Abstract
In this paper, we present the viscoelastic solutions for rockmass supported with discretely mechanically or frictionally coupled (DMFC) rockbolts to reveal the coupling rheological mechanisms. The analytical solutions are first acquired by applying the Laplace inverse transforms. The effect of different viscosity coefficients and supporting parameters on the coupling model rheological behavior are then investigated. It is concluded that the variation of the rockbolt axial force or rock mass stress and displacement have a close relationship with rheological parameters and support parameters. In addition, the variations of mechanical states of rockbolts and rock mass are closely related to the rheological model.
Highlights
Cavern excavations are necessary in underground resource exploitation and transport
InInthis anan interaction rheological model of rockbolt andand rockrock massmass is proposed basedbased on the thispaper, paper, interaction rheological model of rockbolt is proposed on reinforcement mechanism of rockbolts, and the long-term evolution of stress and displacement the reinforcement mechanism of discretely mechanically or frictionally coupled (DMFC) rockbolts, and the long-term evolution of stress and ofdisplacement the rock massofand areand discussed
The time-dependent features of rock mass–rockbolt rheology coupling is in the long-term design and maintenance of caverns, and the theoretical model can beis
Summary
Cavern excavations are necessary in underground resource exploitation and transport. A large number of laboratory tests and on-site monitoring indicate that the rock mass stress and displacement change have a significant time-dependence, which can cause the load of supporting structure and the deformation to increase continuously [1,2,3,4], and it is easy for this to cause engineering deformation and instability damage to rock slopes, mine roadways, etc. The changes in the rockbolt axial force, stress and deformation of deformation of rock mass with time are discussed through the analytical solutions. 1. Geometric model of discretely mechanically or frictionally coupled (DMFC) rockbolts and Figure rock mass: (a) plane direction; (b) excavation direction. When the constitutive model of the rockbolt is a one-dimensional Kelvin viscoelastic model, the operator functions of QC ( D ) and PC ( D ) after Laplace transformation are PC (s) = 1. When the constitutive model of rock mass is the Maxwell model, the equations of the operator functions in three dimensions are
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