finite element model. An optimized spiralling angle of the grains accounts for a composite failure, transverse deflection, and fluid transportation. We suggest a combined criterion that could explain this spiralling morphology.

There are no comments yet on this publication. Be the first to share your thoughts.

Statistics

Seen <100 times
0 Comments

More articles like this

Green's tensor for an elastic cylinder and its app...

on Journal of Applied Mathematics... Jan 01, 1996

On the Theory of the Tension of an Elastic Cylinde...

on Proceedings of the National Ac... Dec 15, 1944

Multiple scattering by cylinders immersed in fluid...

on The Journal of the Acoustical... January 2011

Elastic plate in gas flow: Reducing from anisotrop...

on Journal of the Franklin Instit... Jan 01, 1998
More articles like this..