Other language title :
ﻣﻄﺎﻟﻌﻪ ﻋﺪدي ﺗﺎﺛﯿﺮ زاوﯾﻪ داري راك ﺑﻮﻟﺖ ﺑﺮ رﻓﺘﺎر ﺑﺮﺷﯽ ﭘﻞ ﺳﻨﮓ
Title of article :
Numerical Investigation of Effect of Rock Bolt Angle on Shear Behavior of Rock Bridges
Author/Authors :
Sarfarazi, Vahab Department of Mining Engineering - Hamedan University of Technology - Hamedan, Iran , Tabaroei, Abdollah Department of Civil Engineering - Eshragh Institute of Higher Education - Bojnourd, Iran
Abstract :
In this work, the effect of rock bolt angle on the shear behavior of Rock Bridges is
investigated using the particle flow code in two dimensions (PFC2D) for three different
Rock Bridge lengths. Firstly, the calibration of PF2D is performed to reproduce the
gypsum sample. Then the numerical models with the dimensions of 100 mm * 100 mm
are prepared. The Rock Bridge is created in the middle of the model by removal of the
narrow bands of discs from it. The uniaxial compressive strength of the Rock Bridge
is 7.4 MPa. The Rock Bridge lengths are 30 mm, 50 mm, and 70 mm. The rock bolt is
calibrated by a parallel bond. The tensile strength of the simulated rock bolt is 360
MPa. One rock bolt is implemented in the Rock Bridge. The rock bolt angles related
to the horizontal axis are the changes from 0 to 75 degrees. Totally, 18 models are
prepared. The shear test condition is added to the models. The normal stress is fixed at
2 MPa, and the shear load is added to the model till failure occurs. The results obtained
show that in a fixed rock bolt angle, the tensile crack initiates from the joint tip and
propagates parallel to the shear loading axis till coalescence to rock bolt. In a constant
Rock Bridge length, the shear strength decreases with increase in the rock bolt angle.
The highest shear strength occurs when the rock bolt angle is 0°.
Farsi abstract :
در اﯾﻦ ﻣﻘﺎﻟﻪ ﺗﺎﺛﯿﺮ زاوﯾﻪ داري راك ﺑﻮﻟﺖ ﺑﺮ رﻓﺘﺎر ﺑﺮ ﺷﯽ ﭘﻞ ﺳﻨﮓ ﺑﺎ ﺳﻪ ﻃﻮل ﻣﺤﺘﻠﻒ ﺗﻮ ﺳﻂ ﻧﺮم اﻓﺰار PFC ﻣﻄﺎﻟﻌﻪ ﺷﺪه ا ﺳﺖ. در اﺑﺘﺪا ﻧﺮم اﻓﺰار ﺑﺮاي ﻧﻤﻮﻧﻪ ﮔﭻ ﮐﺎﻟﯿﺒﺮه ﮔﺮدﯾﺪ. ﺳﭙﺲ ﻣﺪل ﻋﺪدي ﺑﺎ اﺑﻌﺎد 100mm × 100 mm آﻣﺎده ﺷﺪ. ﭘﻞ ﺳﻨﮓ در ﻣﺮﮐﺰ ﻣﺪل ﺑﺎ ﺣﺬف ﻧﻮارﻫﺎﯾﯽ از دﯾﺴﮏﻫﺎ اﯾﺠﺎد ﺷﺪ. ﻣﻘﺎوﻣﺖ ﺗﮏ ﻣﺤﻮره ﭘﻞ ﺳﻨﮓ MPa 7/4 ا ﺳﺖ. ﻃﻮل ﭘﻞ ﺳﻨﮓ در ﺳﻪ ﻣﻘﺪار mm ،30m 50 و mm 70 ﻣﺘﻐﯿﺮ ا ﺳﺖ. راك ﺑﻮﻟﺖ ﺑﺎ اﺗ ﺼﺎل ﻣﻮازي ﮐﺎﻟﯿﺒﺮه ﺷﺪ. ﻣﻘﺎوﻣﺖ ﮐ ﺸ ﺸﯽ راك ﺑﻮﻟﺖ MPa 360 ا ﺳﺖ. ﯾﮏ راك ﺑﻮﻟﺖ در ﭘﻞ ﺳﻨﮓ ﻧ ﺼﺐ ﮔﺮدﯾﺪ. زاوﯾﻪ داري راك ﺑﻮﻟﺖ ﺑﺎ اﻓﻖ از ﺻﻔﺮ ﺗﺎ 75 درﺟﻪ ﺑﺎ ﮔﺎمﻫﺎي 15 درﺟﻪ ﺗﻐﯿﯿﺮ ﻣﯽﮐﻨﺪ. ﺑﻄﻮر ﮐﻠﯽ 18 ﻣﺪل آﻣﺎده ﺳﺎزي ﺷﺪ. ﺷﺮاﯾﻂ ﺑﺮش ﻣﺴﺘﻘﯿﻢ ﺑﺮاي ﻣﺪلﻫﺎ ﻣﻬﯿﺎ ﺷﺪ. ﺗﻨﺶ ﻧﺮﻣﺎل MPa 2 ﺑﻪ ﻣﺪلﻫﺎ اﻋﻤﺎل ﮔﺮدﯾﺪ و ﺑﺎر ﺑﺮﺷﯽ ﺗﺎ ﻟﺤﻈﻪ ﺷﮑﺴﺖ ﺑﻪ ﻣﺪلﻫﺎ اﻋﻤﺎل ﮔﺮدﯾﺪ. ﻧﺘﺎﯾﺞ ﻧﺸﺎن ﻣﯽ دﻫﻨﺪ ﮐﻪ در زاوﯾﻪ داري ﺛﺎﺑﺖ راك ﺑﻮﻟﺖ، ﺗﺮك ﻫﺎي ﮐﺸﺸﯽ از ﻧﻮك درزه ﺷﺮوع ﺷﺪه، ﺑﻪ ﻣﻮازات ﻣﺤﻮر ﺑﺎرﮔﺬاري ﺑﺮﺷﯽ رﺷﺪ ﮐﺮده و ﺑﻪ راك ﺑﻮﻟﺖ ﻣﺘﺼﻞ ﻣﯽﮔﺮدد. در ﻃﻮل ﺛﺎﺑﺖ ﭘﻞ ﺳﻨﮓ، ﻣﻘﺎوﻣﺖ ﺑﺮﺷﯽ ﺑﺎ اﻓﺰاﯾﺶ زاوﯾﻪ داري راك ﺑﻮﻟﺖ اﻓﺰاﯾﺶ ﻣﯽﯾﺎﺑﺪ. ﺑﯿﺸﺘﺮﯾﻦ ﻣﻘﺎوﻣﺖ ﺑﺮﺷﯽ در زاوﯾﻪ داري ﺻﻔﺮ درﺟﻪ اﺗﻔﺎق ﻣﯽاﻓتد
Keywords :
PFC2D , Rock Bolt , Rock Bridge
Journal title :
Journal of Mining and Environment