Deformation characteristics of soil under cyclic loading

PU Shao-yun; RAO Jun-ying; YANG Kai-qiang; HUANG Zhi-hong; LI Yong-hui; CHEN Ze-nan; LI Qin; LIU Han-qing

doi:10.16285/j.rsm.2017.11.023

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Deformation characteristics of soil under cyclic loading

更新时间：2026-06-25

- Deformation characteristics of soil under cyclic loading
- Vol. 38, Issue 11, Pages: 3261-3270(2017)
- 作者机构：
  
  1. 贵州大学土木工程学院,贵州,贵阳,550025
  2. 北京科技大学土木与环境工程学院,北京,100083
  3. 贵州大学喀斯特环境与地质灾害防治教育部重点实验室,贵州,贵阳,550025
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2017.11.023
  CLC： TU413.6+2
- Online First：05 June 2018，
  
  Published：2017
- 稿件说明：
移动端阅览
PU Shao-yun, RAO Jun-ying, YANG Kai-qiang, et al. Deformation characteristics of soil under cyclic loading[J]. 2017, 38(11): 3261-3270.
DOI：

PU Shao-yun, RAO Jun-ying, YANG Kai-qiang, et al. Deformation characteristics of soil under cyclic loading[J]. 2017, 38(11): 3261-3270. DOI： 10.16285/j.rsm.2017.11.023.

摘要

为研究循环荷载下土体变形特性，基于已有的分数阶黏壶构建循环荷载下分数阶黏壶，并将其替换为西原模型黏塑性体中的常值黏壶，建立了可描述循环荷载下土体变形规律的分数阶西原模型。当循环荷载应力幅值大于土体临界应力幅值时，模型为反映土体破坏型变形规律的分数阶西原模型；反之，则为反映土体稳定型、临界型变形规律的广义Kelvin模型。采用应力分解法，将循环荷载分解为一个静力荷载和一个平均应力值为0的循环荷载，基于流变力学理论给出了静力作用下基于该模型的流变本构方程，再根据黏弹性力学理论构建了交变应力作用下基于该模型的动态响应本构方程，将已获得的土体流变本构方程与动态响应本构方程叠加，得到新的土体本构方程。结果表明：与既有的试验结果相比，基于分数阶西原模型所建立的本构方程可较好描述循坏荷载下土体各种类型的变形特征，对土体各类型变形曲线的拟合效果较好，拟合系数均在0.90以上，且模型参数值随循环荷载动应力幅值的增大而以幂函数形式减小。

Abstract

This study aims to study the deformation laws of soil under cyclic loading. Based on the existing fractional dashpot

a new fractional-order Nakahara Model (FNM) was established to replace the constant dashpot in the viscoplastic body of Nishihara model under cyclic loading. This model can be used to describe various types of deformation law of soil under cyclic loading. When the stress amplitude of cyclic loading is larger than the critical stress amplitude of soil

the model is regarded as a FNM which can reflect the deformation law of soil failure. On the contrary

it is considered as a generalized Kelvin model which can reflect the law of soil stability and critical deformation. In this study

the cyclic loading was firstly decomposed into a static load and a cyclic load with zero average stress by using the stress decomposition method. Based on the established FNM

a rheology constitutive equation of soil was put forward under the static load

according to the theory of rheological mechanics. Meanwhile

a dynamic constitutive equation of soil was deduced under the alternating stress

by considering the theory of viscoelastic mechanics. Finally

a new constitutive equation of the model was obtained by superimposing the constitutive equations of soil under two different stress conditions. Compared with existing experimental results of soil

the obtained constitutive equation of soil can well describe various types of deformation law of soil under cyclic loading. Moreover

the fitting results of various types of deformation curve of soil showed good performance and the fitted correlation coefficients were above 0.90. Meanwhile

the values of model parameters decreased in power function law with the increase of the dynamic stress amplitude of cyclic loading.

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