On the numerical investigations of the stress-strain behavior of materials based on the isotropic elasticity model of the multimodulus media

The paper presents the multimodulus approach to the continuum mechanics problem. In the introduction, a number of multimodulus models are presented that were developed by V.P. Myasnikov for the isotropic elasticity case. The numerical finite-element approximation of the multimodulus equilibrium state equations forming the sophisticated Lame system is also considered. In the final part, the results of two-dimensional calculations of the stress-strain state for various multimodulus media such as steel, concrete, ceramics, and soil are presented. The effect is discussed of the influence of the different moduli in tension and compression on the strain intensity