基于双剪统一强度准则砂岩真三轴卸荷损伤本构模型研究

doi:10.13722/j.cnki.jrme.2023.0660

摘要
图/表
参考文献
相关文章 (15)

全文: PDF (669 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要为完善真三轴加卸荷条件下砂岩损伤本构模型及参数确定方法，基于真三轴流固耦合试验系统，开展真三轴不同中间主应力、不同最大主应力加载速率条件下砂岩加卸荷试验，分析不同应力路径下砂岩的变形特征、各阶段渐进破坏特征和强度特性，选取真三轴加卸荷条件下适用的强度准则，建立可以有效描述砂岩受力破裂过程的损伤本构模型。结果表明：随着中间主应力的增加和加载速率的增加，砂岩试样起裂应力、损伤应力、峰值强度均增加。在两类应力路径下，双剪统一强度准则可以准确的描述砂岩强度特性。通过将双剪统一强度准则转化为合适的屈服函数形式，并考虑试样在不同主应力方向的损伤演化特性，建立真三轴损伤本构模型，对比分析模型参数对应变硬化特性的影响。模型分析结果与实际试验在不同主应力方向应力–应变曲线吻合，拟合结果较为稳定。该模型能准确反映砂岩微元强度受应力状态的影响，较好地反映砂岩不同主应力方向的受力破裂过程，可为实际岩石工程实践提供更好的理论指导作用。

	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
	杜佳慧1
	李文璞1
	2
	3
	冯国瑞2
	3
	4
	王泽1
	张欢1

关键词 ：岩石力学, 卸荷, 渐进破坏, 双剪统一强度准则, 损伤本构模型

Abstract：In order to improve the damage constitutive model and parameter determination method of sandstone under true triaxial loading and unloading conditions，based on the true triaxial fluid-solid coupling test system，the sandstone loading and unloading tests are carried out under different intermediate principal stresses and different maximum principal stress loading rates in true triaxial，to analyze the deformation characteristics of sandstone under different stress paths，the gradual damage characteristics of sandstone at different phases，and strength characteristics. Choosing the applicable strength criterion under the conditions of true triaxial loading and unloading，a damage constitutive model that can effectively describe the process of stress cracking of sandstone is established. The results show that the cracking stress，damage stress and peak strength of sandstone specimens increase with the increase of intermediate principal stress and loading rate. Under the two types of stress paths，the double-shear uniform strength criterion can accurately describe the strength characteristics of sandstone. By transforming the double-shear uniform strength criterion into a suitable yield function form and considering the damage evolution characteristics of the specimens in different principal stress directions，a true triaxial damage constitutive model was established to compare and analyze the effects of model parameters on the strain hardening characteristics. The model analysis results match with the actual test stress-strain curves in different principal stress directions，and the fitting results are more stable. The model can accurately reflect the influence of sandstone microelement strength by the stress state，and better reflect the force rupture process of sandstone in different principal stress directions，which can provide better theoretical guidance for the actual rock engineering practice.

Key words： rock mechanics unloading progressive damage double shear unified strength criterion damage principal structure model

引用本文:

杜佳慧1，李文璞1，2，3，冯国瑞2，3，4，王泽1，张欢1. 基于双剪统一强度准则砂岩真三轴卸荷损伤本构模型研究[J]. 岩石力学与工程学报, 2024, 43(5): 1230-1240.
DU Jiahui1，LI Wenpu1，2，3，FENG Guorui2，3，4，WANG Ze1，ZHANG Huan1. A true triaxial unloading damage intrinsic model for sandstone based on the double shear unified strength criterion. , 2024, 43(5): 1230-1240.

链接本文:

https://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2023.0660 或 https://rockmech.whrsm.ac.cn/CN/Y2024/V43/I5/1230

[1]	MOGI K. Effect of the intermediate principal stress on rock failure[J]. Journal of Geophysical Research Atmospheres，1967，72(20)：5 117-5 131.
[2]	MOGI K. Fracture and flow of rocks under high triaxial compression[J]. Journal of Geophysical Research Atmospheres，1971，76(5)：1 255-1 269.
[3]	HAIMSON B C. The hydrofracturing stress measurement technique-method an recent field results[J]. International Journal of Rock Mechanics and Mining Sciences，1978，15：167-178.
[4]	HAIMSON B C，CHANG C. A new true triaxial cell for testing mechanical properties of rock and its use to determine rock strength and deformability of westerly granite[J]. International Journal of Rock Mechanics and Mining Sciences，2000，37(1/2)：285-296.
[5]	尹光志，李铭辉，许江，等. 多功能真三轴流固耦合试验系统的研制与应用[J]. 岩石力学与工程学报，2015，34(12)：2 436-2 445. (YIN Guangzhi，LI Minghui，XU Jiang，et al. A new multi-functional true triaxial fluid-solid coupling experiment system and its applications[J]. Chinese Journal of Rock Mechanics and Engineering，2015，34(12)：2 436-2 445.(in Chinese))
[6]	尹光志，鲁俊，李星，等. 中间主应力对砂岩扩容及强度特性影响[J]. 煤炭学报，2017，42(4)：879-885.(YIN Guangzhi，LU Jun，LI Xing，et al. Influence of intermediate principal stress on dilation and strength characteristics of sandstone[J]. Journal of China Coal Society，2017，42(4)：879-885.(in Chinese))
[7]	李文璞，王泽，冯国瑞，等. 真三轴采动卸荷条件下砂岩扩容行为和非共轴性研究[J]. 煤炭学报，2023，48(增1)：71-81.(LI Wenpu，WANG Ze，FENG Guorui，et al. Research on sandstone dilation behavior and non-coaxiality under different stress Lode angle conditions[J]. Journal of China Coal Society，2023，48(Supp.1)：71-81.(in Chinese))
[8]	尹光志，马波，刘超，等. 真三轴应力条件下加卸荷速率对砂岩力学特性与能量特征的影响[J]. 煤炭学报，2019，44(2)：454-462.(YIN Guangzhi，MA Bo，LI Chao，et al. Effect of loading and unloading rates on mechanical properties and energy characteristics of sandstone under true triaxial stress[J]. Journal of China Coal Society，2019，44(2)：454-462.(in Chinese))
[9]	鲁俊，尹光志，高恒，等. 真三轴加载条件下含瓦斯煤体复合动力灾害及钻孔卸压试验研究[J]. 煤炭学报，2020，45(5)：1 812-1 823.(LU Jun，YIN Guangzhi，GAO Heng，et al. Experimental study on compound dynamic disaster and drilling pressure relief of gas-bearing coal under true triaxial loading[J]. Journal of China Coal Society，2020，45(5)：1 812-1 823.(in Chinese))
[10]	尹光志，鲁俊，李星，等. 真三轴应力条件下钻孔围岩稳定性及塑性区特性[J]. 煤炭学报，2018，43(10)：2 709-2 717.(YIN Guangzhi，LU Jun，LI Xing，et al. Stability and plastic zone characteristics of surrounding rock under true triaxial stress conditions[J]. Journal of China Coal Society，2018，43(10)：2 709-2 717.(in Chinese))
[11]	TAKAHASHI M，KOIDE H. Effect of the intermediate principal stress on strength and deformation behavior of sedimentary rocks at the depth shallower than 2000 m[C]// International Symposium on Rock at Great Depth. Pau：the ISRM International Symposium，1989：A27.
[12]	LU J，YIN G Z，ZHANG D M，et al. True triaxial strength and failure characteristics of cubic coal and sandstone under different loading paths[J]. International Journal of Rock Mechanics and Mining Sciences，2020，135：104439.
[13]	邓华锋，王哲，李建林，等. 卸荷速率和孔隙水压力对砂岩卸荷特性影响研究[J]. 岩土工程学报，2017，39(11)：1 976-1 983. (DENG Huafeng，WANG Zhe，LI Jianlin，et al. Effect of unloading rate and pore water pressure on mechanical properties of sandstone[J]. Chinese Journal of Geotechnical Engineering，2017，39(11)：1 976-1 983.(in Chinese))
[14]	MOGI K. Fracture and flow of rocks under high triaxial compression[J]. Journal of Geophysical Research，1971，76(5)：1 255-1 269.
[15]	SINGH B，GOEL R K，MEHROTRA V K，et al. Effect of intermediate principal stress on strength of anisotropic rock mass[J]. Tunnelling and Underground Space Technology，1998，13(1)：71-79.
[16]	YAO Y P，LU D C，ZHOU A N，et al. Generalized non-linear strength theory and transformed stress space[J]. Science in China Series E：Technological Sciences，2004，47：691-709.
[17]	YAO Y P，WANG N D. Transformed stress method for generalizing soil constitutive models[J]. Journal of Engineering Mechanics，2014，140(3)：614-629.
[18]	YAO Y P，HU J Q，ZHOU A N，et al. Unified strength criterion for soils，gravels，rocks，and concretes[J]. Acta Geotechnica，2015，10(6)：749-759.
[19]	尹光志，李星，鲁俊，等. 真三轴应力条件下层状复合岩石破坏准则[J]. 岩石力学与工程学报，2017，36(2)：261-269.(YIN Guangzhi，LI Xing，LU Jun，et al. A failure criterion for layered composite rock under true triaxial stress conditions[J]. Chinese Journal of Rock Mechanics and Engineering，2017，36(2)：261-269.(in Chinese))
[20]	俞茂宏. 岩土类材料的统一强度理论及其应用[J]. 岩土工程学报，1994，16(2)：1-10.(YU Maohong. Unified strength theory of geotechnical materials and its application[J]. Chinese Journal of Geotechnical Engineering，1994，16(2)：1-10.(in Chinese))
[21]	刘清泉. 多重应力路径下双重孔隙煤体损伤扩容及渗透性演化机制与应用[博士学位论文][D]. 徐州：中国矿业大学，2015.(LIU Qingquan. Damage and permeability evolution mechanism of dual-porosity coal under multiple stress paths and its application[Ph. D. Thesis][D]. Xuzhou：China University of Mining and Technology，2015.(in Chinese))
[22]	曹文贵，赵明华，刘成学. 基于统计损伤理论的莫尔-库仑岩石强度判据修正方法之研究[J]. 岩石力学与工程学报，2005，24(14)： 2 403-2 408.(CAO Wengui，ZHAO Minghua，LIU Chengxue. Study on rectified method of Mohr-Coulomb strength criterion for rock based on statistical damage theory[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(14)：2 403-2 408.(in Chinese))
[23]	游强，游猛. 岩石统计损伤本构模型及对比分析[J]. 兰州理工大学学报，2011，37(3)：119-123.(YOU Qiang，YOU Men. Statistical damage constitutive models of rock and their comparative analysis[J]. Journal of Lanzhou University Technology，2011，37(3)：119-123. (in Chinese))
[24]	王军保，刘新荣，李鹏. 岩石损伤软化统计本构模型[J]. 兰州大学学报：自然科学版，2011，47(3)：24-28.(WANG Junbao，LIU Xinrong，LI Peng. Statistical damage softening constitutive model for rock[J]. Journal of Lanzhou University Technology：Natural Science，2011，47(3)：24-28.(in Chinese))
[25]	李小峰，王军保. 基于改进Harris分布的岩石损伤统计本构模型研究[J]. 地下空间与工程学报，2012，8(4)：767-771.(LI Xiaofeng，WANG Junbao. Statistical damage constitutive model for rock based on improved harris distribution[J]. Chinese Journal of Underground Space and Engineering，2012，8(4)：767-771.(in Chinese))
[26]	WANG J C，WANG Z H，YANG S L. A coupled macro- and meso-mechanical model for heterogeneous coal[J]. International Journal of Rock Mechanics and Mining Sciences，2017，94：64-81.
[27]	WANG Z M，SUN Y N，WANG Y L，et al. A coupled model of air leakage in gas drainage and an active support sealing method for improving drainage performance[J]. Fuel，2019，237：1 217-1 227.
[28]	杨光华. 岩土类材料的多重势面弹塑性本构模型理论[J]. 岩土工程学报，1991，13(5)：99-107.(YANG Guanghua. The multi-potential constitutive theory of elasto-plasticity for the soil and rock materials[J]. Chinese Journal of Geotechnical Engineering，1991，13(5)：99-107. (in Chinese))
[29]	张俊文，宋治祥，范文兵，等. 真三轴条件下砂岩渐进破坏力学行为试验研究[J]. 煤炭学报，2019，44(9)：2 700-2 709.(ZHANG Junwen，SONG Zhixiang，FAN Wenbing，et al. Experimental investigation on progressive damage mechanical behavior of sandstone under true triaxial condition[J]. Journal of China Coal Society，2019，44(9)： 2 700-2 709.(in Chinese))
[30]	LABUZ J F，ARNO Z. Mohr-Coulomb failure criterion[J]. Rock Mechanics and Rock Engineering，2012，45：975-979.
[31]	HOEK E，BROWN E T. The Hoek-Brown failure criterion and GSI-2018 edition[J]. Journal of Rock Mechanics and Geotechnical Engineering，2019，11(3)：445-463.
[32]	RABOTNOV Y N. Creep rupture[J]. Applied Mechanics，1969：342-349.
[33]	LEMAITRE J. A continuous damage mechanics model for ductile materials[J]. Journal of Engineering Materials and Technology，1985，107(1)：83-89.
[34]	杨林德，熊良宵. 基于双剪统一强度准则的岩石损伤本构模型[J]. 河北工程大学学报：自然科学版，2008，25(3)：23-25.(YANG Linde，XIONG Liangxiao. Study on the statistical model of rock damage based on twin shear unified failure criterion[J]. Journal of Hebei Engineering University：Natural Science，2008，25(3)：23-25.(in Chinese))