Research Article

Calibrating the Micromechanical Parameters of the PFC2D(3D) Models Using the Improved Simulated Annealing Algorithm

Table 5

Macroparameters obtained by the improved simulated annealing algorithm.

AuthorMaterial speciesNumerical modelMacroparameters determined by the numerical simulations (error)

Chang et al.
2001 [39]
Kimachi sandstonePFC2D
Contact-bond
Experimental results: : 48 MPa : 0.27
: 6.5 GPa
Numerical results: : 44.372 MPa (7.558%)
: 0.275 (1.851%) : 6.477 GPa (0.353%)

Chang 2002
[40]
Hwangdeung granitePFC2D
Contact-bond
Experimental results: : 162 MPa : 0.28
: 50.7 GPa
Numerical results: : 171.357 MPa (5.775%)
: 0.283 (1.071%) : 48.492 GPa (4.355%)

Hong 2004
[41]
Daejeon granitePFC2D
Contact-bond
Experimental results: : 161.7 MPa : 0.22
: 50.9 GPa
Numerical results: : 159.172 MPa (1.563%)
: 0.239 (8.636%) : 46.943 GPa (7.774%)

Wang et al.
2016 [12]
Rock cored from the rock mass in the Heishan open pit mine in Chengde city, ChinaPFC2D
Contact-bond
Experimental results: : 132.3 MPa : 12.0 GPa
Numerical results: : 130.329 MPa (1.489%)
: 11.924 GPa (0.633%)

Yang et al.
2014 [42]
Red sandstonePFC2D
Parallel-bond
Experimental results: : 52.98 MPa : 14.42 GPa
: 5.113
Numerical results: : 57.832 MPa (9.158%)
: 15.490 GPa (7.420%) : 4.650 (9.055%)

Zhou et al.
2016 [43]
ConcretePFC2D
Parallel-bond
Experimental results: : 23.3 MPa : 0.17
: 37 GPa
Numerical results: : 23.525 MPa (0.965%)
: 0.159 (6.470%) : 35.822 GPa (3.183%)

Yang et al.
2015 [44]
SandstonePFC2D
Parallel-bond
Experimental results: : 190.80 MPa : 35.64 GPa
Numerical results: : 173.583 MPa (9.023%)
: 39.035 GPa (9.525%)

Fan et al.
2015 [25]
Rock-like materialsPFC3D
Contact-bond
Experimental results: : 8.27 MPa : 4.04 GPa
Numerical results: : 8.947 MPa (8.186%)
: 4.228 GPa (4.653%)

Duan et al
2015 [45]
Beishan granitePFC3D
Parallel-bond
Experimental results: : 136.4 MPa : 0.266
: 43.167 GPa
Numerical results: : 127.017 MPa (6.879%)
: 0.265 (0.375%) : 42.652 GPa (1.193%)

: Uniaxial compressive strength; : Poisson’s ratio : Young’s modulus; : tensile strength; : peak axial strain.