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A non-associated fractional-order plasticity model of rockfill material without using yield function
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A non-associated fractional-order plasticity model of rockfill material without using yield function
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A non-associated fractional-order plasticity model of rockfill material without using yield function
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Journal Article
A non-associated fractional-order plasticity model of rockfill material without using yield function
2023
Overview
The plastic potential surface and yield surface need to be established separately due to the difference between the plastic flow direction and loading direction in the soil modeling in traditional plasticity mechanics. However, the difference between the plastic flow direction and loading direction can be described by choosing one of the plastic potential surface and yield surface by introducing the fractional calculus. For that, the new modeling approach by using the fractional derivative of Riemann–Liouville is adopted in this study. First, a plane model for peak stress ratio considering the initial void ratio and confining pressure is proposed, and a dilatancy equation considering particle breakage for rockfill material is employed to derive a plastic potential function. Then, the fractional derivative direction and first derivative direction of the plastic potential function are deduced and developed as the loading direction and plastic potential direction, respectively. On this basis, a non-associated fractional-order plastic model without yield function is developed for rockfill material. Finally, a number of drained triaxial test results of rockfill materials are simulated to verify the capability of the proposed model. Good agreement between test data and model simulations indicates that the proposed fractional-order plasticity model can accurately capture the stress–strain behaviors of rockfill materials.
