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Published in: Rock Mechanics and Rock Engineering 4/2015

01-07-2015 | Original Paper

Damage and Plastic Deformation Modeling of Beishan Granite Under Compressive Stress Conditions

Authors: L. Chen, C. P. Wang, J. F. Liu, J. Liu, J. Wang, Y. Jia, J. F. Shao

Published in: Rock Mechanics and Rock Engineering | Issue 4/2015

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Abstract

Based on experimental investigations, we propose a coupled elastoplastic damage model to simulate the mechanical behavior of granite under compressive stress conditions. The granite is taken from the Beishan area, a preferable region for China’s high-level radioactive waste repository. Using a 3D acoustic emission monitoring system in mechanical tests, we focus on the cracking process and its influence on the macroscopic mechanical behavior of the granite samples. It is verified that the crack propagation coupled with fractional sliding along the cracks is the principal mechanism controlling the failure process and nonlinear mechanical behavior of granite under compressive stress conditions. Based on this understanding, the coupled elastoplastic damage model is formulated in the framework of the thermodynamics theory. In the model, the coupling between damage and plastic deformation is simulated by introducing the independent damage variable in the plastic yield surface. As a preliminary validation of the model, a series of numerical simulations are performed for compressive tests conducted under different confining pressures. Comparisons between the numerical and simulated results show that the proposed model can reproduce the main features of the mechanical behavior of Beishan granite, particularly the damage evolution under compressive stress conditions.

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Literature
go back to reference Andersson J, Strom A, Svemar C, et al. (2000) What requirements does the KBS-3 repository make on the host rock? Geoscientific suitability indicators and criteria for siting and site evaluation. In: Swedish Nuclear Fuel and Waste Management Co (SKB). Stockholm, TR-00-12 Andersson J, Strom A, Svemar C, et al. (2000) What requirements does the KBS-3 repository make on the host rock? Geoscientific suitability indicators and criteria for siting and site evaluation. In: Swedish Nuclear Fuel and Waste Management Co (SKB). Stockholm, TR-00-12
go back to reference Barthelemy JF, Dormieux L, Kondo D (2003) Détermination du comportement macroscopic d’un milieu à fissures forttantes. C R Mécanique. 5(3):471–513 Barthelemy JF, Dormieux L, Kondo D (2003) Détermination du comportement macroscopic d’un milieu à fissures forttantes. C R Mécanique. 5(3):471–513
go back to reference Cai M, Kaiser PK, Tasaka Y, Maejima T, Morioka H, Minami M (2004) Generalized crack initiation and crack damage stress thresholds of brittle rock masses near underground excavations. Int J Rock Mech Min Sci 41:833–847CrossRef Cai M, Kaiser PK, Tasaka Y, Maejima T, Morioka H, Minami M (2004) Generalized crack initiation and crack damage stress thresholds of brittle rock masses near underground excavations. Int J Rock Mech Min Sci 41:833–847CrossRef
go back to reference Chang SH, Lee CI, Lee YK (2007) An experimental damage model and its application to the evaluation of the excavation damage zone. Rock Mech Rock Eng 40(3):245–285CrossRef Chang SH, Lee CI, Lee YK (2007) An experimental damage model and its application to the evaluation of the excavation damage zone. Rock Mech Rock Eng 40(3):245–285CrossRef
go back to reference Chen L, Shao JF, Huang HW (2010) Coupled elastoplastic damage modeling of anisotropic rocks. Comput Geotech 37:187–194CrossRef Chen L, Shao JF, Huang HW (2010) Coupled elastoplastic damage modeling of anisotropic rocks. Comput Geotech 37:187–194CrossRef
go back to reference Chen L, Liu JF, Wang CP, Wang L, Wang XY, Wang J (2012) Study of acoustic emission characteristics of Beishan deep granite under different stress condition. Chin J Rock Mech Eng 31(suppl 2):3618–3624 Chen L, Liu JF, Wang CP, Wang L, Wang XY, Wang J (2012) Study of acoustic emission characteristics of Beishan deep granite under different stress condition. Chin J Rock Mech Eng 31(suppl 2):3618–3624
go back to reference Chen L, Liu JF, Wang CP, Liu J, Wang J (2014) Characterization of damage evolution in granite under compressive stress condition and its effect on permeability. Int J Rock Mech Min Sci (in revision) Chen L, Liu JF, Wang CP, Liu J, Wang J (2014) Characterization of damage evolution in granite under compressive stress condition and its effect on permeability. Int J Rock Mech Min Sci (in revision)
go back to reference Deudé V, June W (1987) An anisotropic theory of elasticity for continuum damage mechanics. Int J Fract 33:3–16CrossRef Deudé V, June W (1987) An anisotropic theory of elasticity for continuum damage mechanics. Int J Fract 33:3–16CrossRef
go back to reference Fredrich JT, Wong TF (1986) Micromechanics of thermally induced cracking in three crustal rocks. J Geophys Res 91:12743–12764CrossRef Fredrich JT, Wong TF (1986) Micromechanics of thermally induced cracking in three crustal rocks. J Geophys Res 91:12743–12764CrossRef
go back to reference Halm D, Dragon A (1996) A model of anisotropic damage by meso-crack growth; unilateral effect. Int J Damage Mech 5:384–402CrossRef Halm D, Dragon A (1996) A model of anisotropic damage by meso-crack growth; unilateral effect. Int J Damage Mech 5:384–402CrossRef
go back to reference Halm D, Dragon A (1998) An anisotropic model of damage and frictional sliding for brittle materials. Eur J Mech A Solids 17(3):439–460CrossRef Halm D, Dragon A (1998) An anisotropic model of damage and frictional sliding for brittle materials. Eur J Mech A Solids 17(3):439–460CrossRef
go back to reference International Atomic Energy Agency (1981) Underground disposal of radioactive wastes: basic guidenace. International Atomic Energy Agency, Vienna Safety series no. 54 International Atomic Energy Agency (1981) Underground disposal of radioactive wastes: basic guidenace. International Atomic Energy Agency, Vienna Safety series no. 54
go back to reference Jia Y, Song XC, Duveau G, Su K, Shao JF (2007) Elastoplastic damage modelling of argillite in partially saturated condition and application. Phys Chem Earth 32:656–666CrossRef Jia Y, Song XC, Duveau G, Su K, Shao JF (2007) Elastoplastic damage modelling of argillite in partially saturated condition and application. Phys Chem Earth 32:656–666CrossRef
go back to reference Ju JW (1989) On energy based coupled elastoplastic damage theories: constitutive modeling and computational aspects. Int J Solids Struct 25(7):803–833CrossRef Ju JW (1989) On energy based coupled elastoplastic damage theories: constitutive modeling and computational aspects. Int J Solids Struct 25(7):803–833CrossRef
go back to reference Ju JW (1990) Isotropic and anisotropic damage variables in continuum damage mechanics. J Eng Mech Div ASCE 116(12):2764–2770CrossRef Ju JW (1990) Isotropic and anisotropic damage variables in continuum damage mechanics. J Eng Mech Div ASCE 116(12):2764–2770CrossRef
go back to reference Ju JW, Lee X (1990) Micromechanical damage models for brittle solids. I: tensile loadings. J Appl Mech 117(7):1495–1514 Ju JW, Lee X (1990) Micromechanical damage models for brittle solids. I: tensile loadings. J Appl Mech 117(7):1495–1514
go back to reference Kachanov M (1982) A microcrack model of rock elasticity. Part I: frictional sliding on microcracks; Part II: propagation of microcracks. Mech Mater 1:19–41CrossRef Kachanov M (1982) A microcrack model of rock elasticity. Part I: frictional sliding on microcracks; Part II: propagation of microcracks. Mech Mater 1:19–41CrossRef
go back to reference Kachanov M (1994) Elastic solids with many cracks and related problems. In: Hutchinson J, Wu T (eds) Advanced in applied mechanics, 30. Adacemic Press, San Diego, pp 256–426 Kachanov M (1994) Elastic solids with many cracks and related problems. In: Hutchinson J, Wu T (eds) Advanced in applied mechanics, 30. Adacemic Press, San Diego, pp 256–426
go back to reference Krajcinovic D (1996) Damage mechanics. North-Holland, Amsterdam Krajcinovic D (1996) Damage mechanics. North-Holland, Amsterdam
go back to reference Lee X, Ju JW (1990) Micromechanical damage models for brittle solids. II: compressive loadings. J Appl Mech 117(7):1515–1536 Lee X, Ju JW (1990) Micromechanical damage models for brittle solids. II: compressive loadings. J Appl Mech 117(7):1515–1536
go back to reference Lemaitre J, Dufailly J (1987) Damage measurements. Eng Fract Mech 28(5/6):643–661CrossRef Lemaitre J, Dufailly J (1987) Damage measurements. Eng Fract Mech 28(5/6):643–661CrossRef
go back to reference Lin QX, Liu YM, Tham LG, Tang CA, Lee PKK, Wang J (2009) Time-dependent strength degradation of granite. Int J Rock Mech Mining Sci 46:1103–1114CrossRef Lin QX, Liu YM, Tham LG, Tang CA, Lee PKK, Wang J (2009) Time-dependent strength degradation of granite. Int J Rock Mech Mining Sci 46:1103–1114CrossRef
go back to reference Liu JF, Chen L, Wang CP, Liu J, Wang J (2014) Characterizing the mechanical behavior of Beishan granite with different experimental methods. Int J Rock Mech Min Sci 69:50–58 Liu JF, Chen L, Wang CP, Liu J, Wang J (2014) Characterizing the mechanical behavior of Beishan granite with different experimental methods. Int J Rock Mech Min Sci 69:50–58
go back to reference Martin CD, Chandler NA (1994) The progressive failure of Lac du Bonnet granite. Int J Rock Mech Min Sci 31(4):643–659CrossRef Martin CD, Chandler NA (1994) The progressive failure of Lac du Bonnet granite. Int J Rock Mech Min Sci 31(4):643–659CrossRef
go back to reference Mazars J, Pijaudier-Cabot G (1989) Continuum damage theory-application to concrete. J Eng Mech 115:345–365CrossRef Mazars J, Pijaudier-Cabot G (1989) Continuum damage theory-application to concrete. J Eng Mech 115:345–365CrossRef
go back to reference Murakami S, Kamiya K (1996) Constitutive and damage evolution equation of elastic brittle materials based on irreversible thermodynamics. Int J Mech Sci 39(4):473–486CrossRef Murakami S, Kamiya K (1996) Constitutive and damage evolution equation of elastic brittle materials based on irreversible thermodynamics. Int J Mech Sci 39(4):473–486CrossRef
go back to reference National Standards Compilation Group of People’s Republic of China (2013) Standard for tests method of engineering rock masses (GB/T 50266-2013). China Plan Press, Beijing (in Chinese) National Standards Compilation Group of People’s Republic of China (2013) Standard for tests method of engineering rock masses (GB/T 50266-2013). China Plan Press, Beijing (in Chinese)
go back to reference Nemat-Nasser S, Hori M (1993) Micromechanics: overall properties of heterogeneous materials. North-Holland, Amsterdam Nemat-Nasser S, Hori M (1993) Micromechanics: overall properties of heterogeneous materials. North-Holland, Amsterdam
go back to reference Oda M, Takemura T, Aoki T (2002) Damage growth and permeability change in triaxial compression tests of Inada granite. Mech Mater 34:313–331CrossRef Oda M, Takemura T, Aoki T (2002) Damage growth and permeability change in triaxial compression tests of Inada granite. Mech Mater 34:313–331CrossRef
go back to reference Pensée V, Kondo D, Dormieux L (2002) Micromechanical analysis of anisotropic damage in brittle materials. J Eng Mech ASCE 128(8):889–897CrossRef Pensée V, Kondo D, Dormieux L (2002) Micromechanical analysis of anisotropic damage in brittle materials. J Eng Mech ASCE 128(8):889–897CrossRef
go back to reference Shao JF, Chau KT, Feng XT (2006a) Modeling of anisotropic damage and creep deformation in brittle rocks. Int. J. Rock Mech Min Sci 43:582–592CrossRef Shao JF, Chau KT, Feng XT (2006a) Modeling of anisotropic damage and creep deformation in brittle rocks. Int. J. Rock Mech Min Sci 43:582–592CrossRef
go back to reference Shao JF, Jia Y, Kondo D, Chiarelli AS (2006b) A coupled elastoplastic damage model for semi-brittle materials and extension to unsaturated conditions. Mech Mater 38(3):218–232CrossRef Shao JF, Jia Y, Kondo D, Chiarelli AS (2006b) A coupled elastoplastic damage model for semi-brittle materials and extension to unsaturated conditions. Mech Mater 38(3):218–232CrossRef
go back to reference Singh M (2000) Applicability of a constitutive model to jointed block mass. Rock Mech Rock Eng 33(2):141–147CrossRef Singh M (2000) Applicability of a constitutive model to jointed block mass. Rock Mech Rock Eng 33(2):141–147CrossRef
go back to reference Wang J (2010) High-level radioactive waste disposal in China: update 2010. J Rock Mech Geotech Eng 2(1):1–11 Wang J (2010) High-level radioactive waste disposal in China: update 2010. J Rock Mech Geotech Eng 2(1):1–11
go back to reference Wong TF (1982) Micromechanics of faulting in westerly granite. Int J Rock Mech Min Sci 19:49–62CrossRef Wong TF (1982) Micromechanics of faulting in westerly granite. Int J Rock Mech Min Sci 19:49–62CrossRef
go back to reference Yang Q, Li Z, Tham LG (2001) An explicit expression of the second-order fabric tensor dependent elastic compliance tensor. Mech Res Commun 28(3):255–260CrossRef Yang Q, Li Z, Tham LG (2001) An explicit expression of the second-order fabric tensor dependent elastic compliance tensor. Mech Res Commun 28(3):255–260CrossRef
go back to reference Zhao XG, Wang J, Cai M, Ma LK, Zong ZH et al (2013) In-situ stress measurements and regional stress field assessment of the Beishan area, China. Eng Geol 163:26–40CrossRef Zhao XG, Wang J, Cai M, Ma LK, Zong ZH et al (2013) In-situ stress measurements and regional stress field assessment of the Beishan area, China. Eng Geol 163:26–40CrossRef
go back to reference Zhu WC, Tang CA (2004) Micromechanical model for simulating the fracture process of rock. Rock Mech Rock Eng 37(1):25–56CrossRef Zhu WC, Tang CA (2004) Micromechanical model for simulating the fracture process of rock. Rock Mech Rock Eng 37(1):25–56CrossRef
Metadata
Title
Damage and Plastic Deformation Modeling of Beishan Granite Under Compressive Stress Conditions
Authors
L. Chen
C. P. Wang
J. F. Liu
J. Liu
J. Wang
Y. Jia
J. F. Shao
Publication date
01-07-2015
Publisher
Springer Vienna
Published in
Rock Mechanics and Rock Engineering / Issue 4/2015
Print ISSN: 0723-2632
Electronic ISSN: 1434-453X
DOI
https://doi.org/10.1007/s00603-014-0650-5

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