Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 571-590 |
| Number of pages | 20 |
| Journal | Structural Engineering and Mechanics |
| Volume | 21 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 30 Nov 2005 |
Keywords
- 8-node hexahedral element
- Free vibration
- Hybrid finite element
- Solid element
- Static analysis