基于修正Mohr-Coulomb准则的弹塑性本构模型及其数值实施  

An elastoplastic constitutive model based on modified Mohr-Coulomb criterion and its numerical implementation

作　　者：贾善坡[1,2] 陈卫忠[2,3] 杨建平[3] 陈培帅[3] 

机构地区：[1]长江大学城市建设学院,湖北荆州434023 [2]山东大学岩土与结构工程研究中心,济南250061 [3]中国科学院武汉岩土力学研究所岩土力学与工程国家重点实验室,武汉430071

出　　处：《岩土力学》2010年第7期2051-2058,共8页Rock and Soil Mechanics

基　　金：国家自然科学基金重大国际合作项目(No.50720135906);国家自然科学基金面上项目(No.40772184);863项目(No.2007AA11Z108);国家科技重大专项课题(No.2008ZX05005-006);长江大学科研发展基金项目赞助

摘　　要：针对Mohr-Coulomb准则高估岩土体抗拉性能的局限性,建立考虑最大拉应力准则的修正Mohr-Coulomb模型;系统地论述隐式本构积分算法的主要内容,推导相应的一致性刚度矩阵。以ABAQUS软件为平台,采用向后欧拉隐式应力积分算法编制了UMAT本构程序,对单轴拉伸试验和三轴压缩试验进行数值模拟,对比分析ABAQUS自带模型和自编模型的优劣,结果表明编写的修正Mohr-Coulomb模型能够有效地反映岩土介质的抗拉性能,弥补了ABAQUS自带模型的不足。Due to the conventional Mohr-Coulomb criterion used for geotechnical materials with its limitation for overestimation of tensile performance, a modified Mohr-Coulomb model is established considering maximal tensile stress criterion. The main contents of the implicit constitutive integration algorithm are discussed systematically; and the consistent stiffness matrix is deduced. Based on the implicit Euler stress integration algorithm, the UMAT subroutine of the modified Mohr-Coulomb model is developed in ABAQUS. With the new developed model, the numerical simulation of uniaxial tensile test and triaxial compression test is implemented respectively. The study shows that the developed modified Mohr-Coulomb UMAT subroutine could effectively depict the tensile performance of geotechnical materials and fill up the deficiency of the Mohr-Coulomb model in ABAQUS.

关 键 词：修正Mohr-Coulomb准则 本构模型 应力积分算法 UMAT 

分 类 号：TU452[建筑科学—岩土工程]