Gravity-induced stresses in stratified rock masses

Gravitational stresses in anisotropic rock masses with inclined strata

“…They also depend on how the rock mass properties and the degree of anisotropy vary with depth. The effect of such variations on gravity-induced stresses has already been discussed by Amadei and Savage [7] and Amadei et al [2] for horizontally regularly jointed and layered rock masses. The solution presented in this paper can also be used to predict stresses in rock masses for which the deformability properties vary with depth only.…”

“…The other three stress components o~, oy and ~y can be obtained by substituting the conditions %~ =Ty: = 0 and o: = pgz into equation (2). This results in the following system of three equations:…”

“…In two recent papers [1,2], closed-form solutions were presented for the components of the stress field induced by gravitational loading of laterally restrained anisotropic rock masses with a horizontal ground surface. The rock masses were modelled as orthotropic or transversely isotropic linearly elastic materials that were either homogeneous or stratified with homogeneous layers.…”

“…The analytical solutions of Amadei et al [1,2] showed that for anisotropic rock masses under gravity and a condition of no lateral displacements, the horizontal stresses could not be predicted by the classical isotropic solution of Terzaghi and Richart [3]. Recall that in the isotropic solution, the horizontal stresses are equal to v/(1-v) times the vertical stress where v is the rock Poisson's ratio.…”

Closed-Form Solutions of the Cross-Anisotropic Stratum Due to a Point Heat Source

“…Both the soil and the stratified rock masses show the nature of anisotropy. For this reason, theoretical or numerical models should be able to simulate this kind of layered soils and rocks as cross-anisotropic medium (Amadei et al, 1988;Barden, 1963;Gibson, 1974;Lee & Yang, 1998;Sekowski, 1986;Sheorey, 1994). In this paper, the soil mass is modelled as a linearly elastic medium with cross-anisotropic properties.…”