层状岩体各向异性弹塑性模型及其数值实现
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摘要
基于层状岩体变形及强度的各向异性特征,在McLamore&Gray强度准则的基础上,利用Mohr-Coulomb强度准则与Drucker-Prager强度准则之间的参数变换关系,将各向同性Drucker-Prager强度准则推广到层状岩体中,并由此建立层状岩体的各向异性弹塑性本构模型。给出此本构模型的隐式积分算法及一致切线刚度矩阵,并利用ABAQUS所提供的用户材料子程序UMAT接口,对模型进行数值实现,用以对层状岩体进行应力变形分析。
Based on the anisotropic characteristics of deformation and strength of layered rock masses and the McLamore & Gray strength criterion,the isotropic Drucker-Prager strength criterion is extended to the layered rock masses by making use of the conversion relationship between the Mohr-Coulomb strength criterion and the Drucker-Prager strength criterion.Then,the anisotropic elasto-plastic constitutive model of layered rock masses is given.And the model is embeded in ABAQUS for stress and deformation analysis of layered rock masses based on the deduction of the implicit intergration algorithm and consistent tangent modulus.
Based on the anisotropic characteristics of deformation and strength of layered rock masses and the McLamore & Gray strength criterion,the isotropic Drucker-Prager strength criterion is extended to the layered rock masses by making use of the conversion relationship between the Mohr-Coulomb strength criterion and the Drucker-Prager strength criterion.Then,the anisotropic elasto-plastic constitutive model of layered rock masses is given.And the model is embeded in ABAQUS for stress and deformation analysis of layered rock masses based on the deduction of the implicit intergration algorithm and consistent tangent modulus.
引文
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[8]叶志才,徐磊,王超.基于ABAQUS的三维锚杆单元开发[J].三峡大学学报(自然科学版),2008,30(5):29-32.(Ye Zhicai,Xu Lei,Wang Chao.Development of 3D bolt element based on ABAQUS[J].Journal of China Three Gorges University(NaturalSciences),2008,30(5):29-32.(in Chinese))
[9]王勖成,邵敏.有限元法基本原理和数值方法[M].北京:清华大学出版社,1997.(Wang Xuchen,ShaoMin.Fundamentals and numerical methods for finiteelement method[M].Beijing:Tsinghua UniversityPress,1997.(in Chinese))
[10]王庆五,杨晓光,石多奇.统一粘塑性本构方程一致切线刚度矩阵的研究[J].航空动力学报,2007,22(11):1 898-1 902.(Wang Qingwu,YangXiaoguang,Shi Duoqi.Research on consistent tangentmodulus for unified viscoplastic constitutive equation[J].Chinese Journal of Aerospace Power,2007,22(11):1 898-1 902.(in Chinese))
[2]徐素国,梁卫国,莫江,等.软弱泥岩夹层对层状盐岩体力学特性影响研究[J].地下空间与工程学报,2009,5(5):878-883.(Xu Suguo,Liang Weiguo;MoJiang,et al.Influence of weak mudstone intercalatedlayer on mechanical properties of laminated salt rock[J].Chinese Journal of Underground Space andEngineering,2009,5(5):878-883.(in Chinese))
[3]耿大新,杨林德.层状岩体的力学特性及数值模拟分析[J].地下空间,2003,23(4):380-383.(GengDaxin,Yang linde.Mechanical properties andnumerical simulation of sandwich rock[J].ChineseJournal of Underground Space and Engineering,2003,23(4):380-383.(in Chinese))
[4]Duveau G,Shao JF,Henry JP.Assessment of somefailure criteria for strongly anisotropic geomaterials[J].Mechanics of Cohesive-Frictional Materials,1998,3(1):1-26.
[5]McLamore R,Gray KE.The mechanical behavior ofanisotropic sedimentary rocks[J].Journal ofEngineering for Industry,Trans of the ASME,1967,89:62-76.
[6]邓楚键,何国杰,郑颖人.基于M-C准则的D-P系列准则在岩土工程中的应用研究[J].岩土工程学报,2006,28(6):735-739.(Deng Chujian,HeGuojie,Zheng Yingren.Studies on Drucker-Prageryield criterions based on M-C yield criterion andapplication in geotechnical engineering[J].ChineseJournal of Geotechnical Engineering,2006,28(6):735-739.(in Chinese))
[7]庄海洋,陈国兴,胡晓明.两层双柱岛式地铁车站结构水平向非线性地震反应分析[J].岩石力学与工程学报,2006,25(S1);3 074-3 079.(ZhuangHaiyang,Chen Guoxing,Hu Xiaoming.Analysis ofnonlinear earthquake response of two-layer double-column subway station structure[J].Chinese Journal ofRock Mechanics and Engineering,2006,25(S1);3074-3 079.(in Chinese))
[8]叶志才,徐磊,王超.基于ABAQUS的三维锚杆单元开发[J].三峡大学学报(自然科学版),2008,30(5):29-32.(Ye Zhicai,Xu Lei,Wang Chao.Development of 3D bolt element based on ABAQUS[J].Journal of China Three Gorges University(NaturalSciences),2008,30(5):29-32.(in Chinese))
[9]王勖成,邵敏.有限元法基本原理和数值方法[M].北京:清华大学出版社,1997.(Wang Xuchen,ShaoMin.Fundamentals and numerical methods for finiteelement method[M].Beijing:Tsinghua UniversityPress,1997.(in Chinese))
[10]王庆五,杨晓光,石多奇.统一粘塑性本构方程一致切线刚度矩阵的研究[J].航空动力学报,2007,22(11):1 898-1 902.(Wang Qingwu,YangXiaoguang,Shi Duoqi.Research on consistent tangentmodulus for unified viscoplastic constitutive equation[J].Chinese Journal of Aerospace Power,2007,22(11):1 898-1 902.(in Chinese))
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