PROGRESSES IN ELASTICITY THEORY WITH DIFFERENT MODULI IN TENSION AND COMPRESSION AND RELATED FEM

With the development of science and technology, one has to develop new materials and to explore potential of material properties. This paper presents the development of the elasticity theory with different Young's modulus in tension and compression. There are fundamental problems for the finite element method (FEM) and engineering applications. In this paper, Ambartsumyan FEM computational model, Jones' FEM computational model, Zhang's FEM computational model, and Ye's FEM computational model are improved and discussed by an equivalent concept. We find that the error of numerical results is apparent in the stiffness and strength of the materials for engineering structures if uniform Young's modulus is used.