The Mohr stress circle theory and strength criterion of friction materials of rock and soil
ZHENGYingren1，XIANG Yuzhou2，GAO Hong3
(1. Department of Military and Civil Engineering，Logistical Engineering University of PLA，Chongqing 400041，China；
2. Department of Civil Engineering，Chongqing University，Chongqing 400041，China；3. State Key Laboratory of Geomechanics and Geotechnical Engineering，Institute of Rock and Soil Mechanics，Chinese Academy of Sciences，Wuhan，Hubei 430071，China)
Abstract：The traditional theory of spatial Mohr stress circle was analyzed in this paper and was found unable to fully reflect the stress state of geo-friction materials under loading in two directions(when consider the medium principle stress). The tests of the geo-friction materials including concrete rock and soil indicated that the compressive strength under biaxial compression was larger than that under uniaxial compression. The bearing capacity of two main shear planes under loading in two directions was suggested to be larger than that of one main shear plane under unidirectional loading. The reason is that the normal stress in the biaxial stress state is larger than the one in the uniaxial stress state，which leads to the friction strength and cohesion to increase. ?1(compression is positive) becomes larger with increasing of ?2，and the Mohr circle becomes larger correspondingly too. Not only the two limit stress circles were changed，but also the three limit stress circles were enlarged when ?2 was increased from ?2 = ?3 = 0 to ?2 = ?1. Therefore，the spatial Mohr circle theory of geo-friction materials adapted to bi-directional loading was established. An energy strength criterion based on traditional spatial Mohr stress circle was developed from the constant strength to variable strength criterion，which reflected the strength characteristics of geo-friction materials under bi-directional loading.
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ZHENGYingren1，XIANG Yuzhou2，GAO Hong3. The Mohr stress circle theory and strength criterion of friction materials of rock and soil. , 2016, 35(6): 1081-1089.
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2016, Vol. 35 
