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统一弹塑性本构模型在FLAC3D中的计算格式
引用本文:张传庆,周辉,冯夏庭. 统一弹塑性本构模型在FLAC3D中的计算格式[J]. 岩土力学, 2008, 29(3): 596-602
作者姓名:张传庆  周辉  冯夏庭
作者单位: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
基金项目:国家自然科学基金 , 国家自然科学基金 , 中国科学院岩土力学研究所岩土力学与工程国家重点实验室开放研究基金
摘    要:统一强度理论是一个有着坚实理论基础、可表达各种岩土材料强度特性且被广泛应用的新的强度理论。FLAC3D是一个具有强大的计算分析功能且专门针对岩土工程问题开发并被广泛应用的数值分析软件。若能将二者结合起来,无疑会大大促进岩土工程领域相关问题的解决。针对这一问题,研究了统一弹塑性本构模型在有限差分方法中应用的基本理论格式。根据FLAC3D软件中UDM接口计算格式的要求,将统一强度理论引入其中,详细推导了统一弹塑性本构模型在FLAC3D软件中应用的计算公式。由于统一屈服面在应力空间内由12个面组成,在应力角为[0,π/3]的范围内,统一屈服面由两个相交面组成,为计算塑性因子及处理计算中应力超出屈服面的应力调整问题,利用应力角分析了应力空间的分区,推导了区域分界面的公式。最后,编制了相应的UDM接口程序对一圆形隧洞进行了弹塑性分析,对比了计算结果与解析解,结果很好地验证了此计算格式及相应接口程序的正确性。统一强度理论和FLAC3D软件的结合,将使二者的优点得以充分发挥,以解决更多的岩土工程问题。

关 键 词:弹塑性本构模型  FLAC3D  统一强度理论  塑性流动理论  屈服面  
文章编号:1000-7598-(2008)03-0596-07
收稿时间:2007-07-05
修稿时间:2007-07-05

Numerical format of elastoplastic constitutive model based on the unified strength theory in FLAC3D
ZHANG Chuan-qing,ZHOU Hui,FENG Xia-ting. Numerical format of elastoplastic constitutive model based on the unified strength theory in FLAC3D[J]. Rock and Soil Mechanics, 2008, 29(3): 596-602
Authors:ZHANG Chuan-qing  ZHOU Hui  FENG Xia-ting
Affiliation:State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China
Abstract:The unified strength theory is a new theory system which can almost describe the strength characters of most geomaterials and has been applied widely. And FLAC3D is an excellent geotechnical program. If the former can be integrated in the later, many complex problems in engineering will be settled well. So according to this problem, the numerical scheme of elastoplastic unified constitutive model in FLAC3D was studied. And the numerical format of the elastoplastic constitutive model based on the unified strength theory was derived. The corresponding UDM interface codes were programmed. Finally, a circle tunnel case is analyzed using this program. The corresponding simulated results are presented and compared with the analytic solution. The comparison expresses a good agreement with the analytic solution and verifies the validity of the numerical scheme and the codes. The merits of the unified strength theory and the FLAC3D program will be utilized well in geo-engineering after their combination.
Keywords:elastoplastic constitutive model  FLAC 3D  unified strength theory  plastic flow theory  yield surface  
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