第5期 王利等:基于强度理论的岩石损伤弹塑性模型 .467. 力一应变曲线特征,因此用潜在滑移面上的塑性位 tutive model of rock and its application in engineering.Chin J 移作软硬化变量是可行的, Geotech Eng.1998.20(5):54 (周维垣,划公瑞,杨若琼.岩体弹脆性损伤本构模型及工程应 (4)模型简单,概念清晰,无需任何假设,只需 用.岩土工程学报,1998,20(5):54) 岩石单轴应力一应变曲线及剪切位移曲线,编程计 [8]Lemaitre J.Introduction to Continuum Damage Mechanics-El- 算方便,同时需要说明,本文的损伤模型只适用于 sevier Science Ltd.2002:235 各向同性损伤,在实际的各向异性损伤分析计算时, [9]Li Q B.Static,dynamie damage constitutive theory of concrete- 选用文献[7]所建立的各向异性损伤模型比较方便, J Hydraul Eng.1995(2):27 (李庆彬.混凝土静,动力双剪损伤本构理论.水利学报,1995 参考文献 (2):27) [10]Chen Y.Rock Properties of the Earth's Crust.Beijing:Seism [1]Xu J.Li H.Xian X F.Experimental research on the whole Press,1988 course of micro fracture developing in sandstone under uniaxial (陈隅.地壳岩石的力学性能.北京:地震出版社,1988.) compression.Mech Eng.1986.8(4):16 [11]Basista M,Gross D.The sliding crack model of brittle deforma- (许江,李贺,鲜学福·对单轴应力状态下砂岩微观断裂发展全 过程的实验研究,力学与实践,1986,8(4):16) tion:an internal variable approach.Int I Solids Struct,1998. 35(5/6):487 [2]Zhao Y H,Huang JF,Wang R.Study of instantaneous observa- tion of microcracks developing in SEM.Chin J Rock Mech Eng. 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(4) 模型简单概念清晰无需任何假设只需 岩石单轴应力-应变曲线及剪切位移曲线编程计 算方便.同时需要说明本文的损伤模型只适用于 各向同性损伤在实际的各向异性损伤分析计算时 选用文献[7]所建立的各向异性损伤模型比较方便. 参 考 文 献 [1] Xu JLi HXian X F.Experimental research on the whole course of micro-fracture developing in sandstone under uniaxial compression.Mech Eng19868(4):16 (许江李贺鲜学福.对单轴应力状态下砂岩微观断裂发展全 过程的实验研究.力学与实践19868(4):16) [2] Zhao Y HHuang J FWang R.Study of instantaneous observation of microcracks developing in SEM.Chin J Rock Mech Eng 199211(3):284 (赵永红黄杰藩王仁.岩石微破裂发育的扫描电镜即时观测 研究.岩石力学与工程学报199211(3):284) [3] Li LXu YLi Q Get al.Microcosmic research on gradual fracturing of granite.Chin J Rock Mech Eng200221(7):940 (李炼徐钺李启光等.花岗岩渐进破坏的微观研究.岩石 力学与工程学报200221(7):940) [4] Ge X RRen J XFu Y Bet al.Macro-mesoscopic Experimental Research on Rock Damage Mechanics.Beijing:Science Press 2004:153 (葛修润任建喜蒲毅彬等.岩土损伤力学宏细观实验研 究.北京:科学出版社2004:153) [5] Yu Sh WFeng X Q.Damage Mechanics.Beijing:Tsinghua University Press1997:78 (余寿文冯西桥.损伤力学.北京:清华大学出版社1997. 78) [6] Yu T QQian J Ch.Damage Theory and Its Application.Beijing:Science Press1993:1 (于天庆钱济成.损伤理论及其应用.北京:科学出版社 1993:1) [7] Zhou W YShan G RYang R Q.Elasto-brittle damage constitutive model of rock and its application in engineering.Chin J Geotech Eng199820(5):54 (周维垣剡公瑞杨若琼.岩体弹脆性损伤本构模型及工程应 用.岩土工程学报199820(5) :54) [8] Lemaitre J.Introduction to Continuum Damage Mechanics.Elsevier Science Ltd2002:235 [9] Li Q B.Staticdynamic damage constitutive theory of concrete. 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Beijing:Geology Press2000:128 (尤明庆.岩石试样的强度及其变形破坏过程.北京:地质出 版社2000:128) [17] Wang L. Elasto-Plastic Damage Model and Its Applications [Dissertation ].Beijing:University of Science and Technology Beijing2007 (王 利 .岩石弹塑性损伤模型及其应用研究[学位论文].北 京:北京科技大学2007.) 第5期 王 利等: 基于强度理论的岩石损伤弹塑性模型 ·467·