Other language title :
آﻧﺎﻟﯿﺰ ﻣﮑﺎﻧﯿﺰم ﮔﺴﯿﺨﺘﮕﯽ ﺑﺎ اﺳﺘﻔﺎده از اﻟﻤﺎن ﻣﺠﺰاي ﺳﻪ ﺑﻌﺪي ﺑﺮاي ﭘﯽﻫﺎي ﺳﻄﺤﯽ در ﺳﻨﮓ
Title of article :
A 3D Discrete Element Analysis of Failure Mechanism of Shallow Foundations in Rocks
Author/Authors :
Sepehri, S Department of petroleum and Mining Engineering - South Tehran Branch - Islamic Azad University - Tehran, Iran , Shirinabadi, R Department of petroleum and Mining Engineering - South Tehran Branch - Islamic Azad University - Tehran, Iran , Hoseini Alae, N Department of petroleum and Mining Engineering - South Tehran Branch - Islamic Azad University - Tehran, Iran , Moosavi, E Department of petroleum and Mining Engineering - South Tehran Branch - Islamic Azad University - Tehran, Iran , Bangian Tabrizi, A.H Department of petroleum and Mining Engineering - South Tehran Branch - Islamic Azad University - Tehran, Iran
Abstract :
In this research work, a 3D numerical modeling technique is proposed based on the 3D
particle flow code in order to investigate the failure mechanism of rock foundations. Two
series of footings with different geometries and areas are considered in this work. The
failure mechanism obtained is similar to that of the Terzaghi’s but there is a negligible
difference in between. Lastly, one equation is presented to calculate the bearing capacity
based on the results achieved from the numerical model and the Mohr-Coulomb theory.
The sensitivity analyses are performed on the friction angle, cohesion, and footing width.
The results obtained are compared with the corresponding results given by the equations
given by Terzaghi and Meyerhof. This comparison demonstrates a good agreement
between them. In the friction angle sensitive analysis, the amounts of the bearing capacity
diagram are very close to Meyerhof’s, which overlap with each other.
Farsi abstract :
در اﯾﻦ ﺗﺤﻘﯿﻖ، ﯾﮏ ﻣﺪل ﻋﺪدي ﺑﺮ ﻣﺒﻨﺎي ﺗﺌﻮري ﺟﺮﯾﺎن ذرات ﺳﻪ ﺑﻌﺪي ﺑﻪ ﻣﻨﻈﻮر ﺑﺮر ﺳﯽ ﮔ ﺴﯿﺨﺘﮕﯽ ﻓﻮﻧﺪا ﺳﯿﻮنﻫﺎي ﺳﻨﮕﯽ اﺳﺘﻔﺎده ﺷﺪه ا ﺳﺖ. دو ﺳﺮي ﭘﺎﯾﻪ ﺑﺎ ﻫﻨﺪﺳﻪ و ﻣﺴﺎﺣﺖ ﻣﺘﻔﺎوت ﺑﮑﺎر ﮔﺮﻓﺘﻪ ﺷﺪه اﺳﺖ. ﻣﮑﺎﻧﯿﺰم ﮔﺴﯿﺨﺘﮕﯽ ﺑﺪﺳﺖ آﻣﺪه ﺑﺎ وﺟﻮد ﺗﻔﺎوت ﻫﺎي ﺟﺰﺋﯽ ﻣﺸﺎﺑﻪ ﻧﻈﺮ ﺗﺮزاﻗﯽ اﺳﺖ. ﺑﺎ ﺗﻮﺟﻪ ﺑﻪ ﻧﺘﺎﯾﺞ ﺑﺪﺳﺖ آﻣﺪه، ﯾﮏ ﻓﺮﻣﻮل ﺑﻪ ﻣﻨﻈﻮر ﻣﺤﺎ ﺳﺒﻪ ﻇﺮﻓﯿﺖ ﺑﺎرﺑﺮي اراﺋﻪ ﺷﺪ. در اﯾﻦ ﻓﺮﻣﻮل از ﺗﺌﻮري ﺷﮑ ﺴﺖ ﻣﻮﻫﺮ – ﮐﻮﻟﻤﺐ ا ﺳﺘﻔﺎده ﺷﺪه ا ﺳﺖ. ﯾﮏ آﻧﺎﻟﯿﺰ ﺣ ﺴﺎ ﺳﯿﺖ ﺑﺮ روي زاوﯾﻪ اﺻﻄﮑﺎك داﺧﻠﯽ، ﭼﺴﺒﻨﮕﯽ و ﻋﺮض ﭘﺎﯾﻪ اﻧﺠﺎم ﮔﺮﻓﺖ. ﻧﺘﺎﯾﺞ ﺑﺪﺳﺖ آﻣﺪه ﺑﺎ رواﺑﻂ ﺗﺮزاﻗﯽ و ﻣﺎﯾﺮﻫﻮف ﻣﻘﺎﯾﺴﻪ ﮔﺮدﯾﺪ. اﯾﻦ ﻣﻘﺎﯾﺴﻪ ﻧﻤﺎﯾﺸﮕﺮ ﯾﮏ ﺗﻄﺎﺑﻖ ﻣﻨﺎﺳﺐ ﻣﺎﺑﯿﻦ ﻧﺘﺎﯾﺞ ﺑﺪ ﺳﺖ آﻣﺪه ا ﺳﺖ. ﺑﺮاي ﻣﺜﺎل، در زاوﯾﻪ ا ﺻﻄﮑﺎك داﺧﻠﯽ، ﻣﻘﺎدﯾﺮ ﻧﻤﻮدار ﻇﺮﻓﯿﺖ ﺑﺎرﺑﺮي ﺑ ﺴﯿﺎر ﻧﺰدﯾﮏ ﺑﻪ راﺑﻄﻪ ﻣﺎﯾﺮﻫﻮف ﺑﻮده و ﻧﻤﻮدار آﻧﻬﺎ ﯾﮏ ﻫﻤﭙﻮ ﺷﺎﻧﯽ را ﻧﺸﺎن ﻣﯽدﻫﺪ
Keywords :
Particle flow code , Bearing capacity , Rock foundations , Shear failure mechanism
Journal title :
Journal of Mining and Environment