Table 2 Damage constitutive equations for regenerated rock mass (α = 0.97).
From: Bearing characteristics and damage rules of regenerated rock mass
Specimen number | λ | κ | D | Damage constitutive equations |
|---|---|---|---|---|
CS0.5 | 0.01 | 2.315 | \(D = 1 - exp\left[ { - \left( {\frac{\varepsilon }{0.010}} \right)^{2.315} } \right]\) | \(\sigma = E\varepsilon \left\{ {1 - 0.97 + 0.97exp\left[ { - \left( {\frac{\varepsilon }{0.018}} \right)^{2.489} } \right]} \right\}\) |
CS0.6 | 0.018 | 2.489 | \(D = 1 - \exp \left[ { - \left( {\frac{\varepsilon }{0.018}} \right)^{2.489} } \right]\) | \(\sigma = E\varepsilon \left\{ {1 - 0.97 + 0.97\left[ { - \left( {\frac{\varepsilon }{0.018}} \right)^{2.489} } \right]} \right\}\) |
CS0.7 | 0.022 | 1.549 | \(D = 1 - \exp \left[ { - \left( {\frac{\varepsilon }{0.022}} \right)^{1.549} } \right]\) | \(\sigma = E\varepsilon \left\{ {1 - 0.97 + 0.97\exp \left[ { - \left( {\frac{\varepsilon }{0.22}} \right)^{1.549} } \right]} \right\}\) |
PS0.5 | 0.026 | 1.15 | \(D = 1 - \exp \left[ { - \left( {\frac{\varepsilon }{0.026}} \right)^{1.15} } \right]\) | \(\sigma = E\varepsilon \left\{ {1 - 0.97 + 0.97\exp \left[ { - \left( {\frac{\varepsilon }{0.026}} \right)^{1.15} } \right]} \right\}\) |
PS0.6 | 0.018 | 1.389 | \(D = 1 - \exp \left[ { - \left( {\frac{\varepsilon }{0.018}} \right)^{1.389} } \right]\) | \(\sigma = E\varepsilon \left\{ {1 - 0.97 + 0.97\exp \left[ { - \left( {\frac{\varepsilon }{0.018}} \right)^{1.389} } \right]} \right\}\) |
PS0.7 | 0.027 | 1.24 | \(D = 1 - \exp \left[ { - \left( {\frac{\varepsilon }{0.027}} \right)^{1.24} } \right]\) | \(\sigma = E\varepsilon \left\{ {1 - 0.97 + \exp \left[ { - \left( {\frac{\varepsilon }{0.027}} \right)^{1.24} } \right]} \right\}\) |
SG0.5 | 0.015 | 1.321 | \(D = 1 - exp\left[ { - \left( {\frac{\varepsilon }{0.015}} \right)^{1.321} } \right]\) | \(\sigma = E\varepsilon \left\{ {1 - 0.97 + 0.97\exp \left[ { - \left( {\frac{\varepsilon }{0.22}} \right)^{1.549} } \right]} \right\}\) |
SG0.6 | 0.017 | 0.972 | \(D = 1 - \exp \left[ { - \left( {\frac{\varepsilon }{0.017}} \right)^{0.972} } \right]\) | \(\sigma = E\varepsilon \left\{ {1 - 0.97 + 0.97\exp \left[ { - \left( {\frac{\varepsilon }{0.22}} \right)^{1.549} } \right]} \right\}\) |
SG0.7 | 0.02 | 1.302 | \(D = 1 - \exp \left[ { - \left( {\frac{\varepsilon }{0.02}} \right)^{1.302} } \right]\) | \(\sigma = E\varepsilon \left\{ {1 - 0.97 + 0.97\exp \left[ { - \left( {\frac{\varepsilon }{0.22}} \right)^{1.549} } \right]} \right\}\) |
