Static and free vibration of plates with a strain based brick element

ABSTRACT

This paper deals with the static and free vibration validation of a new three-dimensional brick finite element based on the strain approach. The developed element possesses nine nodes and 3 degrees of freedom (U, V and W) per node. The displacements field is based on the assumed functions for the various components of strain which satisfy both the compatibility equations and equilibrium equations. The performances of this element for different problems are assessed using several beams, thick and thin plates bending with various shapes. The developed element is implemented in the ABAQUS code. Static and free vibration behaviours are considered in this study. Their results are compared with analytical and numerical solutions taken from literature. The obtained results show the excellent performances and accuracy of the present element.

KEYWORDS:

• Strain approach
• brick element
• implementation
• static and free vibration analysis
• plate bending

Disclosure statement

No potential conflict of interest was reported by the authors.