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基于最大能量耗散率原理的黄土本构模型参数的研究

Study on Parameters of Loess Constitutive Model for Elastic-plastic Deformation Based on the Principle of Maximum Energy Dissipation Rate

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【作者】 付成博; 范文; 邓龙胜; 马利锋; 魏亚妮;

【Author】 FU Chengbo;FAN Wen;DENG Longsheng;MA Lifeng;WEI Yani;School of Geology Engineering and Geomatic, Chang’an University;China Electronic Research Institute of Engineering Investigation and Design;Key Laboratory of Western China’s Mineral Resources and Geological Engineering, Ministry of Education;Department of Engineering Mechanics, Xi’an Jiaotong University;

【通讯作者】 魏亚妮;

【机构】 长安大学地质工程与测绘学院; 信息产业部电子综合勘察研究院; 西部矿产资源与地质工程教育部重点实验室; 西安交通大学工程力学系;

【摘要】 基于最大能量耗散率原理的黄土弹塑性本构模型,设计出获取该模型参数的室内试验方案,并以泾阳南塬为研究区域,研究不同含水率下Q3马兰黄土本构参数的取值范围和硬化函数的形式。研究结果表明:泾阳南塬Q3马兰黄土塑性剪应变的硬化函数呈双曲线型,其参数a取值范围在0.002至0.02之间,参数b在0.01至0.05之间;塑性体应变的硬化函数呈三次函数型,其参数m1、m2、m3取值在0.001至1之间;体积模量K取值在40 MPa至130 MPa之间,剪切模量G取值在20 MPa至60 MPa之间;与试验数据对比验证,该本构模型通过试验方案取得的参数,可以准确地描述泾阳南塬Q3马兰黄土的应力应变关系。

【Abstract】 The traditional loess constitutive model is mainly composed of elastic model and elastic-plastic model. However, the assumption of elastic model on soil is too simple, and the elastic-plastic model sometimes does not meet the law of thermodynamics. Therefore, the loess constitutive model for elastic-plastic deformation based on the principle of maximum energy dissipation rate is more rigorous. Based on the constitutive model, a laboratory test scheme was designed to obtain the parameters of the model. Taking Southern Jing-Yang plateau as the study area, the value range of constitutive parameters and the form of hardening function of Q3 Malan loess under different water content were studied. The results show that: the hardening function of the plastic shear strain of Q3 Malan loess in Southern Jing-Yang plateau is hyperbolic, the value of parameter a ranges from 0.002 to 0.02,and that of parameter b ranges from 0.01 to 0.05; the hardening function of the plastic body strain is cubic, and its parameters m1、m2、m3 are between 0.001 and 1;the volume modulus K ranges from 40 MPa to130 MPa and the shear modulus G ranges from 20 MPa to 60 MPa; compared with the experimental data, the constitutive model can accurately describe the stress-strain relationship of Q3 Malan loess in Southern Jing-Yang plateau by using the parameters obtained from the experimental scheme.

【基金】 国家自然科学基金资助项目(41630634,42002285,41877245)
  • 【文献出处】 河北工程大学学报(自然科学版) ,Journal of Hebei University of Engineering(Natural Science Edition) , 编辑部邮箱 ,2022年03期
  • 【分类号】TU444
  • 【下载频次】69
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