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Slip Line Field Theory of Geotechnical Plane-strain Based on SMP Failure Criterion

WANG Shuo1,DUAN Xin-sheng1,GU Xiang2(1.Faculty of Engineering,China University of Geosciences,Wuhan 430074,China;2.Faculty of Mechanical & Electronic Information,China University of Geosciences,Wuhan 430074,China)  
This paper demonstrates that intermediate principal stress σ2=(σ1σ3)~(1/2) is more suitable for geotechnical materials under plane strain failure condition,puts forward plane-strain slip line field theory based on the SMP failure criterion and points out the difference of the theory,in comparison with the slip line field theory based on Mohr-Coulomb failure,is that the intermediate principal stress effect is considered and the values of soil strength parameters are improved by about 15% to 37%.Case study shows that Prandtl solution value based on the new theory is greater to a certain degree than both Prandtl and Terzaghi solution values based on Mohr-Coulomb failure criterion,and the critical height of the vertical pit wall calculated based on SMP failure criterion is greater than the critical height calculated based on Mohr-Coulomb failure criterion.The theory developed in this paper promotes the geotechnical plane strain slip line field theory,solves the problems of calculation methods considering real stress state in geotechnical engineering,and can produce some economic benefits in geotechnical engineering.
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