The Principal Stresses of Soil Mass in the Direction of Plane Strain

Abstract

The characteristics of deformation and strength of soils under the plane strain condition can be simplified as a two-dimensional problem. How to easily and reasonably determine the value of principal stress in the direction of plane strain is the key point. Based on the Elastic-plastic stress-strain relationship for soil and test data under the plane strain condition, it is assumed that the relationship between principal stresses in plain strain direction and the principal stresses in the other directions is bilinear. The parameters of bilinear function are determined by one-dimensional consolidation and failure state. The principal stress in plain strain direction is expressed as a function of stress states and material properties. Compared with test results, the rationality of the proposed bilinear principal stress function is testified.

Experimental Study on Mechanical Behavior of Concrete Loading along Path (Constant Stress, Constant Strain, Increasing Strain)

“…In Table 2, the minimum principal stress significantly influences the strength of concrete, the greater the minimum principal stress is, the greater the concrete strength is; In figure 1, the stress in Z direction is always smaller than that in y direction, So the principal stress in z direction where strain is a constant value is the middle principal stress. Lu De-chun [11] and Li Guang-Xin [12,13] have studied the principal stress of soil in plane strain condition, one of their loading paths is similar to the one mentioned here.…”

The Mechanical Behavior and Constitutive Model Study of Coarse-Grained Soil under Cyclic Loading–Unloading in Large-Scale Plane Strain Conditions

“…The parameter b is related to the stress level S at the start point of unloading, and there is a power function relationship between them, as shown in Figure 12. This can be calculated using Equation (12).…”

“…The plane strain conditions cause the soil mass to exhibit mechanical and strength characteristics, which are different from those exhibited under triaxial conditions [10,11]. Lu et al [12] studied the principal stress in the direction of plane strain of soil and verified the rationality of the bilinear principal stress function. Pan et al [13] carried out true triaxial tests and plane strain tests on sandstone rubble with different values for the intermediate principal stress ratio.…”