Fractional Calculus-Based Statistical Damage Model of Unsaturated Soil under the Coupling Effect of Moistening and Stress Fields

Unsaturated soil exhibits extremely complex engineering mechanical properties under the coupling effect of moistening and stress fields. Firstly, effective principle limit equilibrium conditions unsaturated fields were discussed based on basic principles soil. Secondly, a fractional-order model considering viscoelasticity strain hardening was established fractional calculus theory. Then, damage mechanics, variable evolution equation established, calculus-based statistical constitutive developed. In turn, parameters developed solved using triaxial test loess, calculated data compared with experimental data, which demonstrated that in this paper performed well describing whole process Finally, sensitivity main fields, showed proposed reflecting loess.