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Fractional creep constitutive model of frozen soil considering strengthening and weakening effects

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Document pages: 12 pages

Abstract: The triaxial creep tests of sand mixed frozen silty clay under different pressures are carried out. The test results show that under low confining pressure, when the shear stress is lower than the long-term strength, the sample shows attenuated creep, because the strengthening effect is greater than the weakening effect. When the shear stress is higher than the long-term strength, the specimen shows non attenuation creep, which is due to the change of strengthening and weakening effect levels in different stages. With the increase of confining pressure, the specimen only shows attenuated creep due to the strengthening effect. Hardening parameters and damage variables are introduced to describe the strengthening and fatigue properties of materialsening effects, respectively, and a new creep constitutive model for frozen soil considering these effects was put forward based on the theory of elastoviscoplastic and the fractional derivative. Finally, the model parameters were analyzed and their determination method was also provided to reveal the trend of parameters according to the triaxial test results. The calculated results of the constitutive model show that the proposed model can describe the whole creep process of frozen soil well.

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