On the torsion of a class of nonlinear fiber composite cylinders

Mayue Xie, Alan J. Levy

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

This paper presents an analysis of the torsion of a solid or annular circular cylinder consisting of nonlinear material in the form of an elastic matrix with embedded unidirectional elastic fibers parallel to the cylinder axis. The specific class of composite considered is one for which nonlinear fiber-matrix interface slip is captured by uniform cohesive zones of vanishing thickness. Previous work on the effective antiplane shear response of this material leads to a stress-strain relation depending on the interface slip together with an integral equation governing its evolution. Here, we obtain an approximate single mode solution to the integral equation and utilize it to solve the torsion problem. Equations governing the radial distributions of shear stress and interface slip are obtained and formulae for torque-twist rate are presented. The existence of singular surfaces, i.e., surfaces across which the slip and the shear stress experience jump discontinuities are analyzed in detail. Specific results are presented for an interface force law that allows for interface failure in shear.

Original languageEnglish (US)
Pages (from-to)31-48
Number of pages18
JournalJournal of Elasticity
Volume75
Issue number1
DOIs
StatePublished - Apr 1 2004

Keywords

  • Bifurcation problem
  • Elasticity
  • Fiber composites
  • Interfacial debonding and decohesion
  • Singular surfaces
  • Torsion

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

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