考虑空隙压密特征的岩石弹塑性损伤增量本构模型

doi:10.13722/j.cnki.jrme.2022.1289

摘要
图/表
参考文献
相关文章 (15)

全文: PDF (737 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要岩石的变形破坏全过程包括压密–弹性–塑性–损伤多个阶段，现有的基于经典弹塑性理论与损伤力学同时考虑岩石压密变形机制的本构模型研究较少。将岩石抽象为岩石骨架与岩石空隙2部分，依据空隙变形机制计算非线性压密变形，基于Drucker-Prager准则分析塑性变形特性，采用体积变形描述损伤演化规律，在经典弹塑性损伤理论框架下建立岩石压密–弹塑性损伤增量型本构模型及其积分算法。将岩石总变形视为压密、弹性与塑性3个部分，考虑空隙部分无法承受剪力且各方向变形无相互影响的特征，通过应力、应变张量谱分解在主应力方向上计算总应变。数值积分方法为基于Drucker-Prager准则的主应力方向回映算法，采用压密弹性预测方法计算预测应力，以分析迭代步中压密应变增量对总应变增量的影响。压密–弹塑性损伤本构模型与算法充分考虑空隙非线性变形机制与压密变形特性，共涉及压密、弹性、塑性、损伤4类10个参数，适用于长期服役过程中外部环境作用下空隙占比逐渐增加，骨架强度逐渐减小的工程岩体。应用模型研究干湿、冻融循环2种典型外部环境对岩石特性的影响，结果表明模型能够很好地模拟外部作用后工程岩体变形破坏的全过程，具有一定的理论意义与工程价值。

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章
	陈会官1
	赵程1
	2
	张睿1
	潘昊宇1

关键词 ：岩石力学, 压密变形, 增量本构模型, Drucker-Prager准则, 主应力回映算法, 干湿循环, 冻融循环

Abstract：The whole process of rock deformation and failure has several stages such as compaction，elasticity，plasticity and damage. There are few studies on constitutive models considering rock compaction deformation mechanism under the framework of classical elastoplastic damage theory. In this paper，the rock was abstracted as two parts，the rock skeleton and the rock void. The nonlinear compaction deformation was calculated according to the void deformation mechanism. The plastic deformation characteristics were analyzed using the Drucker-Prager criterion. The damage evolution law was described by the volume deformation. Under the framework of classical elastoplastic damage theory，a compaction-elastoplastic damage incremental constitutive model and its integral algorithm of rock were established. The total deformation of the rock was divided into three parts as compaction，elastic and plastic deformation. The void part cannot bear the shear force and the deformation in each direction has no mutual influence. Therefore，the total strain was calculated in the principal stress direction through the spectral representation of the stress and strain tensors. The numerical integration method was the return mapping algorithm in principal stress space based on Drucker-Prager criterion. The predicted stress was calculated by the compression elastic prediction method. The influence of the compaction strain increment on the total strain increment in one iterative step was analyzed. The compaction-elastoplastic damage constitutive model and algorithm fully consider the non-linear deformation mechanism of voids and compaction deformation characteristics. The proposed model contains ten parameters in four categories including compaction，elasticity，plasticity and damage. It is suitable for engineering rock mass whose void ratio increases and skeleton strength decreases under external action during long-term service. The model was used to study the effect of two typical external environments(dry-wet and freeze-thaw cycles) on rock properties. The results show that the model can well simulate the whole process of rock deformation and failure after external actions，which has certain theoretical significance and engineering value.

Key words： soil mechanics compression deformation incremental constitutive model Drucker-Prager criterion return mapping in principal axes dry-wet cycles freeze-thaw cycles

引用本文:

陈会官1，赵程1，2，张睿1，潘昊宇1. 考虑空隙压密特征的岩石弹塑性损伤增量本构模型[J]. 岩石力学与工程学报, 2023, 42(12): 3043-3055.
CHEN Huiguan1，ZHAO Cheng1，2，ZHANG Rui1，PAN Haoyu1. Elastoplastic damage incremental constitutive model of rock considering the characteristics of void compaction. , 2023, 42(12): 3043-3055.

链接本文:

http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2022.1289 或 http://rockmech.whrsm.ac.cn/CN/Y2023/V42/I12/3043

[27]	CHAVES E W V. Notes on continuum mechanics[M]. Berlin，Germany：Springer Science and Business Media，2013：265-266.
[7]	王成，雷彬彬，王春，等. 分段高温硬煤轴向静载作用下的声发射及破碎分形特征研究[J]. 岩石力学与工程学报，2022，41(7)：1 394-1 408.(WANG Cheng，LEI Binbin，WANG Chun，et al. Research on acoustic emission and fragmentation characteristics of segmented high temperature hard coal under axial static loads[J]. Chinese Journal of Rock Mechanics and Engineering，2022，41(7)：1 394-1 408.(in Chinese))
[9]	KRAJCINOVIC D，SILVA M. Statistical aspects of the continuous damage theory[J]. International Journal of Solids and Structures，1982，18(7)：551-562.
[12]	温韬，唐辉明，马俊伟，等. 考虑初始损伤和残余强度的岩石变形过程模拟[J]. 地球科学，2019，44(2)：652-663.(WEN Tao， TANG Huiming，MA Junwei，et al. Deformation simulation for rock in consideration of initial damage and residual strength[J]. Earth Science，2019，44(2)：652-663.(in Chinese))
[15]	CAO W，TAN X，ZHANG C，et al. Constitutive model to simulate full deformation and failure process for rocks considering initial compression and residual strength behaviors[J]. Canadian Geotechnical Journal，2019，56(5)：649-661.
[17]	郑颖人，沈珠江，龚晓南. 岩土塑性力学原理[M]. 北京：中国建筑工业出版社，2002：1-11.(ZHENG Yingren，SHEN Zhujiang，GONG Xiaonan. The principles of geotechnical plastic mechanics[M]. Beijing：China Architecture and Building Press，2002：1-11.(in Chinese))
[3]	王凯，蒋一峰，徐超. 不同含水率煤体单轴压缩力学特性及损伤统计模型研究[J]. 岩石力学与工程学报，2018，37(5)：1 070-1 079. (WANG Kai，JIANG Yifeng，XU Chao. Mechanical properties and statistical damage model of coal with different moisture contents under uniaxial compression[J]. Chinese Journal of Rock Mechanics and Engineering，2018，37(5)：1 070-1 079.(in Chinese))
[13]	李盛南，肖俊，李玉，等. 基于细观裂纹扩展演化的岩石损伤本构模型研究[J]. 岩石力学与工程学报，2023，42(3)：640-648.(LI Shengnan，XIAO Jun，LI Yu，et al. A new damage constitutive model of rock considering microscopic crack growth[J]. Chinese Journal of Rock Mechanics and Engineering，2023，42(3)：640-648.(in Chinese))
[19]	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)：1 103-1 108.(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)：1 103-1 108.(in Chinese))
[22]	王传乐，杜广印，李二兵，等. 北山深部花岗岩常规三轴压缩条件下的强度参数演化及能量耗散[J]. 岩石力学与工程学报，2021，40(11)：2 238-2 248.(WANG Chuanle，DU Guangyin，LI Erbing，et al. Evolution of strength parameters and energy dissipation of Beishan deep granite under conventional triaxial compression[J]. Chinese Journal of Rock Mechanics and Engineering，2021，40(11)：2 238-2 248.(in Chinese))
[33]	BORJA R I. Plasticity modeling and computation[M]. Berlin，Germany：Springer，2013：1 240-1 242.
[29]	ZHANG W H，CAI Y. Continuum damage mechanics and numerical applications[M]. Hangzhou：Zhejiang University Press，2010：159-161.
[1]	赵阳升. 岩体力学发展的一些回顾与若干未解之百年问题[J]. 岩石力学与工程学报，2021，40(7)：1 297-1 336.(ZHAO Yangsheng. Retrospection on the development of rock mass mechanics and the summary of some unsolved centennial problems[J]. Chinese Journal of Rock Mechanics and Engineering，2021，40(7)：1 297-1 336.(in Chinese))
[11]	刘红岩，张力民，苏天明，等. 节理岩体损伤本构模型及工程应用[M]. 北京：冶金工业出版社，2016：83-87.(LIU Hongyan，ZHANG Limin，SU Tianming，et al. Damage constitutive model of jointed rock mass and its application in engineering[M]. Beijing：Metallurgical Industry Press，2016：83-87.(in Chinese))
[21]	ZHU Q. Strength prediction of dry and saturated brittle rocks by unilateral damage-friction coupling analyses[J]. Computers and Geotechnics，2016，73：16-23.
[31]	王军祥，姜谙男，宋战平. 弹塑性von Mises本构模型的完全隐式数值积分算法研究[J]. 数值计算与计算机应用，2014，35(2)：103- 116.(WANG Junxiang，JIANG Annan，SONG Zhanping. Research of fully implicit numerical integration algorithm for the elastoplastic von Mises model[J]. Journal of Numerical Methods and Computer Applications，2014，35(2)：103-116.(in Chinese))
[8]	HAN T，LI Z. Mechanical characteristics and failure modes for mode-I sandstone and rock-like cracked sample exposed to freeze thawing cycle[J]. Bulletin of Engineering Geology and the Environment，2021，80(9)：6 937-6 953.
[18]	ZHAO L，ZHANG W，LAI Y，et al. A heuristic elastoplastic damage constitutive modeling method for geomaterials：from strength criterion to analytical full spectrum stress strain curves[J]. International Journal of Geomechanics，2021，21(2)：4020255.
[28]	LEMAITRE J. A course on damage mechanics[M]. Berlin，Germany：Springer Science and Business Media，1992：12-14.
[38]	JIANG W，LAI Y，YU F，et al. Mechanical properties and two damage models of frozen-thawed rocks under triaxial compression[J]. International Journal of Damage Mechanics，2023，32(3)：387-423.
[2]	张培森，赵成业，侯季群，等. 高温与不同水压下深部砂岩渗透特性试验研究[J]. 岩石力学与工程学报，2020，39(6)：1 117-1 128. (ZHANG Peisen，ZHAO Chengye，HOU Jiqun，et al. Experimental study on seepage characteristics of deep sandstone under high temperature and different hydraulic pressures[J]. Chinese Journal of Rock Mechanics and Engineering，2020，39(6)：1 117-1 128.(in Chinese))
[4]	GAO F，XIONG X，XU C，et al. Mechanical property deterioration characteristics and a new constitutive model for rocks subjected to freeze-thaw weathering process[J]. International Journal of Rock Mechanics and Mining Sciences，2021，140：104642.
[5]	HAN T，LI Z，CHEN Y. Sulfate attack induced dry-wet failure modes and a constitutive model for mortar specimens with a single intermittent fracture[J]. International Journal of Geomechanics，2021，21(2)：4020249.
[23]	董陇军，张义涵，孙道元，等. 花岗岩破裂的声发射阶段特征及裂纹不稳定扩展状态识别[J]. 岩石力学与工程学报，2022，41(1)：120-131.(DONG Longjun，ZHANG Yihan，SUN Daoyuan，et al. Stage characteristics of acoustic emission and identification of unstable crack state for granite fractures[J]. Chinese Journal of Rock Mechanics and Engineering，2022，41(1)：120-131.(in Chinese))
[25]	MARTIN C D，CHANDLER N A. The progressive fracture of Lac du Bonnet granite[J]. International Journal of Rock Mechanics and Mining Science and Geomechanics Abstracts，1994，31(6)：643-659.
[35]	杨同，徐川，王宝学，等. 岩土三轴试验中的黏聚力与内摩擦角[J]. 中国矿业，2007，(12)：104-107.(YANG Tong，XU Chuan，WANG Baoxue，et al. The cohesive strength and the friction angle in rock-soil triaxial rests[J]. China Mining Magazine，2007，(12)：104-107.(in Chinese))
[37]	刘泉声，黄诗冰，康永水，等. 裂隙岩体冻融损伤研究进展与思考[J]. 岩石力学与工程学报，2015，34(3)：452-471.(LIU Quansheng，HUANG Shibing，KANG Yongshui，et al. Advance and review on freezing-thawing damage of fractured rock[J]. Chinese Journal of Rock Mechanics and Engineering，2015，34(3)：452-471.(in Chinese))
[39]	周辉，杨凡杰，张传庆，等. 考虑围压效应的大理岩弹塑性耦合力学模型研究[J]. 岩石力学与工程学报，2012，31(12)：2 389-2 399. (ZHOU Hui，YANG Fanjie，ZHANG Chuanqing，et al. An elastoplastic coupling mechanical model for marble considering confining pressure effect[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(12)：2 389-2 399.(in Chinese))
[10]	唐春安. 岩石破裂过程中的灾变[M]. 北京：煤炭工业出版社，1993：10-28.(TANG Chun?an. Catastrophe in rock unstable failure[M]. Beijing：China Coal Industry Publishing House，1993：10-28.(in Chinese))
[20]	朱其志. 多尺度岩石损伤力学[M]. 北京：科学出版社，2019：139-170.(ZHU Qizhi. Multiscale rock damage mechanics[M]. Beijing：Science Press，2019：139-170.(in Chinese))
[30]	SALARI M R，SAEB S，WILLAM K J，et al. A coupled elastoplastic damage model for geomaterials[J]. Computer Methods in Applied Mechanics and Engineering，2004，193(27/29)：2 625-2 643.
[40]	尤明庆. 岩石试样的杨氏模量与围压的关系[J]. 岩石力学与工程学报，2003，22(1)：53-60.(YOU Mingqing. Effect of confining pressure on the Young's modulus of rock specimen[J]. Chinese Journal of Rock Mechanics and Engineering，2003，22(1)：53-60.(in Chinese))
[6]	黄震，张海，冯学茂，等. 干湿循环与围压作用下粉砂岩损伤及本构研究[J]. 华中科技大学学报：自然科学版，2022，50(3)：122-128.(HUANG Zhen，ZHANG Hai，FENG Xuemao，et al. Damage and constitutive study of siltstone under dry-wet cycle and confining pressure[J]. Journal of Huazhong University of Science and Technology：Natural Science，2022，50(3)：122-128.(in Chinese))
[16]	曹文贵，张超，贺敏，等. 考虑空隙压密阶段特征的岩石应变软化统计损伤模拟方法[J]. 岩土工程学报，2016，38(10)：1 754-1 761. (CAO Wengui，ZHANG Chao，HE Min，et al. Statistical damage simulation method of strain softening deformation process for rocks considering characteristics of void compaction stage[J]. Chinese Journal of Geotechnical Engineering，2016，38(10)：1 754-1 761.(in Chinese))
[26]	张超，雷勇，曹文贵. 考虑软硬物质双变形特征的脆性岩石损伤本构模型研究[J]. 应用力学学报，2020，37(3)：1 166-1 171.(ZHANG Chao，LEI Yong，CAO Wengui. Damage constitutive model of brittle rocks considering double deformation characteristics of soft and hard materials[J]. Chinese Journal of Applied Mechanics，2020，37(3)： 1 166-1 171.(in Chinese))
[36]	宋勇军，张磊涛，任建喜，等. 基于核磁共振技术的弱胶结砂岩干湿循环损伤特性研究[J]. 岩石力学与工程学报，2019，38(4)：825-831.(SONG Yongjun，ZHANG Leitao，REN Jianxi，et al. Study on damage characteristics of weak cementation sandstone under drying-wetting cycles based on nuclear magnetic resonance technique[J]. Chinese Journal of Rock Mechanics and Engineering，2019，38(4)：825-831.(in Chinese))
[14]	张超，曹文贵，徐赞，等. 岩石初始宏观变形模拟及微裂纹闭合应力确定方法[J]. 岩土力学，2018，39(4)：1 281-1 288.(ZHANG Chao，CAO Wengui，XU Zan，et al. Initial macro-deformation simulation and determination method of micro-crack closure stress for rock[J]. Rock and Soil Mechanics，2018，39(4)：1 281-1 288.(in Chinese))
[24]	张睿，赵程，幸金权，等. 基于平节理模型的花岗岩固有微裂纹对裂纹演化影响分析[J]. 岩石力学与工程学报，2021，40(9)： 1 857-1 867.(ZHANG Rui，ZHAO Cheng，XING Jinquan，et al. Influence of granite inherent microcracks on crack evolution based on the flat-joint contact model[J]. Chinese Journal of Rock Mechanics and Engineering，2021，40(9)：1 857-1 867.(in Chinese))
[34]	BORJA R I，SAMA K M，SANZ P F. On the numerical integration of three-invariant elastoplastic constitutive models[J]. Computer Methods in Applied Mechanics and Engineering，2003，192(9/10)：1 227- 1 258.
[32]	陈培帅，陈卫忠，贾善坡，等. Hoek-Brown准则的主应力回映算法及其二次开发[J]. 岩土力学，2011，32(7)：2 211-2 218.(CHEN Peishuai，CHEN Weizhong，JIA Shanpo，et al. Stress return mapping algorithm of Hoek-Brown criterion in principal stress space and its redevelopment[J]. Rock and Soil Mechanics，2011，32(7)：2 211- 2 218.(in Chinese))