A nine-point sampling point scheme for twenty node brick element

Abstract

A new sampling point scheme with nine evaluation points were introduced in this research study for twenty noded brick elements. The new sampling points were located inside the brick element at the corners and center point of the 20 node brick element. This integration scheme can be assumed to be an imitation of Gaussian integration scheme. Standard benchmark problems were chosen from the different research works and compared with our proposed scheme. Finally, the proposed integration scheme achieves good results for twenty node brick element on different performance parameters of finite element analysis.