温度与围压耦合作用下基于Weibull分布的岩石损伤本构模型

陈有亮; 肖鹏; 杜曦; 王苏然; 拉菲格&#183;阿扎姆

doi:10.13204/j.gyjzG21030203

温度与围压耦合作用下基于Weibull分布的岩石损伤本构模型

doi: 10.13204/j.gyjzG21030203

1. 上海理工大学环境与建筑学院, 上海 200093;
2. 亚琛工业大学工程地质与水文地质系, 亚琛 52064;
3. 新南威尔士大学土木与环境工程学院, 悉尼 2052;
4. 同济大学地下建筑与工程系, 上海 200093

基金项目:

国家自然科学基金项目(10872133)

上海市软科学研究领域重点项目(18692106100)。

详细信息

作者简介:
陈有亮,男,1966年出生,博士,教授,博士生导师。

通讯作者:
肖鹏,男,1997年出生,硕士研究生,13956284413@163.com。

计量
- 文章访问数: 153
- HTML全文浏览量: 16
- PDF下载量: 2
- 被引次数: 0
出版历程
- 收稿日期: 2021-03-02
- 网络出版日期: 2022-12-01

A Damage Constitutive Model for Rock Based on Weibull Distribution Under Coupling Action of Temperature and Confining Pressure

CHEN Youliang^1,2,
XIAO Peng^{1
, ,},
DU Xi^1,3,
WANG Suran⁴,
R. AZZAM²

1. School of Environment and Architecture, University of Shanghai for Science and Technology, Shanghai 200093, China;
2. Department of Engineering Geology and Hydrogeology, RWTH Aachen University, Aachen 52064, Germany;
3. School of Civil and Environmental Engineering, University of New South Wales, Sydney 2052, Australia;
4. Department of underground architecture and engineering, Tongji University, Shanghai 200093, China

摘要

摘要: 基于Lemaitre应变等价性假设理论,假定受热-力耦合损伤的岩石微元强度服从Weibull分布,考虑温度与围压耦合作用对岩石力学参数的影响,采用损伤力学理论,引入热损伤变量和力损伤变量,在微元破坏符合D-P准则条件下,建立岩石热-力耦合损伤演化方程及本构模型,采用理论推导的方法得出所需的模型参数。通过对比所构建的岩石热-力耦合损伤本构模型曲线和试验曲线的峰值点,结果表明两者吻合度较好,能够很好反映岩石在温度和围压耦合作用下的损伤演化和本构关系,验证了该模型及模型参数确定方法的合理性和可靠性。模型所需的模型参数均可通过实验室常规三轴试验获得。
- 岩石力学 /
- 损伤力学 /
- Weibull分布 /
- 热-力耦合作用 /
- 损伤演化 /
- 本构模型
Abstract: Based on Lemaitre’s hypothesis theory of strain equivalence, it was assumed that the micro-element strength of rock subjected to thermal-mechanical coupling damage followed the Weibull distribution. Considering the influence of temperature and confining pressure coupling on rock mechanical parameters, the thermal-mechanical damage variables were introduced by the damage mechanic theory. In the condition that the microelement failure conformed to the D-P criterion, the damage evolution equation for coupling of temperature and mechanics and the constitutive model of rock were established. The required model parameters were derived by the theory. Comparing between the peak points in the established constitutire model curves for thermal-mechanical coupling demage and experimental curves, the results showed that the two curves were in good agreement, the model could well reflect the damage evolution and the constitutive relation for rock in the coupling of temperature and confining pressure. The rationality and reliability of the model and the method to determine the model parameters were verified. The model parameters required by the model could be obtained by conventional triaxial tests in laboratory.
- rock mechanics /
- damage mechanics /
- Weibull distribution /
- thermal-mechanical coupling /
- damage evolution /
- constitutive model

HTML全文

参考文献(19)

[1]	KRAJCINOVIC D, SILVA M A G. Statistical aspects of the continuous damage theory[J]. International Journal of Solids and Structures,1982,18(7): 551-562.
[2]	LEMAITRE J. How to use damage mechanics[J].Nuclear Engineering and Design,1984,80(2):235-245.
[3]	秦跃平.岩石损伤力学模型及其本构方程的探讨[J].岩石力学与工程学报,2001,20(4):560-562.
[4]	徐卫亚,韦立德.岩石损伤统计本构模型的研究[J].岩石力学与工程学报,2002,21(6):787-791.
[5]	曹文贵,方祖烈,唐学军.岩石损伤软化统计本构模型之研究[J].岩石力学与工程学报,1998,17(6):628-633.
[6]	张明,王菲,杨强.基于三轴压缩试验的岩石统计损伤本构模型[J].岩土工程学报,2013,35(11):1965-1971.
[7]	曹文贵,张升,赵明华.基于新型损伤定义的岩石损伤统计本构模型探讨[J].岩土力学,2006,27(1):41-46.
[8]	胡其志,冯夏庭,周辉.考虑温度损伤的盐岩蠕变本构关系研究[J].岩土力学,2009,30(8):2245-2249.
[9]	KESHAVARZ M, PELLET F L, LORET B. Damage and changes in mechanical properties of a gabbro thermally loaded up to 1 000 ℃[J]. Pure Appl Geophys, 2010, 167: 1511-1523.
[10]	尹光志,李小双,赵洪宝.高温后粗砂岩常规三轴压缩条件下力学性试验研究[J].岩石力学与工程学报,2009,28(3):599-603.
[11]	赵阳升,万志军,张渊,等.岩石热破裂与渗透性相关规律的试验研究[J].岩石力学与工程学报,2010,29(10):1970-1976.
[12]	杜守继,刘华,职洪涛,等.高温后花岗岩力学性能的试验研究[J].岩石力学与工程学报,2004,23(14):2359-2364.
[13]	刘泉声,许锡昌.温度作用下脆性岩石的损伤分析[J].岩石力学与工程学报,2000,19(4):408-411.
[14]	翟松韬,吴刚,张渊,等.高温作用下花岗岩的声发射特征研究[J].岩石力学与工程学报,2013,32(1):126-134.
[15]	高红梅,兰永伟,周莉,等.温度作用下缺陷花岗岩热损伤:以甘肃北山缺陷花岗岩为例[J].吉林大学学报(地球科学版),2017,47(6):1795-1802.
[16]	GOLSHANI A, OKUI Y, ODA M,et al. A micromechanical model for brittle failure of rock and its relation to crack growth observed in triaxial compression tests of granite[J].Mechanics of Materials,2006,38(4):287-303.
[17]	徐银花,徐小丽.高温下岩石损伤本构模型研究[J].广西大学学报(自然科学版),2017,42(1):226-235.
[18]	张慧梅,雷利娜,杨更社.温度与荷载作用下岩石损伤模型[J].岩石力学与工程学报,2014,33(增刊2):3391-3397.
[19]	秦严.高温后花岗岩物理力学性质试验研究[D].北京:中国地质大学(北京),2017:33-52.