Mechanical and thermal couplings in helical strands*

Dansong Zhang, Martin Ostoja Starzewski, Loïc Le Marrec

Research output: Contribution to journalArticle

Abstract

A generalized Timoshenko rod model is developed for helical strands and helically reinforced cylinders. The thermomechanical constitutive law has five effective elastic moduli, and two thermal coefficients, which can be obtained with the finite element method, or partly from analytic solutions. The model predicts nonclassical bending and thermoelastic behavior of helical strands. First, bending–shearing coupling is explicitly captured, which leads to non-planar bending under a transverse shear force, or a bending moment. Second, torsion and thermal expansion are coupled due to structural chirality. The dispersion relation of harmonic thermoelastic waves is governed by four non-dimensional parameters: two thermoelastic coupling constants, one chirality parameter and the Fourier number. The quasi-longitudinal and the quasi-torsional waves (“quasi” meaning the longitudinal mode is always coupled with a small torsional motion, and vice versa, due to chirality) are dispersive and damped, and dependent on temperature. The adiabatic-isothermal transition of the wave propagation is determined by the Fourier number.

Original languageEnglish (US)
Pages (from-to)185-212
Number of pages28
JournalJournal of Thermal Stresses
Volume42
Issue number1
DOIs
StatePublished - Jan 2 2019

Fingerprint

Chirality
chirality
strands
bending moments
expansion
Elastic waves
Bending moments
Torsional stress
Wave propagation
torsion
Thermal expansion
thermal expansion
wave propagation
modulus of elasticity
finite element method
rods
Elastic moduli
shear
harmonics
Finite element method

Keywords

  • Helix
  • Timoshenko rod model
  • adiabatic-isothermal transition
  • bending-shearing coupling
  • chirality
  • helical strand
  • thermoelastic coupling

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics

Cite this

Mechanical and thermal couplings in helical strands*. / Zhang, Dansong; Starzewski, Martin Ostoja; Le Marrec, Loïc.

In: Journal of Thermal Stresses, Vol. 42, No. 1, 02.01.2019, p. 185-212.

Research output: Contribution to journalArticle

Zhang, Dansong ; Starzewski, Martin Ostoja ; Le Marrec, Loïc. / Mechanical and thermal couplings in helical strands*. In: Journal of Thermal Stresses. 2019 ; Vol. 42, No. 1. pp. 185-212.
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