Cyclic mobility behaviour of sand by the three‐dimensional strain space multimechanism model

The cyclic mobility behaviour of sand by the three-dimensional (3-D) strain space multimechanism model based on the micromechanics of granular material is investigated. The constitutive properties are characterized by the volumetric and shear mechanisms for the initial isotropic soil. The 3-D shear mechanism is decomposed into a number of microscopic plane-strain shear mechanisms in various orientations, each of which in turn consists of a number of microscopic simple shear mechanisms. Using an appropriate summation of mechanisms, the total deformation behaviour can be obtained by evaluating contributions from each mechanism. Based on the some assumptions, the dilatancy model proposed by Iai et al.1 is extended from the two-dimensional (2-D) space to the 3-D space. Comparisons of theoretically predicted results are made with experimental measurements.