A novel creep constitutive model based on Abel model for soil under cyclic loading

A novel creep constitutive model based on Abel model for soil under cyclic loading

International Congress on the Phenomenological Aspects of Civil Engineering (PACE 2021)
Volume 1 - Issue 1 - PACE-2021

Shaoyun Pu Zhiduo Zhu

Abstract

In geotechnical engineering, the creep problem of soil under cyclic loading is often involved. To describe the creep behavior of soil under cyclic loading, a novel creep constitutive model based on fractional Abel model, which describe the stable and destructive creep behaviors of soil under cyclic loading, was constructed. In this styudy, the cyclic loading was decomposed into a average static load and a cyclic loading with a zero average stress. The creep constitutive equation based on Abel model was given under the static load according to rheological mechanics theory, and the dynamic constitutive equation of soil under the decomposed loading was deduced according to viscoelastic mechanics theory. In the process, in order to reflect the influence of soil damage and plastic deformation on energy storage and energy consumption compliance of the ideal Abel model. The energy storage and consumption compliance variation parameters were introduced. Finally, a new creep constitutive equation of soil under cyclic loading could be obtained by superimposing the constitutive equation of soil under the decomposed static load and cyclic loading. The results showed the established creep constitutive model of soil under cyclic loading could be used to describe various creep behaviors of soil under cyclic loading, the model curves correlated very well with the experimental data, the obtained model parameters variation with increasing the dynamic stress amplitude of cyclic loading presented certain regularity, but the parameters change was discontinuous for stable creep and destructive behaviors.

Keywords

Soil mechanics, Cyclic loading, Abel model, Rheological mechanics, Viscoelastic mechanics, Creep behavior
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