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Abstract In order to explore the deformation of soil due to the rotation of principal stress axes，the following ideas are adopted to establish a model. (1) The results of single shear test on two dimensional aluminum rods are analyzed. The relationship of the ratio of the shear stress to the normal stress(shear stress ratio) with the shear strain is similar to the hyperbolic curve. The Weibull function is adopted to describe the relationship of shear stress ratio and shear strain which describes both the strain hardening and softening. (2) An implicit function about the shear strain is established by combining the shear stress ratio equation in Mohr?s circle and Weibull function. There are three factors influencing the shear strain，including the mean stress p under isotropic or deviatoric compressions， the mobilized friction angle corresponding to the general deviatoric stress state and the half of angle between the shear stress and larger principal stress axe. (3) An incremental equation about the shear strain and shear stress ratio is established by differentiating the above implicit equation. A two dimensional incremental constitutive equation is established by combining the above stress ratio equation and Rowe dilatancy equation. A three-dimensional incremental constitutive equation is derived by expanding the above model adopted by SMP criterion. The compression hardening，shear shrinkage，shear dilation，hardening and softening are reflected in the proposed model(WB). A general stress-strain relationship considering the rotation of principal stress axes is thus derived. The applicability and rationality of the proposed model are verified by comparison of the experimental and calculated results.
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2017, Vol. 36 
