Abstract
Principle on temperature response to the stress-strain variation is fundamental to the relationship between thermal radiation variation and stress-strain field. Current research indicates that temperature has a sensitive response to rock deformation under the condition of normal temperature background. However, the basic physical relationship between deformation and temperature variation is not clear and need to be investigated further. In this paper, principle on temperature response to stress-strain variation is studied in detail, based on thermodynamics, elastic strain theory, and experiments on both ideal material and rock. In the stage of elastic deformation, results indicate that: 1) temperature increment is positively correlated with volume strain variation. Temperature rises with hydrostatic pressure increase. In other words, temperature rises when the specimen is under the compressive state whereas temperature drops under the tensile state. 2) Pure shear deformation does not contribute to temperature variation. Namely, shape change of specimen does not produce temperature variation. However, there exist the relative tensile area and the compressive one in the specimen under the state of pure shear. Temperature drops within the relative tensile area while temperature rises within the compressive areas during the process of loading.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ma J, Ma S P, Liu P X, et al. Thermal field indicators for identifying active fault and its instability from laboratory experiments (in Chinese). Seismol Geol, 2008, 30(2): 363–382
Cui C Y, Deng M D, Geng N G. Study on the features of spectrum radiation of rocks under different loading. Chin Sci Bull, 1994, 38(6): 538–541
Cui C Y, Deng M D, Geng N G. Application of principle of remote sensing to earthquake prediction and the experimental results (in Chinese). Earthquak Res China, 1993, 9(2):163–169
Deng M D, Geng N G, Cui C Y. The study on the variation of thermal state of rocks caused by variation of stress state of rocks (in Chinese). Earthquak Res China, 1997, 13(2): 179–185
Freund A A, Takeuchi A, Lau B W S, et al. Stimulated infrared emission from rocks: Assessing a stress indicator. eEarth Discuss, 2006, (1): 97–121
Jin G C, Ma S P, Pan Y S. Analysis of localization in rock materials through DSCM. Proceedings of Third International Conference on Experimental Mechanics, 2002. 4537: 103–106
Dong Y F, Wang L G, Liu X F, et al. The experimental research of the infrared radiation in the process of rock deformation (in Chinese). Rock Soil Mech, 2001, 22(2): 134–137
Geng N G, Cui C Y, Deng M D. Remote sensing detection of rock fracturing experiment and the beginning of remote rock mechanics (in Chinese). Acta Seismol Sin, 1992, 14(Suppl): 645–652
Geng N G, Cui C Y, Deng M D, et al. Remote sensing rock mechanics and its application prospects (in Chinese). Adv Geophys, 1993, 8(4): 1–7
Geng N G, Yu P, Deng M D, et al. The simulated experimental studies on cause of thermal infrared precursor of earthquakes (in Chinese). Earthquake, 1998, 18(1): 83–88
Zhi Y Q, Cui C Y, Zhang J K, et al. Application of infrared thermal imaging system to the basic remote sensing experiment on rock mechanics (in Chinese). Remote Sens Environ China, 1996, 11(3): 161–167
Liu S J, Wu L X, Wu Y H, et al. Analysis of affecting factors and mechanics of infrared radiation coming from loaded rocks (in Chinese). Mine Survey, 2003, 3: 67–70
Wu L X, Wang J Z. Features of infrared thermal image and radiation temperature of coal rocks loaded. Sci China Ser D-Earth Sci, 1998, 42(2): 158–164
Wu L X, Liu S J, Wu Y H, et al. Remote sensing-rock mechanics (I) — Laws of thermal infrared radiation from fracturing of discontinuous jointed faults and its meanings for tectonic earthquake omens (in Chinese). Chin J Rock Mech Eng, 2004, 23(1): 24–30
Wu L X, Liu S J, Wu Y H, et al. Remote sensing-rock mechanics (II) — Laws of thermal infrared radiation from viscosity-sliding of bi-sheared faults and its meanings for tectonic earthquake omens (in Chinese). Chin J Rock Mech Eng, 2004, 23(2): 192–198
Wu L X, Liu S J, Wu Y H, et al. Remote-sensing-rock mechanics (IV) — Laws of thermal infrared radiation from compressively-sheared fracturing of rock and its meanings for earthquake omens, Chinese (in Chinese). J Rock Mech Eng, 2004, 23(4): 539–544
Wu L X, Liu S J, Wu Y H. Introduction to Remote-sensing-rock Mechanics (in Chinese). Beijing: Science Press, 2006. 118–184
Wu L X, Liu S J, Wu Y H, et al. Precursors for rock fracturing and failure—Part I: IRR image abnormalities. Int J Rock Mech Min Sci, 2006, 43: 473–482
Liu L Q, Chen G Q, Liu P X, et al. Infrared measurement system for rock deformation experiment (in Chinese). Seismol Geol, 2004, 26(3): 492–501
Liu F, Yang Y Y, Lu Y, et al. Experimental study on the hot deformation behavior of the LD7 Aluminum alloy (in Chinese). Hot Working Technol, 2003, (2): 4–6
Xu Z, Meng F S, Men X Y, et al. Determination of recrystallization diagram of hot deformed austenite by metallographic method (in Chinese). Trans Metal Heat Treatment, 1984, 5(1): 76–81
Chen J F, Yun M F, Wang X R. 3D FEM simulation of hot extrusion process of AerMet100 Steel (in Chinese). Trans Materials Heat Treatment, 2007, 28(Suppl): 367–370
Liu P X, Chen S Y, Liu L Q, et al. An experiment on the infrared radiation of surficial rocks during deformation (in Chinese). Seismol Geol, 2004, 26(3): 502–511
Liu P X, Ma J, Liu L Q, et al. An experimental study on variation of thermal fields during the deformation of a compressive en echelon fault set. Prog Nat Sci, 2007, 17(4): 298–304
Ma J, Liu L Q, Liu P X, et al. Thermal precursory pattern of fault unstable sliding: An experimental study of en echelon faults. Chin J Geophys, 2007, 50(4): 995–1004
Xie R S. Mechanics of Thermodynamics (in Chinese). Beijing: The People’s Education Press, 1980. 29–40
Chen S Y, Ma J, Liu P X, et al. A preliminary study on correlation between thermal infrared radiation of land surface and borehole strain (in Chinese). Prog Nat Sci, 2008, 18(2): 145–153
Yin X C. Solid Mechanic (in Chinese). Beijing: Seismological Press, 1985. 43–44
Author information
Authors and Affiliations
Corresponding author
Additional information
Supported by Basic Research Funds from Institute of Geology, China Earthquake Administration (Grant No. DF-IGCEA-0607-1-5), National Natural Science Foundation of China (Grant Nos. 40572125, 90202018) and Special Funds for Social Public of Ministry of Science and Technology (Grant No. 2004DIB3J129)
Rights and permissions
About this article
Cite this article
Chen, S., Liu, L., Liu, P. et al. Theoretical and experimental study on relationship between stress-strain and temperature variation. Sci. China Ser. D-Earth Sci. 52, 1825–1834 (2009). https://doi.org/10.1007/s11430-009-0183-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11430-009-0183-z