Analysis of Stresses Induced due to a Moving Load on Irregular Initially Stressed Heterogeneous Viscoelastic Rock Medium

Abstract

This paper investigates the normal and shear stresses induced due to a load moving on initially stressed irregular heterogeneous isotropic viscoelastic rock medium (sandstone, limestone, and marble) at a free rough surface. Two-dimensional geometry of the rock medium is considered for this purpose. It has been reported through the closed-form expressions of induced stresses that both normal (compressive and tensile) and shear stresses are affected by the irregularity depth, different shapes of irregularity (rectangular irregularity and parabolic irregularity), heterogeneity, horizontal compressive initial stress, horizontal tensile initial stresses, hysteretic damping ratio, velocity of a moving load (in the subsonic range), and viscoelasticity of rock medium. Moreover, friction due to rough upper surface of viscoelastic rocks has a significant effect on shear and tensile stresses induced in viscoelastic rock medium. In addition, some important peculiarities are addressed and depicted by means of graphs.