Propagation of the Stress Wave Through the Filled Joint with Linear Viscoelastic Deformation Behavior Using Time-Domain Recursive Method

2017 ◽  
Vol 50 (12) ◽  
pp. 3197-3207 ◽  
Author(s):  
Rui Wang ◽  
Zhiping Hu ◽  
Dan Zhang ◽  
Qiyao Wang
PLoS ONE ◽  
2021 ◽  
Vol 16 (9) ◽  
pp. e0253392
Author(s):  
Shuailong Jia ◽  
Zhiliang Wang ◽  
Jianguo Wang ◽  
Zhitang Lu ◽  
Haochen Wang

This study is to theoretically and experimentally investigate the propagation of stress waves in the filled joint set. The time-domain recursive method is used to derive the propagation equations in the filled joint set, and the filled joints are further simplified into structural planes without joint thickness. The split-Hopkinson rock bar is modified to simulate P wave propagation normally across the parallel filled joints. The relationship among stress-closure curve, joint specific stiffness, transmission coefficient and loading rate is analyzed. The results show that, for the rock mass with a single joint, both the joint specific stiffness and transmission coefficient of different filling materials increase with loading rate. More serious particle breakage of the filling materials leads to lower joint specific stiffness and transmission coefficient. For the rock mass with two joints, the joint specific stiffness of each joint affects the transmission coefficient of the filled joint set. It is found that our theoretical calculations are basically consistent with the experimental ones, and the joint specific stiffness can well characterize the propagation behavior of stress wave in the filled parallel rock joints.


2007 ◽  
Vol 340-341 ◽  
pp. 1017-1024 ◽  
Author(s):  
Yoshihiro Tomita ◽  
K. Azuma ◽  
M. Naito

The constitutive equation of rubber is derived by employing a nonaffine molecular chain network model for an elastic deformation behavior and the reptation theory for a viscoelastic deformation behavior. The results reveal the roles of the individual springs and dashpot, and the strain rate dependence of materials and disentanglement of molecular chains in the monotonic and cyclic deformation behaviors, particularly softening and hysteresis loss, that is, the Mullins effect, occurring in stress-stretch curves under cyclic deformation processes.


1996 ◽  
Vol 5 (5) ◽  
pp. 517-528 ◽  
Author(s):  
Farhan Gandhi ◽  
Inderjit Chopra

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