摘要
基于广义双τ2强度理论建立非关联流动的弹塑性本构模型(文中简称Dτ2弹塑性本构模型),并采用应力张量第一不变量I1,应力偏张量的第二不变量J2以及洛德角θσ来表达该强度理论,推导Dτ2弹塑性本构模型的完全隐式本构积分算法,并给出相应的有限元实施步骤.广义双τ2强度理论在数值实施方面避免了"奇异屈服面"处理困难的问题,其数值实现相对简单.基于推导的本构积分算法编制求解程序,采用Prandtl经典问题解析解进行了Dτ2弹塑性本构模型以及实施方法的正确性验证,对比Dτ2弹塑性本构模型、DP本构模型以及Prandtl理论解析之间的关系,该强度理论和程序可以广泛应用于土木、采矿和水利等岩土工程安全性及稳定性的分析研究.
The non-associative flow elastic-plastic constitutive model(Dτ2)which is expressed by the first invariant of stress tensor I1,the second invariant of stress deviator J2,and Lode angleθσis established based on the generalized doubleτ2 strength theory.The constitutive integration algorithm of the elastic-plastic constitutive model Dτ2 is derived,and the steps of finite element implementation of the elastic-plastic constitutive model are given.Avoid the problem of"singular yield surface"in the numerical implementation,and the numerical implementation is relatively simple.The program is compiled based on the derived constitutive integration algorithm,and the correctness of the elastic-plastic constitutive model Dτ2 and the implementation method are validated by the analytical solution of Prandtl problems.Compare the relationship between the elastic-plastic constitutive model Dτ2,DP constitutive model and an analysis solution of Prandtl.The strength theory and the program can be applied to civil engineering,mining engineering and hydraulic engineering,etc.The security and stability analysis of geotechnical engineering can be researched using them.
作者
王军祥
陈四利
董建华
WANG Junxiang;CHEN Sili;DONG Jianhua(School of Architecture and Civil Engineering,Shenyang University of Technology,Shenyang 110870,China;Key Laboratory of Disaster Prevention and Mitigation in Civil Engineering of Gansu Province,Lanzhou University of Technology,Lanzhou 730050,China)
出处
《应用基础与工程科学学报》
EI
CSCD
北大核心
2020年第1期160-173,共14页
Journal of Basic Science and Engineering
基金
国家自然科学基金项目(51608332,51774066)
辽宁省博士启动基金项目(201601160)
辽宁省教育厅项目(201564064)
沈阳工业大学博士培育基金项目(005655).
关键词
非关联流动法则
弹塑性本构模型
本构积分算法
Prandtl理论
non-associative flow rules
elastic-plastic constitutive model
constitutive integration algorithm
Prantdl theory
作者简介
王军祥(1985—),男,讲师.E-mail:w.j.xgood@163.com
