基于统一屈服准则超固结土的应力诱导各向异性下负荷面模型  

Stress-induced anisotropic subloading surface model for overconsolidated soilbased on unified yield criterion

作　　者：王智超[1,2] 彭乙芹 秦云 田英辉 罗光财 WANG Zhi-chao;PENG Yi-qin;QIN Yun;TIAN Ying-hui;LUO Guang-cai(Hunan Key Laboratory of Geomechanics and Engineering Safety,Xiangtan University,Xiangtan,Hunan 411105,China;College of Civil Engineering,Xiangtan University,Xiangtan,Hunan 411105,China;Department of Infrastructure Engineering,The University of Melbourne,Victoria,Australia;China Construction Fifth Engineering Division Corp.,Ltd.,Changsha,Hunan 410000,China)

机构地区：[1]湘潭大学岩土力学与工程安全湖南省重点实验室,湖南湘潭411105 [2]湘潭大学土木工程学院,湖南湘潭411105 [3]墨尔本大学基建工程系,澳大利亚维多利亚 [4]中国建筑第五工程局有限公司,湖南长沙410000

出　　处：《岩土力学》2023年第7期1891-1900,1958,共11页Rock and Soil Mechanics

基　　金：湖湘高层次人才聚集工程-创新团队(No.2019RS1059);湖南省教育厅优秀青年项目(No.17B260);国家自然科学基金项目(No.51308485)。

摘　　要：为了描述中主应力对超固结土力学行为的影响,提出了一种表征土体超固结和应力诱导各向异性新的弹塑性本构模型。采用统一表述Mohr-Coulomb、Drucker-Prager、Lade-Duncan和Matsuoka-Nakai 4种屈服准则的形状函数g(θ),将其引入到下负荷面模型中修改临界状态破坏线的斜率M值,从而实现新模型中M值能随洛德角θ改变而变化;选择塑性偏应变增量为迭代变量,利用Newton-Raphson迭代开发了新模型的应力积分算法,编写了UMAT子程序,成功将新模型嵌入大型商业有限元软件ABAQUS中。结果表明:新模型能同时表征土体的超固结、剪胀和应力诱导各向异性,预测结果与试验数据吻合良好;新模型物理意义明确表述简单,便于工程推广应用;新模型的应力积分算法收敛速度快,每个增量步所需的迭代次数少,收敛精度高,算法运行稳定可靠。To describe the influence of intermediate principal stress on the mechanical behavior of overconsolidated soil,a novel elastic-plastic constitutive model was proposed to produce the characteristics of over consolidation and stress-induced anisotropy of soil.The shape function g(θ),which can uniformly describe the four yield criteria of Mohr-Coulomb,Drucker-Prager,Lade-Duncan,and Matsuoka-Nakai,is introduced into the subloading yield surface model to modify the M value so that the M value can change with Lode Angleθin the new model.The plastic deviatoric strain increment was selected as the iteration variable.The stress integration algorithm of the new model was achieved by Newton-Raphson iteration,and the UMAT subroutine was written.The new model has been implemented into a large commercial finite element software ABAQUS.The results show that:1)The new model can simultaneously characterize the over consolidation,dilatancy,and stress-induced anisotropy of soil,and the predicted results are in a good agreement with the experimental data.2)The physical meaning of the new model is clear and simple,which is convenient for engineering promotion and application.3)The stress integration algorithm of the new model has a fast convergence speed,fewer iterations per incremental step,high convergence accuracy,and robustness.

关 键 词：超固结土 各向异性 统一屈服准则 下负荷面 应力积分算法 

分 类 号：TU431[建筑科学—岩土工程]