Damage model based on fracture cracking criteria

被引：0
|
作者：
Ma Q. [1 ]
Tian J. [1 ]
Zhou T. [1 ]
机构：
[1] College of Resources and Safety Engineer, China University of Mining and Technology, Beijing
来源：
Zhongnan Daxue Xuebao (Ziran Kexue Ban)/Journal of Central South University (Science and Technology) | 2019年 / 50卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Crack angle; Crack criterion; Crack length; Damage model; Probability statistics;
D O I：
10.11817/j.issn.1672-7207.2019.03.023
中图分类号：
学科分类号：
摘要：
In order to reflect the influence of rock internal fracture on rock constitutive relation, a damage model affected by fracture distribution and friction coefficient of fracture surface was established. Analogous to the spring beam model, a damage model related to the length of cracked fissure was defined. Based on the cracking criterion of the compression fracture, the length range of crack fracture in different stress states was solved, the mathematical expectation of crack length was calculated by probability statistics, and the damage variable was obtained in the damage model. The stress-strain curve of rock was calculated by this model. The results show that the model can reflect the influence of fracture surface friction coefficient and angle on rock strength. When the friction coefficient is 0, the corresponding angle of minimum strength of rock is 45º. With the increase of the friction coefficient, the crack angle corresponding to the minimum peak strength decreases gradually. When the angle is constant, the greater the friction coefficient is, the larger the peak strength is. The calculated results are in agreement with the experimental results. The model can also reflect the effect of crack length distribution on rock strength. When the long crack occupies a larger proportion of the crack, the strength of rock is smaller. When the long crack occupies a smaller proportion, the strength of rock is larger. The calculated results reflect he deformation characteristics of rock at plastic stage, which shows the reliability of the model. © 2019, Central South University Press. All right reserved.
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页码：687 / 693
页数：6
相关论文
共 19 条
  • [1] Lemaitre J., A continuous damage mechanics model for ductile fracture, Transactions of the Asme Journal of Engineering Materials & Technology, 107, 107, pp. 83-89, (1985)
  • [2] Zhao Y., Liu H., Lu S., Et al., Damage constitutive model of jointed rock mass based on coupling macroscopic and mesoscopic flaws, Journal of Central South University(Science and Technology), 46, 4, pp. 1489-1496, (2015)
  • [3] Yuan X., Liu H., Liu J., Et al., Constitutive model of rock mass with non-persistent joints based on coupling macroscopic and mesoscopic damages, Rock and Soil Mechanics, 36, 10, pp. 2804-2814, (2015)
  • [4] Liu H., Wang X., Zhang L., Et al., A dynamic damage constitutive model for rock mass with non-persistent joints under uniaxial compression, Chinese Journal of Geotechnical Engineering, 38, 3, pp. 426-436, (2016)
  • [5] Cao W., Fang Z., Tang X., A study of statistical constitutive model for softening and damage rocks, Chinese Journal of Rock Mechanics and Engineering, 17, 6, pp. 628-633, (1998)
  • [6] Cao W., Zhang S., Study on the statistical analysis of rock damage based on Mohr-Coulomb criterion, Journal of Hunan University(Natural Sciences), 32, 1, pp. 43-47, (2005)
  • [7] Cao W., Zhao M., Tang X., Study on simulation of statistical damage in the full process of rock failure, Chinese Journal of Geotechnical Engineering, 25, 2, pp. 184-187, (2003)
  • [8] Zhu Q.Z., Shao J.F., A refined micromechanical damage-friction model with strength prediction for rock-like materials under compression, International Journal of Solids & Structures, 60-61, pp. 75-83, (2015)
  • [9] Jin W., Arson C., Discrete equivalent wing crack based damage model for brittle solids, International Journal of Solids & Structures, s110/111, pp. 279-293, (2017)
  • [10] Krajcinovic D., Fanella D., A micromechanical damage model for concrete, Engineering Fracture Mechanics, 25, 5, pp. 585-596, (1986)
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