A Fundamental Investigation of the Tensile Failure of Rock Using the Three-Dimensional Lattice Spring Model

2019 ◽  
Vol 52 (7) ◽  
pp. 2319-2334
Author(s):  
Qin Li ◽  
Gao-Feng Zhao ◽  
Jijian Lian
Keyword(s):  
Three Dimensional ◽  
Tensile Failure ◽  
Spring Model ◽  
Dimensional Lattice ◽  
Lattice Spring Model ◽  
Fundamental Investigation

Application of the four-dimensional lattice spring model for blasting wave propagation around the underground rock cavern

2018 ◽  
Vol 82 ◽  
pp. 135-147 ◽  
Author(s):  
Xiao-Dong Hu ◽  
Gao-Feng Zhao ◽  
Xi-Fei Deng ◽  
Yi-Fei Hao ◽  
Li-Feng Fan ◽  
...  
Keyword(s):  
Wave Propagation ◽  
Spring Model ◽  
Dimensional Lattice ◽  
Lattice Spring Model ◽  
Rock Cavern ◽  
Blasting Wave

scholarly journals On the four-dimensional lattice spring model for geomechanics

2018 ◽  
Vol 10 (4) ◽  
pp. 661-668 ◽  
Author(s):  
Gao-Feng Zhao ◽  
Xiaodong Hu ◽  
Qin Li ◽  
Jijian Lian ◽  
Guowei Ma
Keyword(s):  
Spring Model ◽  
Dimensional Lattice ◽  
Lattice Spring Model

scholarly journals DISCRETE AND CONTINUUM APPROACHES TO THREE-DIMENSIONAL QUANTUM GRAVITY

1991 ◽  
Vol 06 (39) ◽  
pp. 3591-3600 ◽  
Author(s):  
HIROSI OOGURI ◽  
NAOKI SASAKURA
Keyword(s):  
Gauge Theory ◽  
Moduli Space ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Analogue Model ◽  
Gauge Invariant ◽  
Invariant Functions ◽  
Dimensional Lattice ◽  
Chern Simons ◽  
Dimensional Surface

It is shown that, in the three-dimensional lattice gravity defined by Ponzano and Regge, the space of physical states is isomorphic to the space of gauge-invariant functions on the moduli space of flat SU(2) connections over a two-dimensional surface, which gives physical states in the ISO(3) Chern–Simons gauge theory. To prove this, we employ the q-analogue of this model defined by Turaev and Viro as a regularization to sum over states. A recent work by Turaev suggests that the q-analogue model itself may be related to an Euclidean gravity with a cosmological constant proportional to 1/k2, where q=e2πi/(k+2).

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