Analysis on Stability of Slope with Crack Based on Upper Limit Theorem
Cracks have an important effect on the stability of slope,but they are usually neglected in the design of slope stability codes.Based on the upper limit theorem of limit analysis,the stability and fracture surface shape of slope with different crack length,dip angle,strength(internal friction angle)and reinforcement are studied by finite element limit analysis.The results show that the slope stability decreases with the increase of crack length,especially when the slope ratio is small.The safety factor of slope increases first and then decreases with the increase of crack inclination,and the safety factor of vertical crack is the largest.The safety factor of slope increases with the increase of crack strength,especially when there are long cracks in the slope.Reinforcement can keep the fracture surface away from the slope surface and enhance the integrity of the slope,thus improving the stability of the slope.In engineering design,the design of prevention and drainage should be strengthened to reduce the risk of rain-induced cracks.In order to avoid slope instability caused by crack development,it is recommended to lay reinforcement.