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基于分数阶微积分的 Q2黄土含水损伤蠕变模型

唐皓 段钊 赵法锁 宋飞 李香凝

长江科学院院报Issue(8):78-83,6.
长江科学院院报Issue(8):78-83,6.DOI:10.3969/j.issn.1001-5485.2015.08.014

基于分数阶微积分的 Q2黄土含水损伤蠕变模型

Creep Damage Model of Q2 Loess in Consideration of Moisture Content Based on Fractional Calculus

唐皓 1段钊 2赵法锁 3宋飞 4李香凝4

作者信息

  • 1. 成都理工大学 地质灾害防治与地质环境保护国家重点实验室,成都 610059
  • 2. 长安大学 地质工程与测绘学院,西安 710054
  • 3. 西安科技大学地质与环境学院,西安 710054
  • 4. 长安大学 地质工程与测绘学院,西安 710054
  • 折叠

摘要

Abstract

Triaxial creep tests on Q2 loess of different moisture contents were carried out to explore the creep proper-ties of water-containing Q2 loess.Test results show that the rheological property of Q2 loess strengthens with the in-crease of moisture content.Furthermore,since the soft-matter element built by fractional calculus could simulate the material between ideal solid and ideal fluid,a four-element nonlinear creep model which contains the soft-matter element was applied to fit data,and the model parameters under different moisture contents were analyzed.The re-sults suggest that instantaneous deformation modulus EH and viscoelastic coefficient ξ1 have a negative relationship with moisture content with an exponential decline.A water damage evolution equation of each creep parameter was obtained by introducing the water damage variable D(ω),which was further used to establish a nonlinear creep mod-el in consideration of water damage effect.The nonlinear creep model was verified by test data.It was proved that the nonlinear creep model considering water damage could effectively characterize the overall rheological property of Q2 loess,and has a good application prospect.

关键词

Q2 黄土/蠕变试验/含水率/非线性/损伤/蠕变模型

Key words

Q2 loess/creep test/moisture content/nonlinear/damage/creep model

分类

建筑与水利

引用本文复制引用

唐皓,段钊,赵法锁,宋飞,李香凝..基于分数阶微积分的 Q2黄土含水损伤蠕变模型[J].长江科学院院报,2015,(8):78-83,6.

基金项目

中央高校基本科研业务费专项资助项目 ()

长江科学院院报

OA北大核心CSCDCSTPCD

1001-5485

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