Abstract
Rock masses with a distinct structure may present a transversely isotropic character; thus, the stress state in a transversely isotropic elastic half-plane surface is an important way to assess the behavior of the interaction between the distributed loading and the surroundings. Most previous theoretical analyses have considered a loading direction that is either vertical or horizontal, and the stress distribution that results from the effect of different loading directions remains unclear. In this paper, based on the transversely isotropic elastic half-plane surface theory, a stress solution that is applicable to distributed loading in any direction is proposed to further examine the loading effect. The consistency between the analytical solution and numerical simulations showed the effectiveness of the proposal that was introduced. Then, it was utilized to analyze the stress distribution rule by changing the Poisson’s ratio and Young’s modulus of the model. The effects of the formation dip angle on the stress state are also examined. The stress distribution, depending on the physical property parameters and relative angle, is predicted using an analytical solution, and the mechanisms associated with the transversely isotropic elastic half-plane surface subjected to the loading in any direction are clarified. Additionally, extensive analyses regarding this case study, with respect to the mechanical behavior associated with changes in the stress boundary, is available. Hence, the proposed analytical solution can more realistically account for the loading problem in many engineering practices.
Highlights
Along with the development of underground engineering construction, layered rock mass is the most familiar type of rock mass due to the existence of directional structural planes
The direct tensile strength of the initial bedding plane was quantified through laboratory experiments, and the influence of weak planes on the mechanical behaviors of transversely isotropic rocks under uniaxial compression was studied [2,3]
The relationship among the tensile strength, specimen size, and loading slice angle of the transversely isotropic rocks was revealed from the perspective of size effect, which together control the failure mechanism of transversely isotropic rocks in the Brazilian test [7,8]
Summary
Along with the development of underground engineering construction, layered rock mass is the most familiar type of rock mass due to the existence of directional structural planes. The numerical solution of isotropic multilayer viscoelastic porous rock foundations under vertical circular loading was given [36], the displacement continuity condition [37] and non-Darcy flow [38] characteristics were analyzed, and the mechanical and anisotropic characteristics of the rock mass were developed and adopted to explain this based on Goodman’s stiffness equation [39], the double boundary element method [40], the three-dimensional continuum model [41], and the Thomsen parameters [42] They came to the conclusion that transversely isotropic bedding planes have significant impacts on the analysis of bedding planes. Sci. 2021, 11, 10476 direction and offers valuable insights into both theoretical research and actual engineering applications
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