A hybrid 8-node hexahedral element for static and free vibration analysis

Darilmaz K.

STRUCTURAL ENGINEERING AND MECHANICS, vol.21, no.5, pp.571-590, 2005 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 5
  • Publication Date: 2005
  • Doi Number: 10.12989/sem.2005.21.5.571
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.571-590
  • Istanbul Technical University Affiliated: Yes


An 8 node assumed stress hexahedral element with rotational degrees of freedom is proposed for static and free vibration analyses. The element formulation is based directly on an 8-node element. This direct formulation requires fewer computations than a similar element that is derived from an internal 20-node element in which the midside degrees of freedom are eliminated by expressing them in terms of displacements and rotations at corner nodes. The formulation is based on Hellinger-Reissner variational principle. Numerical examples are presented to show the validity and efficiency of the present element for static and free vibration analysis.