Large deflection of 3D curved rods: An objective formulation with principal axes transformations

Yılmaz M. , Omurtag M. H.

COMPUTERS & STRUCTURES, vol.163, pp.71-82, 2016 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 163
  • Publication Date: 2016
  • Doi Number: 10.1016/j.compstruc.2015.10.010
  • Title of Journal : COMPUTERS & STRUCTURES
  • Page Numbers: pp.71-82


This study shows that the deformed configuration space of 3D rods can be spanned in an objective manner by means of a semi-configuration-dependent approach. We employ a partially dependent default rotational triad defined using the spatial reference curve, a custom director-unit-vector, and a twisting-like-angle interpolation to obtain the true orientations of the cross-sections. Numerical verification shows that, rotating the custom director-unit-vector in conjunction with the element's first node, strain measure objectivity is ensured throughout the element domain. Employing the fundamental theorem of calculus, this simple but accurate finite-element implementation need not invoke the virtual work principle in the classical sense. (C) 2015 Elsevier Ltd. All rights reserved.