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Structural Engineering and Mechanics
  Volume 21, Number 5, November30 2005 , pages 571-590

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

    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.
Key Words
    solid element; 8-node hexahedral element; hybrid finite element; static analysis; free vibration.
Department of Civil Engineering, Istanbul Technical University 34469, Maslak, Istanbul, Turkey

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