In physical similarity simulation experiments

the similarity between the physico-mechanical properties of similar materials and the physical properties of simulated prototypes is the key to the success of physical similar simulations. In order to determine the physico-mechanical properties of physical similar materials

three factors and four levels of orthogonal experiments are used; and the influence of three factors

such as sand binder ratio

density and residual moisture content

on the uniaxial compressive strength

elastic modulus and Poisson's ratio of similar materials are studied by using the similar materials composed of sand and gypsum. The results show that the factors affecting the degree of uniaxial compressive strength from big to small in turn for the sand binder ratio

density

residual moisture content; and the uniaxial compressive strength increases with the increase of density but decreases with the sand ratio and residual water content increases. The factors affecting the degree of elastic modulus from big to small in turn for the sand binder ratio

density

residual moisture content; and the elastic modulus increases with the increase of the density

decreases with the increase of the sand binder ratio. The factors affecting the Poisson's ratio from big to small in turn for the residual water content

density

sand binder ratio; and the Poisson's ratio increases with the increase of density and residual water content

but not to the sand binder ratio. The density

sand binder ratio and residual moisture content have a certain interaction with the uniaxial compressive strength; but they do not exist on the elastic modulus; and the density

sand binder ratio have a certain interaction with the Poisson's ratio of similar materials. The regression equation of the ratio of sand to shell

density and residual water content on uniaxial compressive strength

elastic modulus and Poisson's ratio is obtained; and it is of great significance for the design of similar materials.