基于非线性泊松比修正的邓肯-张E-ν模型及应用研究

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英文篇名：Modified Duncan-Chang E-ν constitutive model using non-linear Poisson's ratio and its application analysis 作者：毛国成 ; 陈晓斌 ; 王晅 ; 李扬波 英文作者：MAO Guocheng;CHEN Xiaobin;WANG Xuan;LI Yangbo;School of Civil Engineering, Central South University;Ministry of Education Key Engineering Laboratory for Heavy-haul;National Engineering Laboratory for Construction Technology of High Speed Railway; 关键词：粗粒土 ; 高铁路基填料 ; 非线性泊松比 ; 邓肯-张模型 英文关键词：coarse-grained soil;;B group fillings;;non-linear Poisson's ratio;;Duncan-Chang model 中文刊名：CSTD 英文刊名：Journal of Railway Science and Engineering 机构：中南大学土木工程学院;重载铁路工程结构教育部重点实验室;高速铁路建造技术国家工程实验室; 出版日期：2019-01-15 出版单位：铁道科学与工程学报 年：2019 期：v.16;No.106 基金：国家自然科学基金资助项目(51678575);; 中国铁路总公司科技研究开发计划项目(2016G003-B) 语种：中文; 页：CSTD201901010 页数：8 CN：01 ISSN：43-1423/U 分类号：77-84

摘要

针对邓肯-张E-ν模型在低应力状态下粗颗粒土体变特性描述不足的问题,分析高速铁路B组粗颗粒土填料大型三轴试验得到轴向应变与横向应变的变化特征,提出基于二次函数的非线性泊松比公式。将非线性泊松比代替邓肯-张E-ν模型切线泊松比,建立基于非线性泊松比修正的邓肯-张E-ν模型。采用中点增量法和Abaqus二次开发平台,编写修正邓肯-张模型的用户子程序(UMAT)。通过粗粒土三轴试验的数值模拟,对修正邓肯-张模型程序的可行性进行应用研究。研究结果表明:基于非线性泊松比修正的邓肯-张模型的轴向应变-体积应变计算结果与实验实测结果一致,可真实反映粗粒土填料的轴向应变-体积应变趋势。
        This study aims to modify the insufficiency on Duncan-Chang E-ν model when it is used to predict the volumetric strain of coarse-grained soil under lower stress conditions. The characteristics of axial strain and transverse strain obtained from large-scale triaxial tests on coarse-grained soil filler of Group B in high-speed railway embankment were analyzed. A non-linear Poisson's ratio formula was proposed based on quadratic function. The non-linear Poisson ratio was used to replace the Duncan-E-ν model tangent Poisson's ratio to establish a modified Duncan-Chang E-ν constitutive model. A user subroutine(UMAT) for the modified Duncan-Chang E-ν constitutive model was developed using the midpoint increment method. The user subroutine(UMAT) can be used in Abaqus. Finally, through the numerical simulation of the triaxial test of coarse-grained soil, the feasibility of modified Duncan-Chang E-ν constitutive model is studied. The application results show that the calculated axial strain-volumetric strain of modified Duncan-Chang model is in good agreement with the experimental results, which truly reflects the axial strain-volume strain trend of coarse-grained soil filler.

引文

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