THREE DIMENSIONAL STRESS ANALYSIS OF NEARLY INCOMPRESSIBLE MATERIAL USING FINITE ELEMENT METHOD

Abstract

Wide applications . of nearly incompressible C materials in many fields of engineering applications necessitated the structural response of such materials.` The finite element method is best suited for complex structural problems but conventional finite element formulation become invalid when used for nearly incompressible materials. The methods' for nearly incompressible materials have been derived using a variety of approaches. The aim of this study however, was to investigate the performance of 8-noded.. 20-noded and 27-noded hexahedral solid elements in the stress analysis of nearly incompressible material and conventional materials (v nearly equal to 0.3 to 0.4). To accomplish this task, a computer program has been. developed for static and dynamic analysis using three dimensional finite element formulation. The modified formulation developed for the analysis of nearly incompressible material is based on the penalty function program approach. A separate ,has also been developed which generates the coordinates for 20-noded and 27-noded elements and also generates the global nodal numbering for each element: The developed finite element program based on penalty function approach has •been validated by undertaking several test cases.