Laminated composite tubes under extension, torsion, bending, shearing and pressuring: A state space approach

Jiann Quo Tarn, Yung Ming Wang

Research output: Contribution to journalArticlepeer-review

85 Citations (Scopus)

Abstract

We present a state space approach to extension, torsion, bending, shearing and pressuring of laminated composite tubes. One of the novel features is that we have formulated the basic equations of anisotropic elasticity in the cylindrical coordinate system into a state equation by a judicious arrangement of the displacement and stress variables so that the system matrix is independent of r. The formulation suggests a systematic way using matrix algebra and the transfer matrix to determine the stress and deformation in a multilayered cylindrically anisotropic tube under applied loads that do not vary in the axial direction. An exact analysis of the tube subjected to uniform surface tractions, an axial force, a torque and bending moments is presented. The solution consists of an axisymmetric state due to extension, torsion, uniform pressuring and shearing, and an asymmetric state due to bending. The formalism indicates that extension, torsion and pressuring interact; uniform shearing causes pure shears in the laminated tube, regardless of the number of layers. These deformations are uncoupled with bending of the tube.

Original languageEnglish
Pages (from-to)9053-9075
Number of pages23
JournalInternational Journal of Solids and Structures
Volume38
Issue number50-51
DOIs
Publication statusPublished - 2001 Nov 30

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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