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
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 ()