Deformability analysis of anisotropic rock

Abstract

Evaluating anisotropic mechanical properties can helps to predict the behavior of rock materials in analysis, design, and construction, and improves the quality and safety. This research discussed laboratory testing and analytical methods to determine the four values of elastic constants of transversely isotropic slate rock. In this study, a combination of experimental and analytical methods has been used to determine the four elastic constants of transverse isotropic rocks in the laboratory. Analytic calculations were performed to determine the elastic constants of rock material with the assumption of linear, elastic, homogeneous, and transversely isotropic. The strain value was determined at of 50% of peak stress on stress-strain curves. Multilinear regression analysis with least squares estimation method was used in determining the linear equation to get to the four elastic constants of the rock. The results of uniaxial compression tests revealed that for the slate rock, the deformability in the direction that is normal to the plane of transverse isotropy (θ = 85°) is greater than that is parallel to the plane of transverse isotropy (θ = 5°) or, in other words, E1 > E2.