A Constitutive Model for Shear Behavior of Rock Joints Based on Three-Dimensional Quantification of Joint Roughness

2013 ◽  
Vol 46 (6) ◽  
pp. 1513-1537 ◽  
Author(s):  
Jung-Wook Park ◽  
Yong-Ki Lee ◽  
Jae-Joon Song ◽  
Byung-Hee Choi
Keyword(s):  
Constitutive Model ◽  
Three Dimensional ◽  
Shear Behavior ◽  
Rock Joints ◽  
Joint Roughness

scholarly journals Numerical Simulation of Shear Behavior and Permeability Evolution of Rock Joints with Variable Roughness and Infilling Thickness

Geofluids ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Jingyi Cheng ◽  
Hongwei Zhang ◽  
Zhijun Wan
Keyword(s):  
Rock Joint ◽  
Shear Behavior ◽  
Thickness Ratio ◽  
Rock Joints ◽  
Hyperbolic Function ◽  
Hydraulic Fractures ◽  
Permeability Evolution ◽  
Joint Roughness ◽  
Shear Process ◽  
Variable Roughness

The mechanical properties and permeability evolution of sand-infilled rock joints during the shear process is an important issue in rock engineering, such as it pertains to hydraulic fractures filled with proppant. Shear can disrupt the preexisting hydraulic and mechanical equilibrium conditions, thus affecting fluid flow. In this study, we simulate the shear behavior of rock joints with variable roughness and sand infilling thickness using the discrete element code PFC2D. Rock joint roughness is evaluated by the joint roughness coefficient (JRC), and sand infilling thickness is evaluated by a thickness ratio (i.e., ratio of infill thickness to rock height) ranging from 0.02 to 0.20. The results show that peak shear strength decreases with the thickness ratio in a relation that can be expressed by a hyperbolic function. We also measure the permeability evolution during shearing and find that the permeability of infilled rock joints increases with both the thickness ratio and JRC.

Investigation on the Shear Behavior of Rough Rock Joints Prepared by Three-Dimensional Engraving Technique

2022 ◽  
Vol 50 (3) ◽  
pp. 20210282
Author(s):  
Xiaobo Zhang ◽  
Xi Zhu ◽  
Chi Yao ◽  
Shu Ouyang ◽  
Jianhua Yang ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Shear Behavior ◽  
Rock Joints

scholarly journals Alternative derivation of the higher-order constitutive model for six-parameter elastic shells

2021 ◽  
Vol 72 (2) ◽  
Author(s):  
Mircea Bîrsan
Keyword(s):  
Energy Density ◽  
Constitutive Model ◽  
Strain Energy Density ◽  
Strain Energy ◽  
Shell Theory ◽  
Constitutive Relations ◽  
Three Dimensional ◽  
Classical Shell Theory ◽  
Three Dimensional Elasticity ◽  
General Method

AbstractIn this paper, we present a general method to derive the explicit constitutive relations for isotropic elastic 6-parameter shells made from a Cosserat material. The dimensional reduction procedure extends the methods of the classical shell theory to the case of Cosserat shells. Starting from the three-dimensional Cosserat parent model, we perform the integration over the thickness and obtain a consistent shell model of order $$ O(h^5) $$ O ( h 5 ) with respect to the shell thickness h. We derive the explicit form of the strain energy density for 6-parameter (Cosserat) shells, in which the constitutive coefficients are expressed in terms of the three-dimensional elasticity constants and depend on the initial curvature of the shell. The obtained form of the shell strain energy density is compared with other previous variants from the literature, and the advantages of our constitutive model are discussed.

Progressive failure analysis of scarf-repaired composite laminate based on damage constitutive model

2016 ◽  
Vol 233 (2) ◽  
pp. 180-188 ◽  
Author(s):  
Qiuyi Shen ◽  
Zhenghao Zhu ◽  
Yi Liu
Keyword(s):  
Finite Element ◽  
Constitutive Model ◽  
Composite Laminate ◽  
Damage Mechanics ◽  
Cohesive Zone Model ◽  
Load Capacity ◽  
Three Dimensional ◽  
Zone Model ◽  
State Variables ◽  
Element Analysis

A three-dimensional finite element model for scarf-repaired composite laminate was established on continuum damage model to predict the load capacity under tensile loading. The mixed-mode cohesive zone model was adopted to the debonding behavior analysis of adhesive. Damage condition and failure of laminates and adhesive were subsequently addressed. A three-dimensional bilinear constitutive model was developed for composite materials based on damage mechanics and applied to damage evolution and loading capacity analyses by quantifying damage level through damage state variables. The numerical analyses were implemented with ABAQUS finite element analysis by coding the constitutive model into material subroutine VUMAT. Good agreement between the numerical and experimental results shows the accuracy and adaptability of the model.

Study on the generalized k-Hilfer–Prabhakar fractional viscoelastic–plastic model

2021 ◽  
pp. 108128652110258
Author(s):  
Yi-Ying Feng ◽  
Xiao-Jun Yang ◽  
Jian-Gen Liu ◽  
Zhan-Qing Chen
Keyword(s):  
Constitutive Model ◽  
Three Dimensional ◽  
Sensitivity Analyses ◽  
Creep Process ◽  
Fractional Operator ◽  
Modified Model ◽  
Proposed Model ◽  
Accelerated Creep ◽  
The Laplace Transform ◽  
Classical Models

The general fractional operator shows its great predominance in the construction of constitutive model owing to its agility in choosing the embedded parameters. A generalized fractional viscoelastic–plastic constitutive model with the sense of the k-Hilfer–Prabhakar ( k-H-P) fractional operator, which has the character recovering the known classical models from the proposed model, is established in this article. In order to describe the damage in the creep process, a time-varying elastic element [Formula: see text] is used in the proposed model with better representation of accelerated creep stage. According to the theory of the kinematics of deformation and the Laplace transform, the creep constitutive equation and the strain of the modified model are established and obtained. The validity and rationality of the proposed model are identified by fitting with the experimental data. Finally, the influences of the fractional derivative order [Formula: see text] and parameter k on the creep process are investigated through the sensitivity analyses with two- and three-dimensional plots.

Study on shear behavior and damage constitutive model of tendon-grout interface

2022 ◽  
Vol 320 ◽  
pp. 126223
Author(s):  
Jianyong Han ◽  
Dong Liu ◽  
Yongping Guan ◽  
Yang Chen ◽  
Tianliang Li ◽  
...  
Keyword(s):  
Constitutive Model ◽  
Shear Behavior ◽  
Damage Constitutive Model

An enhanced index for evaluating natural joint roughness considering multiple morphological factors affecting the shear behavior

2019 ◽  
Vol 79 (4) ◽  
pp. 2037-2057
Author(s):  
Leibo Song ◽  
Quan Jiang ◽  
Li-fu Li ◽  
Chang Liu ◽  
Xiao-pei Liu ◽  
...  
Keyword(s):  
Shear Behavior ◽  
Joint Roughness ◽  
Factors Affecting
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