The direction of stress has an obvious influence on the mechanical properties of soils under the static and dynamic conditions. This is mainly because that geomaterials are anisotropic in general. Mechanical analysis shows that the increment of stress can be divided into the coaxial component and the rotational component of which the coupling change of shear stress and normal stress in the physical space can be used to measure the direction of the principal stress. In light of the shear-normal stress ratio, a simple nonlinear model which can simulate the deformation behavior of soils under complex stress path is proposed. The stress–strain relationship of the model in the form of component is established considering the initial shear modulus and the peak strength of soil which are closely related to the anisotropy of soil and the direction of stress. Comparisons of predicted and measured results of tests under complex stress paths show that the newly build model can capture deformation characteristics of cohesive soil and granular materials reasonable wells.
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