基于内变量热力学的岩石蠕变与应力松弛研究

摘要
图/表
参考文献
相关文章 (15)

全文: PDF (388 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要蠕变变形和应力松弛是岩石材料固有的时效特性，与岩石工程的长期稳定性密切相关。基于Rice不可逆内变量热力学理论对岩石蠕变和松弛本质上的一致性问题进行了研究。给定余能密度函数和内变量演化方程建立基本热力学方程，通过不同约束条件构建黏弹–黏塑性蠕变和应力松弛本构方程。黏弹性本构方程具有普遍性，能包含经典元件组合模型的黏弹性本构方程；黏塑性本构方程考虑材料变形过程中的硬化效应，更加符合实际情况。蠕变和松弛是岩石材料在不同约束下的外在表现，但两者具有相同的非平衡演化规律，本质上具有一致性。蠕变与应力松弛本构方程基于相同的基本热力学方程，可以相互转化，且方程参数相同，因此可以通过蠕变方程和蠕变试验结果对材料的松弛特性进行分析。最后通过模型相似材料单轴蠕变加卸载试验和应力松弛试验对这一思想进行了验证。

	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

关键词 ：蠕变, 松弛, 内变量热力学, 本构方程

Abstract：Creep deformation and stress relaxation are the intrinsic time-dependent properties of rock mass， and are close to long term stability of rock project. The consistency of creep and stress relaxation is discussed within framework of Rice irreversible thermodynamics with internal state variable. The fundamental thermodynamic equations are developed by giving specific complementary energy function and kinetic laws of internal state variables. The creep constitutive equation and stress relaxation equation are constructed based on those fundamental thermodynamic equations with different constraint conditions. Some classical viscoelastic equations from component models are covered in proposed viscoelastic constitutive equation and hardening effect is considered in the viscoplasctic creep equation. Creep and stress relaxation characterize the same non-equilibrium evolution of microstructure within material and are consistency in essence. The creep and stress relaxation equations can be transformed each other and the parameters in those two equations are all the same. So the relaxation properties can be analyzed through creep constitutive equation and creep test. This point is validated by uniaxial creep and stress relaxation tests of analogue material used in geo-mechanical model test.

Key words： creep stress relaxation internal state variable thermodynamics constitutive equation

引用本文:

张泷1，刘耀儒1，杨强1. 基于内变量热力学的岩石蠕变与应力松弛研究[J]. 岩石力学与工程学报, 2015, 34(04): 755-762.
ZHANG Long1，LIU Yaoru1，YANG Qiang1. RESEARCH ON CREEP AND RELAXATION OF ROCK MASS BASED ON THERMODYNAMICS WITH INTERNAL STATE VARIBALE. , 2015, 34(04): 755-762.

链接本文:

http://www.rockmech.org/CN/Y2015/V34/I04/755

[3]	穆霞英. 蠕变力学[M]. 西安：西安交通大学出版社，1990.(MU Xiaying. Creep Mechanics[M]. Xi?an：Xi?an Jiaotong university press，1990.(in Chinese)) " target="_blank">
[8]	AUBERTIN M，JULIEN M R，SERVANT S，et al. A rate-dependent model for the ductile behavior of salt rocks. Canadian Geotechnical Journal，1999，36(4)：660-674. " target="_blank">
[12]	李永盛. 单轴压缩条件下四种岩石的蠕变和松弛试验研究[J]. 岩石力学与工程学报，1995，14(1)：39-47.(LI Yongsheng. Creep and relaxation of 4 kinds of rock under uniaxial compression tests[J]. Chinese Journal of Rock Mechanics and Engineering，1995，14(1)：39-47.(in Chinese))
[19]	RICE J R. Inelastic constitutive relation for solids：an internal- variable theory and its application to metal plasticity[J]. Journal of the Mechanics and Physics of Solids，1971，19(6)：433-455. " target="_blank">
[21]	李如生. 平衡和非平衡统计力学. 北京：清华大学出版社，1995.(LI Rusheng. Equilibrium and nonequilibrium stastistical mechanics. Beijing：Tsinghua University Press，1995.(in Chinese)) " target="_blank">
[23]	BOUKHAROV G N，CHANDA M W，BOUKHAROV N G. The three processes of brittle crystalline rock creep[J]. International Journal of Rock Mechanics and Mining Science，1995，32(4)：325-335. " target="_blank">
[25]	郭进全，田龙，张勇，等. 基于蠕变数据的应力松弛行为预测模型与方法[J]. 机械强度，2011，33(5)：685-689.(Guo Jinquan，TIAN Long，ZHANG Yong，et al. Prediction models and methodology of stress relaxation property from creep data[J]. Journal of Mechanical Strength，2011，33(5)：685-689.(in Chinese)) " target="_blank">
[28]	LI Y S，XIA C C. Time-dependent tests on intact rocks in uniaxial compression[J]. International Journal of Rock Mechanics and Mining Sciences，2000，37(3)：467-475. " target="_blank">
[30]	张强勇，杨文东，陈芳，等. 硬脆性岩石的流变长期强度及细观破裂机制分析研究[J]. 岩土工程学报，2011，33(12)：1 910-1 918. (ZHANG Qiangyong，YANG Wendong，CHEN Fang，et al. Long-term strength and microscopic failure mechanism of hard brittle rocks[J]. Chinese Journal of Geotechnical Engineering，2011，33(12)：1 910-1 918.(in Chinese)) " target="_blank">
[20]	SCHAPERY R A. Nonlinear viscoelastic and viscoplastic constitutive equations with growing damage. International Journal of Fracture，1999，97：33-66. " target="_blank">
[24]	YANG Chunhe，DAEMEN J J K，YIN Jianhua. Experimental investigation of creep behavior of salt rock[J]. International Journal of Rock Mechanics and Mining Sciences，1999，36(2)：233-242. " target="_blank">
[29]	ZHAO Y L，CAO P，WANG W J，et al. Viscoelasto-plastic rheological experiment under circular increment step load and unload and nonlinear creep model of soft rocks[J]. Journal of Central South University Technology，2009，16：488-494. " target="_blank">
[1]	熊良宵，杨林德，张尧. 绿片岩多轴受压应力松弛试验研究[J]. 岩土工程学报，2010，32(8)：1 158-1 165.(XIONG Liangxiao，YANG Linde，ZHANG Yao. Stress relaxation tests on green schist specimens under multi-axial compression[J]. Chinese Journal of Geotechnical Engineering，2010，32(8)：1 158-1 165.(in Chinese)) " target="_blank">
[2]	黄晓倩，王俊彪，张贤杰. 铝合金时效蠕变与时效应力松弛关系研究[J]. 航空制造技术，2011，11：99-101.(HUANG Xiaoqian，WANG Junbiao，ZHANG Xiande. Research on relationship between agling creep stress relaxation of Al-Alloy[J]. Aeronautical Manufacturing Technology，2011，11：99-101.(in Chinese)) " target="_blank">
[5]	Zvonko Tomanovic. Rheological model of soft rock creep based on the tests on marl[J]. Mechanics of Time-Dependent Materials，2006，10(2)：135-154.
[6]	赵旭峰，孙均. 海底隧道风化花岗岩流变试验研究[J]. 岩土力学，2010，31(2)：403-406.(ZHAO Xufeng，SUN Jun. Testing study of rheological characteristics of weathered granite in undersea tunnel project[J]. Rock and Soil Mechanics，2010，31(2)：403-406.(in Chinese)) " target="_blank">
[10]	李铀，朱维申，彭意，等. 某地红砂岩多轴受力状态蠕变松弛特性试验研究[J]. 岩土力学，2006，27(8)：1 248-1 525.(LI You，ZHU Weishen，PENG Yi，et al. Multi-axial experimental study on creep and relaxation properties of red sandstone from somewhere[J]. Rock and Soil Mechanics，2006，27(8)：1 248-1 525.(in Chinese)) " target="_blank">
[14]	BETTEN J. Creep Mechanics. Berlin：Springer；2002. " target="_blank">
[17]	HENRY W，HASLACH J R. A non-equilibrium thermodynamic geometric structure for thermoviscoplasticity with maximum dissipation[J]. International Journal of Plasticity，2002，18(2)：127-153.
[26]	LIU Y R，GUAN F H，YANG Q. Geomechanical model test for stability analysis of high arch dam based on small blocks masonry technique[J]. International journal of rock mechanics and mining science，2013，61：231-243. " target="_blank">
[31]	高文华，刘正，刘栋，等. 分级加卸载下深部粉砂岩三轴蠕变特性试验研究[J]. 自然灾害学报，21(5)：127-134.(GAO Wenhua， LIU Zheng，LIU Dong，et al. Experimental study on triaxial creep bebavior of deep siltstone under stepwise loading and unloading[J]. Journal of Natural Disasters，21(5)：127-134.(in Chinese)) " target="_blank">
[4]	FUJII Y，KIYAMA T，ISHIJIMA Y，et al. Circumferential strain behavior during creep tests of brittle rocks[J]. International Journal of Rock Mechanics and Mining Science，1999，36(3)：323-337. " target="_blank">
[7]	徐卫亚，杨圣奇，褚卫江. 岩石非线性黏弹塑性流变模型(河海模型)及其应用[J]. 岩石力学与工程学报，2006，25(3)：433-447.(XU Weiya，YANG Shenqi，CHU Weijiang. Nonlinear viscoelasto-plastic rheological model(Hohai model) of rock and its engineering application[J]. Chin J Rock Mech Eng，2006，25(3)：433-447.(in Chinese))
[9]	VALANIS KC. A theory of viscoplasticity without a yield surface[J]. Archive of Mechanics，1971，23：517-551. " target="_blank">
[13]	周维垣. 高等岩石力学[M]. 北京：中国电力出版社，1990.(ZHOU Weiyuan，Advanced rock mechanics[M]. Beijing：China Electric Power Press，1990.(in Chinese)) " target="_blank">
[16]	ZHU Haoran，SUN Lu. A viscoelastic-viscoplastic damage constitutive model for asphalt mixtures based on thermodynamics[J]. International Journal of Plasticity，2013，40：81-100. " target="_blank">
[18]	YANG Q，LIU Y R，BAO J Q. Hamilton’s principle of entropy production for creep and relaxation processes[J]. ASME Journal of Engineering Materials and Technology，2010，132(1)：011018.1-011018.5 " target="_blank">
[22]	李娜，曹平，衣永亮，等. 分级加卸载下深部岩石流变试验及模型[J]. 中南大学学报：自然科学版，2011，42(11)：3 465-3 471. (LI Na，CAO Ping，YI Yongliang，et al. Creep properties experiment and model of deep rock with step loading and unloading[J]. Journal of Central South University：Science and Technology，2011，42(11)：3 465-3 471.(in Chinese)) " target="_blank">
[11]	唐礼忠，潘长良. 岩石在峰值荷载变形条件下的松弛试验研究[J]. 岩土力学，2004，24 (6)：940-942.(TANG Lizhong，PAN Changlang. Experiment study on properties of stress relaxation of rock under deformation at peak load[J]. Rock and Soil Mechanics，2003，24 (6)：940-942.(in Chinese)) " target="_blank">
[15]	湛利华，阳凌. 时效蠕变与时效应力松弛行为转换关系[J]. 塑性工程学报，2013，20(3)：126-131.(ZHAN Lihua，YANG Ling. Research on conversion relationship between aging creep and aging stress relaxation[J]. Journal of Plasticity engineering，2013，20(3)：126-131.(in Chinese)) " target="_blank">
[27]	张泷，刘耀儒，杨强，等. 杨房沟拱坝整体稳定性的三维非线性有限元分析与地质力学模型试验研究[J]. 岩土工程学报，2013 35(增1)：239-246.(ZHANG Long，LIU Yaoru，YANG Qiang，et al. Study of global stability of YANG Fang-gou arch dam by 3D nonlinear FEM analysis and geomechanical model test. Chinese Journal of Geotechnical Engineering，2013，35(Supp 1)：239-246.(in Chinese)) " target="_blank">