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

Yılmaz M., OMURTAG M. H.

Computers and Structures, vol.163, pp.71-82, 2016 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 163
  • Publication Date: 2016
  • Doi Number: 10.1016/j.compstruc.2015.10.010
  • Journal Name: Computers and Structures
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.71-82
  • Keywords: 3D curved rod, Finite rotation, Large deflection, Principal axes transformation
  • Istanbul Medipol University Affiliated: Yes


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.