基于非线性泊松比修正的邓肯-张E-ν模型及应用研究  

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[1,2] 王晅 李扬波[1] MAO Guocheng;CHEN Xiaobin;WANG Xuan;LI Yangbo(School of Civil Engineering,Central South University,Changsha 410075,China;Ministry of Education Key Engineering Laboratory for Heavy-haul,Changsha 410075,China;National Engineering Laboratory for Construction Technology of High Speed Railway,Changsha 410075,China)

机构地区：[1]中南大学土木工程学院,湖南长沙410075 [2]重载铁路工程结构教育部重点实验室,湖南长沙410075 [3]高速铁路建造技术国家工程实验室,湖南长沙410075

出　　处：《铁道科学与工程学报》2019年第1期71-78,共8页Journal of Railway Science and Engineering

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)

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-νmodel 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-νmodel tangent Poisson's ratio to establish a modified Duncan-Chang E-νconstitutive model.A user subroutine(UMAT)for the modified Duncan-Chang E-νconstitutive 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-νconstitutive 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.

关 键 词：粗粒土 高铁路基填料 非线性泊松比 邓肯-张模型 

分 类 号：TU443[建筑科学—岩土工程]