Study on the Constitutive Model of Visco-Elasticity-Plasticity Considering the Rheology of Rock Mass

Abstract

Considering the rheological mechanical characteristics of rock mass, a viscous-plastic model of rock mass which can describe the acceleration creep stage of rock mass was proposed. Moreover, combining with viscous-elastic shearing rheological model of rock mass in series, a new constitutive model of visco-elasticity-plasticity considering the rheology was constructed. Due to the shearing rheological curves of granite, the model of visco-elasticity-plasticity considering the rheology was identified and the rheological parameters of the model were obtained. The comparison between the viscous-elastic-plastic rheological model of rock mass and experimental result of granite shows that the accelerating rheological properties of rock mass can be depicted effectively by the constitutive model of visco-elasticity-plasticity considering the rheology.

Determination of a Loading Pressure in the Metal Forming by the Given Movements

“…The equation of motion of the medium in this case takes the form of spherical symmetry σ rr,r + 2 (σ rr -σ θθ )/r = ρ 0 dv/dt (13) Given that in a spherical coordinate system we have v = -(df(t)/dt)/(3r 2 ), (14) dv/dt = -((d2f/dt2)/(3r3) + 2(df/dt)/(9r5)). ( 15)…”

“…Since classic work E. Lee [5], lots of plastic flow models with large reversible and irreversible deformations are built [5][6][7][8][9][10][11][12][13][14]. Many models use a Lagrangian description [7,8,[10][11][12][13]. But in this case is physically difficult to interpret the results of mathematical modeling.…”

On Zero-Order Optimization in Problem of the Pressure Computing in Finite Elastic-Creep Deformations

“…Attempts to simulate such process of the micropores "healing" in the metal have been made repeatedly. Since classic work E. Lee [3], lots of plastic flow frameworks with large reversible and irreversible deformations were built [3][4][5][6][7][8][9][10]. Lot of them use a Lagrangian description [6][7][8].…”

“…Since classic work E. Lee [3], lots of plastic flow frameworks with large reversible and irreversible deformations were built [3][4][5][6][7][8][9][10]. Lot of them use a Lagrangian description [6][7][8]. But in this case the results of the mathematical modeling are physically difficult to interpret.…”