Time-dependent damage constitutive model for the marble in the Jinping II hydropower station in China

Bulletin of Engineering Geology and the Environment

Volumn 73, Issue 2, 2014, Pages 499-515

  Chen, Bing Rui ^a   Zhao, Xiao Jun ^b   Feng, Xia Ting ^a   Zhao, Hong Bo ^b   Wang, Shan Yong ^c  

^a INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

^b HENAN POLYTECHNIC UNIVERSITY   (China)

^c UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

Constitutive model; Creep testing; Fractional calculus theory; Time dependent damage characteristics; Yield strength

Indexed keywords

CALCULATIONS; CONSTITUTIVE MODELS; CREEP; CREEP TESTING; MARBLE; YIELD STRESS;

CREEP CHARACTERISTICS; FAILURE PREVENTION; FRACTIONAL CALCULUS; JINPING II HYDROPOWER STATION; LONG-TERM STRENGTH; NEGATIVE EXPONENTIAL; PARAMETER SENSITIVITIES; TIME-DEPENDENT DAMAGES;

LOADING;

CONSTITUTIVE EQUATION; CREEP; DAMAGE MECHANICS; EXPERIMENTAL STUDY; FAILURE MECHANISM; HYDROELECTRIC POWER PLANT; MARBLE; PARAMETERIZATION; ROCK MECHANICS; TIME DEPENDENT BEHAVIOR;

CHINA;

EID: 84899632571     PISSN: 14359529     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10064-013-0542-z     Document Type: Article

References (23)

1. Bagley RL, Torvik PJ (1983) A theoretical basis for the application of fractional calculus to viscoelasticity. J Theol 27(3): 201-210.
2. Beda T, Chevalier Y (2004) New methods for identifying rheological parameter for fractional derivative modeling of viscoelastic behavior. Mech Time-Depend Mater 8: 105-118.
3. Chen J (2013) Time-dependent deformation and fracture mechanisms of hard rock and engineering behavioural analysis. Doctor dissertation. Institute of Rock and Soil Mechanics, Chinese Academy of Science, Wuhan.
4. Chen BR, Feng XT (2008) Universal viscoelastic combination model and its engineering applications. Chin J Rock Mech Eng 27(5): 1028-1035.
5. Chen BR, Feng XT et al (2005) Rheological model and parameters identification of rock based on pattern search and least-square techniques. Chin J Rock Mech Eng 24(2): 207-211.
6. Deng R (2001) A new rheological model for rocks. Chin J Rock Mech Eng 20(6): 780-784.
7. Feng XT, Zhou H (2006) Research report on stability of surrounding rock mass and structure design of headrace tunnels of Jinping II hydropower station at Yalong River during invite public bidding and design phase. Institute of Rock and Soil Mechanics, the Chinese Academy of Science, Wuhan.
8. Jin J, Cristescu ND (1998) An elastic/viscoplastic model for transient creep of rock salt. Int J Plasticity 14: 85-107.
9. Kiryakova V, Al-Sauabi B (1999) Explicit solutions to Hyper-Bessel integral equations of second kind. Comput Math Appl 37: 75-86.
10. Koeller RC (1984) Application of fractional calculus to the theory of viscoelasticity. ASME J Appl Mech 51: 299-307.
11. Molladavoodi H, Mortazavi A (2011) A damage-based numerical analysis of brittle rocks failure mechanism. Finite Elem Anal Des 47: 991-1003.
12. Nonnenmacher TF, Metzler R (1995) On the Riemann-Liouville fractional calculus and some recent applications. Fractals 3(3): 557-566.
13. Professional Standards Compilation Group of People's Republic of China (2007) Code for rock tests of hydroelectric and water conservancy engineering. China Electric Power Press, Beijing.
14. Song DY, Jiang TQ (1998) Study on the constitutive equation with fractional derivative for viscoelastic fluids: modified Jeffreys model and its application. Rhelo Acta 37: 512-517.
15. Wang GJ (2004) A new constitutive creep-damage model for salt rock and its characteristics. Int J Rock Mech Min Sci 41(Supp. 1): 61-73.
16. Welch SWJ, Rorrer RAL, Duren RG (1999) Application of time-based fractional calculus methods to viscoelastic creep and stress relaxation of materials. Mech Time-Depend Mater 3: 279-303.
17. Xie N (2011) A micromechanics-based elastoplastic damage model for quasi-brittle rocks. Comput Geotech 38: 970-977.
18. Xu HF (1997) Time dependent behaviours of strength and elasticity modulus of weak rock. Chin J Rock Mech Eng 16(3): 246-251.
19. Xu WY (2005) Investigation on triaxial rheological mechanical properties of greenschist specimen (II): model analysis. Rock Soil Mech 25(5): 693-698.
20. You M (2007) Discussion on "Nonlinear viscoelasto-plastic rheological model (Hohai model) of rock and its engineering application". Chin J Rock Mech Eng 26(3): 637-640.
21. Zhao Y (2008) Elastovisco-plastic rheological experiment and nonlinear rheological model of rocks. Chin J Rock Mech Eng 27(3): 477-486.
22. Zhou W (1990) Advanced rock mechanics. China Water Power Press, Beijing.
23. Zhou H (2011) A creep constitutive model for salt rock based on fractional derivatives. Int J Rock Mech Min Sci 48: 116-121.