基于统一强度理论的岩石弹塑性损伤模型研究
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摘要
基于统一强度理论,建立了岩石弹塑性损伤本构模型,该模型不仅考虑了岩石在拉伸和压剪两种情况下其损伤不同,还反映了在动载作用下岩石的应变率效应.采用Fortran语言通过LS-DY-NA的用户自定义材料接口(Umat)对该本构模型进行编程,并把该程序生成求解器以达到对该模型进行应用的目的.采用该模型分别对岩石单轴压缩试验、巴西圆盘劈裂试验和单孔爆破试验进行了数值模拟,同时把数值模拟结果分别与试验数据、经典模型(HJC模型)的数值结果和理论计算结果相对比.结果表明:由该模型所得出的结果与试验数据、经典模型(HJC模型)的数值结果和理论计算结果均比较吻合;该模型能够很好地反映岩石在动载和静载2种情况下的力学行为.
Based on the unified strength theory,the rock elastoplastic damage constitutive model was built considering different damage in tension and compression and strain rate effect;The present model was programmed with the Fortran language through the user defined material interface(Umat)of LSDYNA,and the solver was generated to achieve the purpose of applying the model;The model was used to numerically simulate rock uniaxial compression test,brazilian disc splitting test and single hole blasting test respectively,and the numerical results were compared with the experimental data,the numerical results of classical model(HJC model)and the theoretical calculation results respectively.The results show that the results obtained from the model are in good agreement with the experimental data,the numerical results of the classical model(HJC model)and the theoretical results;The model can well reflect the mechanical behavior of rock under the static and dynamic load.
Based on the unified strength theory,the rock elastoplastic damage constitutive model was built considering different damage in tension and compression and strain rate effect;The present model was programmed with the Fortran language through the user defined material interface(Umat)of LSDYNA,and the solver was generated to achieve the purpose of applying the model;The model was used to numerically simulate rock uniaxial compression test,brazilian disc splitting test and single hole blasting test respectively,and the numerical results were compared with the experimental data,the numerical results of classical model(HJC model)and the theoretical calculation results respectively.The results show that the results obtained from the model are in good agreement with the experimental data,the numerical results of the classical model(HJC model)and the theoretical results;The model can well reflect the mechanical behavior of rock under the static and dynamic load.
引文
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[16]XU H,WEN H M.A computational constitutive model for concrete subjected to dynamic loadings[J].International Journal of Impact Engineering,2016,91(1):116-125.
[17]俞茂宏.强度理论新体系:理论、发展和应用:第2版[M].西安:西安交通大学出版社,2011:198-208.YU Maohong.New system of strength theory:Theory,development and application:Version 2[M].Xi'An:Xi'An Jiao Tong University Press,2011:198-208.
[18]袁小平,刘红岩,王志乔.基于Drucker-Prager准则的岩石弹塑性损伤本构模型研究[J].岩土力学,2012,33(4):1103-1108.YUAN Xiaoping,LIU Hongyan,Wang Zhiqiao.Study of elastoplastic damage constitutive model of rocks based on Drucker-Prager criterion[J].Rock and Soil Mechanics,2012,33(4):1103-1108.
[19]LI H Y,SHI G Y.A dynamic material model for rock materials under conditions of high confining pressures and high strain rates[J].International Journal of Impact Engineering,2016,89:38-48.
[20]XIE L X,LU W B,ZHANG Q B,et al.Damage evolution mechanisms of rock in deep tunnels induced by cut blasting[J].Tunnelling&Underground Space Technology,2016,58:257-270.
[2]于海洋,武建华.基于无损受力状态的混凝土弹塑性损伤本构模型[J].工程力学,2009,26(10):79-86.YU Haiyang,WU Jianhua.An elastoplastic damage constitutive model for concrete based on undamaged state[J].Engineering Mechanics,2009,26(10):79-86.
[3]杨强,陈新,周维垣.岩石材料弹塑性损伤模型及变形局部化分析[J].岩石力学与工程学报,2004,23(21):3577-3583.YANG Qiang,CHEN Xin,ZHOU Weiyuan.Elastoplastic damage model for geomaterials and strain localization analyses[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(21):3577-3583.
[4]SALARI M,SAEB S,WILLAM K,et al.A coupled elastoplastic damage model for geomaterials[J].Computer Methods in Applied Mechanics and Engineering,2004,193(27/29):2625-2643.
[5]CHIARELLI A,SHAO J,HOTEIT N.Modeling of elastoplastic damage behavior of a claystone[J].International Journal of Plasticity,2003,19(1):23-45.
[6]TAQIEDDIN Z,VOYIADJIS G.Elastic plastic and damage model for concrete materials:Part II:Implementation and application to concrete and reinforced concrete[J].International Journal of Structure Changes in Solids,2009,1(1):187-209.
[7]张金铸,林天健.三轴试验中岩石的应力状态和破坏性质[J].力学学报,1979,2:99-105.ZHANG Jinzhu,LIN Tianjian.Stress consditions and the variation of rupture characteristics of a rock as shown by triaxial tests[J].Acta Mechanica Sinica,1979,2:99-105.
[8]HUANG X J,ZHANG J X,YANG L,et al.Elastoplastic analysis of the surrounding rock mass in circular tunnel based on the generalized nonlinear unified strength theory[J].International Journal of Mining Science and Technology,2016,26(5):819-823.
[9]CHEN L,SHAO J F,HUANG H W.Coupled elastoplastic damage modeling of anisotropic rocks[J].Computers&Geotechnics,2010,37(1):187-194.
[10]ZHANG Q B,ZHAO J.A review of dynamic experimental techniques and mechanical behavior of rock materials[J].Rock Mechanics and Rock Engineering,2014,47(4):1411-1478.
[11]ZHAO J.Applicability of Mohr-Coulomb and HoekBrown strength criteria to the dynamic strength of brittle rock[J].International Journal of Rock Mechanics&Mining Sciences,2000,37(7):1115-1121.
[12]YU M H,YANG S Y,FAN S C,et al.Unified elasto-plastic associated and non-associated constitutive model and its engineering applications[J].Computers&Structures,1999,71(6):627-636.
[13]DIEDERICHS M S,KAISER P K,EBERHARDTE.Damage initiation and propagation in hard rock during tunnelling and the influence of near-face stress rotation[J].International Journal of Rock Mechanics&Mining Sciences,2004,41(5):785-812.
[14]HOLMQUIST T J,JOHNSON G R,COOK W H.Acomputational constitutive model for concrete subjected to large strains,high strain rates,and high pressures[C]//Proceedings of the 14th International Symposium on Ballistics.Quebec City:National Defense Research Establishment,Sweden,1993:591-600.
[15]WEERHEIJM J,JCAM V D.Tensile failure of concrete at high loading rates:New test data on strength and fracture energy from instrumented spalling tests[J].International Journal of Impact Engineering,2007,34(3):609-626.
[16]XU H,WEN H M.A computational constitutive model for concrete subjected to dynamic loadings[J].International Journal of Impact Engineering,2016,91(1):116-125.
[17]俞茂宏.强度理论新体系:理论、发展和应用:第2版[M].西安:西安交通大学出版社,2011:198-208.YU Maohong.New system of strength theory:Theory,development and application:Version 2[M].Xi'An:Xi'An Jiao Tong University Press,2011:198-208.
[18]袁小平,刘红岩,王志乔.基于Drucker-Prager准则的岩石弹塑性损伤本构模型研究[J].岩土力学,2012,33(4):1103-1108.YUAN Xiaoping,LIU Hongyan,Wang Zhiqiao.Study of elastoplastic damage constitutive model of rocks based on Drucker-Prager criterion[J].Rock and Soil Mechanics,2012,33(4):1103-1108.
[19]LI H Y,SHI G Y.A dynamic material model for rock materials under conditions of high confining pressures and high strain rates[J].International Journal of Impact Engineering,2016,89:38-48.
[20]XIE L X,LU W B,ZHANG Q B,et al.Damage evolution mechanisms of rock in deep tunnels induced by cut blasting[J].Tunnelling&Underground Space Technology,2016,58:257-270.