Pretwisted beam subjected to thermal loads: A gradient thermoelastic analogue

Alexis Kordolemis, Antonios E. Giannakopoulos, Nikolaos Aravas

Research output: Contribution to journalArticle (Academic Journal)peer-review

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Abstract

It is well known from the classical torsion theory that the cross section of a
prismatic beam subjected to end torsional moments will rotate and warp in
the longitudinal direction. Rotation is depicted through the angle of twist per
unit length and depends in general on the position along the length of the
beam, while the warping function addresses the longitudinal distortion of the
unrotated cross sections. In the present study, we consider a prismatic beam
that possesses an initial twist which is constant along its length. A thermal
field is present along the beam and its ends are loaded with axial forces
and torsional moments. The governing equilibrium equations and the corresponding
boundary conditions were obtained using an energy variational
statement. A one-dimensional gradient thermoelastic analogue is developed.
The advantageous aspect of the present study is that the additional (and
peculiar) boundary conditions required by the gradient elasticity theory and
the related microstructural lengths, analogous to micromechanical lengths,
emerge in a natural way from the geometrical characteristics of the beam cross
section and the material properties. We have examined various examples with
different cross sections and loads to demonstrate the applicability of the model
to the design of special yarns useful in smart textiles and thermally activated
microdrilling actuators.

Original languageEnglish
Number of pages23
JournalJournal of Thermal Stresses
DOIs
Publication statusPublished - 13 Apr 2017

Keywords

  • pretwisted beam
  • gradient thermoelasticity
  • thermal load
  • micro-drilling
  • actuators
  • yarns
  • ropes

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