基于L-D流动法则模糊弹粘塑性的有限变形分析

王喜刚; 扶名福

doi:10.3879/j.issn.1000-0887.2015.02.002

基于L-D流动法则模糊弹粘塑性的有限变形分析

doi: 10.3879/j.issn.1000-0887.2015.02.002

王喜刚^1,2,
扶名福¹

¹南昌大学工程力学研究所, 南昌 330031;²辽宁科技学院资源与土木工程学院, 辽宁本溪 117004

基金项目: 国家自然科学基金（11362016）；教育部博士学科点专项科研基金（20123601110001）

详细信息

作者简介:
王喜刚（1981—），男，吉林长岭人，讲师，博士(通讯作者. E-mail: fx_wxg@163.com).

中图分类号: TU435
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出版历程
- 收稿日期: 2014-04-02
- 修回日期: 2014-11-22
- 刊出日期: 2015-02-15

Fuzzy Elasto-Visco-Plasticity Analysis of Finite Deformation Based on the L-D Plastic Flow Rule

WANG Xi-gang^1,2,
FU Ming-fu¹

¹Center of Engineering Mechanical Experiment, Nanchang University, Nanchang 330031, P.R.China;²College of Resources and Civil Engineering, Liaoning Institute of Science and Technology, Benxi, Liaoning 117004, P.R.China

Funds: The National Natural Science Foundation of China（11362016）

摘要

摘要: 为了进行岩土材料有限变形的动力分析，采用Green应变和第二类Kirchoff应力描述材料的几何非线性。将隶属度函数引入到屈服函数中，并采用L-D屈服准则，得到了基于L-D流动法则的模糊弹粘塑性本构模型。应用非线性有限元原理，得到了土样动三轴实验有限变形的数值结果，并与小变形的数值结果和土样的动三轴实验结果进行了对比。通过对比发现有限变形的结果更加接近动三轴的实验结果，且模糊弹粘塑性模型能很好地反映循环荷载作用下岩土的动力性质，是岩土动力分析的一种有效方法.
- 隶属度函数 /
- 模糊弹粘塑性 /
- L-D流动法则 /
- 有限变形 /
- 动三轴实验
Abstract: To dynamically analyze the finite deformation of rock and soil materials, the Green strain and the 2nd Kirchoff stress were used to describe their geometric nonlinearity. Through introduction of a membership function into the yield function, a fuzzy elasto-visco-plastic constitutive model based on the L-D plastic flow rule was built. According to the principle of nonlinear finite element, the numerical finite-deformation results corresponding to the dynamic triaxial soil tests were obtained, and compared with those traditional small-deformation results. The comparison shows that the finite-deformation results were closer to the dynamic triaxial tested results. Moreover, the fuzzy elasto-visco-plastic model well reflects the soil and rock dynamic properties under cyclic loading, and thus makes an effective way for soil and rock dynamic analysis, given its relatively simpler mathematical formulation and more convenience for finite element programming.
- membership function /
- fuzzy elasto-visco-plasticity /
- L-D plastic flow rule /
- finite deformation /
- dynamic triaxial test

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