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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. [12]Dragon A.Halm D.Desoyer T.Anisotropic damage in quasi- brittle solids:modeling.computational issues and applications 1992,11(3):284 Comput Methods Appl Mech Eng.2000.183 (3/4):331 (赵永红,黄杰藩,王仁,岩石微破裂发育的扫描电镜即时观测 [13]Yu M H.Yoshimine M.Qiang H F,et al.Advances and 研究.岩石力学与工程学报,1992,11(3):284) [3]Li L.Xu Y,Li Q G.et al.Microcosmic research on gradual prospects for strength theory.Eng Mech.2004:21(6):2 (俞宏茂,Yoshimine M,强洪夫,等.强度理论的发展和展望. fracturing of granite.Chin J Rock Mech Eng.2002.21(7):940 工程力学,2004,21(6).2) (李炼,徐钺,李启光,等。花岗岩渐进破坏的微观研究·岩石 [14]Yu M H.Twin Shear Theory and Its Applications.Beijing: 力学与工程学报,2002,21(7):940) Science Press,1988 [4]Ge X R.Ren JX.Fu Y B.et al.Macro-mesoscopic Experimen- (俞宏茂.双剪理论及其应用.北京:科学出版社,1998) tal Research on Rock Damage Mechanics.Beijing:Science Press, [15]Liu B.Han Y H.Guide to Principle,Examples and Applica- 2004.153 tions of FLAC.Beijing:China Communications Press,2005:18 (葛修润,任建喜,蒲毅彬,等.岩土损伤力学宏细观实验研 (刘波,韩彦辉.FLAC原理、实例与应用指南.北京:人民交 究-北京:科学出版社,2004:153) 通出版社,2005:18) [5]Yu Sh W.Feng X Q.Damage Mechanics.Beijing:Tsinghua U- niversity Press.1997:78 [16]You M Q.Strength and Deformation Course of Rock Samples. Beijing:Geology Press,2000:128 (余寿文,冯西桥.损伤力学。北京:清华大学出版社,1997 (尤明庆,岩石试样的强度及其变形破坏过程,北京:地质出 78) 版社,2000:128) [6]YuT Q,Qian JCh.Damage Theory and Its Application.Bei- [17]Wang L.Elasto-Plastic Damage Model and Its Applications jing:Science Press.1993:1 [Dissertation ]Beijing:University of Science and Technology (于天庆,钱济成,损伤理论及其应用·北京:科学出版社, 1993:1) Beijing.2007 (王利·岩石弹塑性损伤模型及其应用研究[学位论文],北 [7]Zhou W Y.Shan G R.Yang R Q.Elasto-brittle damage consti- 京:北京科技大学2007.)力-应变曲线特征‚因此用潜在滑移面上的塑性位 移作软硬化变量是可行的. (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 J‚Li H‚Xian X F.Experimental research on the whole course of micro-fracture developing in sandstone under uniaxial compression.Mech Eng‚1986‚8(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‚1986‚8(4):16) [2] Zhao Y H‚Huang J F‚Wang R.Study of instantaneous observa￾tion of microcracks developing in SEM.Chin J Rock Mech Eng‚ 1992‚11(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‚1992‚11(3):284) [3] Li L‚Xu Y‚Li Q G‚et al.Microcosmic research on gradual fracturing of granite.Chin J Rock Mech Eng‚2002‚21(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‚2002‚21(7):940) [4] Ge X R‚Ren J X‚Fu Y B‚et al.Macro-mesoscopic Experimen￾tal 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 W‚Feng X Q.Damage Mechanics.Beijing:Tsinghua U￾niversity Press‚1997:78 (余寿文‚冯西桥.损伤力学.北京:清华大学出版社‚1997. 78) [6] Yu T Q‚Qian J Ch.Damage Theory and Its Application.Bei￾jing:Science Press‚1993:1 (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 Y‚Shan G R‚Yang R Q.Elasto-brittle damage consti￾tutive model of rock and its application in engineering.Chin J Geotech Eng‚1998‚20(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‚1998‚20(5) :54) [8] Lemaitre J.Introduction to Continuum Damage Mechanics.El￾sevier Science Ltd‚2002:235 [9] Li Q B.Static‚dynamic damage constitutive theory of concrete. 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 (2) :27) [10] Chen Y.Rock Properties of the Earth’s Crust.Beijing:Seism Press‚1988 (陈隅.地壳岩石的力学性能.北京:地震出版社‚1988.) [11] Basista M‚Gross D.The sliding crack model of brittle deforma￾tion:an internal variable approach.Int J Solids Struct‚1998‚ 35(5/6):487 [12] Dragon A‚Halm D‚Desoyer T.Anisotropic damage in quas-i brittle solids:modeling‚computational issues and applications. Comput Methods Appl Mech Eng‚2000‚183(3/4):331 [13] Yu M H‚Yoshimine M‚Qiang H F‚et al.Advances and prospects for strength theory.Eng Mech‚2004:21(6):2 (俞宏茂‚Yoshimine M‚强洪夫‚等.强度理论的发展和展望. 工程力学‚2004‚21(6):2) [14] Yu M H.T win Shear Theory and Its Applications.Beijing: Science Press‚1988 (俞宏茂.双剪理论及其应用.北京:科学出版社‚1998) [15] Liu B‚Han Y H.Guide to Principle‚Examples and Applica￾tions of FL AC.Beijing:China Communications Press‚2005:18 (刘波‚韩彦辉.FLAC 原理、实例与应用指南.北京:人民交 通出版社‚2005:18) [16] You M Q.Strength and Deformation Course of Rock Samples. Beijing:Geology Press‚2000:128 (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 Beijing‚2007 (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·
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