Analysis of Different Types of Heterogeneity and Induced Stresses in an Initially Stressed Irregular Transversely Isotropic Rock Medium Subjected to Dynamic Load

Abstract

In this study, the closed-form expressions of the incremental stresses (normal and shear) induced by a load moving at a constant speed in a rock medium containing free surface were obtained analytically. The closed-form expressions indicate that induced incremental normal (compressive and tensile) stresses vanish at the point directly below the point of application of shearing load on the boundary. Conversely, the value of incremental shear stress is maximal at this point. Thus, this comparative study aimed to analyze the influence of such parameters as irregularity depth, irregularity factor, heterogeneity parameter, types of heterogeneity, horizontal tensile initial stress, vertical compressive initial stress, and effective compressive initial stress on the incremental shear stress induced in three types of transversely isotropic rock media [sandstone (a sedimentary rock), granite (an igneous rock), and marble (a metamorphic rock)] for both exponential and linear heterogeneity. In this paper, the induced shear stress is computed numerically and demonstrated with the use of graphs to reveal the outcomes of the study. Furthermore, some considerable peculiarities are outlined and depicted graphically.