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Stability assessment of jointed rock slope with different crack infillings under various thermomechanical loadings

  • Pushpendra Sharma
  • Amit Kumar Verma
  • Anil Negi
  • Manish Kumar Jha
  • Pradeep Gautam
Original Paper
  • 62 Downloads

Abstract

Thermoelastic deformation of rock significantly affects the stability of rock slope because thermoelastic strains may cause fracture propagation under favorable condition of failure. Rock slope stability depends on the balance between shear stress and shear resistance along the plane of weakness. Due to warming of rock slopes by heat transfer phenomena, viz. conduction and convection, considerable change in induced stresses (normal and shear) and resistance takes place which further causes instability in rock slope. In this paper, a two-dimensional finite element model has been used to simulate the stability of jointed rock slope containing crack in its upper surface. Four different cases have been simulated on the basis of infilling material (air, water, ice, water and ice) in the crack. Stability of rock slope is examined in terms of shear displacement and factor of safety for different thermal conditions of slope surface. A comparative study has been done for the four cases of infilling material in the crack. The various affecting parameters, viz. shear displacement, factor of safety, shear strength along the joint, and different surface temperature conditions, are illustrated by means of graphs. It has been found that the values of horizontal and vertical displacements are in the range of millimeters. The maximum values of horizontal and vertical displacements are 2.17 mm. Moreover, the maximum values of vertical compressive and tensile stresses are 15.4 MPa and 4.45 MPa respectively for the said four cases. According to the infilling material in the crack, the stability of the rock slope for the given geometry of slope is found in the following order: crack filled with ice < crack filled with ice and water < crack filled with water < empty crack. Validations of numerical results have been done from previous studies, and it has been found that the trends of normal stress, shear strength, and shear displacement along the joint are well matched.

Keywords

Factor of safety Ice-filled crack Rock joint Crack Shear strength 

Abbreviations

2D FE

2-Dimensional finite element

σn

Normal stress along the joint

σs

Shear stress along the joint

unormal

Normal displacement along the joint

ushear

Shear displacement along the joint

τ

Shear strength along the joint

FOS

Factor of safety

Z

Depth of crack

W

Width of crack

Er

Elastic modulus of rock

ρr

Density of rock

υr

Poisson’s ratio of rock

kr

Thermal conductivity of rock

α

Coefficient of thermal expansion for rock

cp

Specific heat at constant pressure for rock

ϕ

Friction angle for rock

σt

Tensile strength of intact rock

σc

Compressive strength of intact rock

c

Cohesion for rock

Ei

Elastic modulus of ice

υi

Poisson’s ratio of ice

ρi

Density of ice

ki

Thermal conductivity of ice

cp

Specific heat for ice

γ

Ratio of specific heat for ice

αi

Coefficient of thermal expansion for ice

ha

Convective heat transfer coefficient for air

hw

Convective heat transfer coefficient for water

Notes

Funding information

The authors are thankful to the NRDMS program, Department of Science and Technology, Government of India, for providing the research grant (NRDMS/02/19/015/(G)) to carry out the study smoothly.

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Copyright information

© Saudi Society for Geosciences 2018

Authors and Affiliations

  • Pushpendra Sharma
    • 1
  • Amit Kumar Verma
    • 1
  • Anil Negi
    • 2
  • Manish Kumar Jha
    • 1
  • Pradeep Gautam
    • 1
  1. 1.Department of Mining EngineeringIIT (ISM)DhanbadIndia
  2. 2.Department of Applied MathematicsIIT (ISM)DhanbadIndia

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