Abstract
Triaxial cyclic loading tests have been performed to assess the influence of plastic deformation on inelastic deformational properties of anisotropic argillite with bedding planes which is regarded as a kind of transversely isotropic media. Considering argillite’s anisotropy and inelastic deformational properties, theoretical formulae for calculating oriented elastic parameters were deduced by the unloading curves, which can be better fitted for the description of its elasticity than loading curves. Test results indicate that with the growth of accumulated plastic, strain, the apparent elastic modulus of argillite decreases in a form of exponential decay function, whereas the apparent Poisson ratio increase in a form of power equation. A ratio of unloading recoverable strain to the total strain increment occurred during a loading cycle is defined to illustrate the characteristic relations between anisotropic coupled elasto-plastic deformation and plastic strain. It is significant to observe that high stress level and plastic history have an inhibiting effect on argillite anisotropy.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
AMADEI B. Importance of anisotropy when estimating and measuring in situ stresses in rock [J]. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 1996, 33(3): 293–325.
HAKALA M, KUULA H, HUDSON J A. Estimating the transversely isotropic elastic intact rock properties for in situ stress measurement data reduction: A case study of the Olkiluoto Mica Gneiss, Finland [J]. International Journal of Rock Mechanics and Mining Sciences, 2007, 44(1): 14–46.
NASSERI M H B, RAO K S, RAMAMURTHY T. Anisotropic strength and deformational behavior of Himalayan Schists [J]. International Journal of Rock Mechanics and Mining Sciences, 2003, 40(1): 3–23.
NUNES A L L S. A new method for determination of transverse isotropic orientation and the associated elastic parameters for intact rock [J]. International Journal of Rock Mechanics and Mining Sciences, 2002, 39(2): 257–273.
OLSSON W A. Development of anisotropy in the incremental shear moduli for rock undergoing inelastic deformation [J]. Mechanics of Materials, 1995, 21(3): 231–242.
BIGONI D, HUECKEL T. Uniqueness and localization-I. Associative and non-associative elastoplasticity [J]. International Journal of Solids and Structures, 1991, 28(2): 197–213.
BIGONI D, HUECKEL T. Uniqueness and localization-II. Coupled elastoplasticity [J]. International Journal of Solids and Structures, 1991, 28(2): 215–224.
DAFALIAS Y F. Il’iushin’s postulate and resulting thermodynamic conditions on elasto-plastic coupling [J]. International Journal of Solids and Structures, 1977, 13(3): 239–251.
DAFALIAS Y F. Elasto-plastic coupling within a thermodynamic strain space formulation of plasticity [J]. International Journal of Non-Linear Mechanics, 1977, 12(5): 327–337.
MAIER G, HUECKEL T. Nonassociated and coupled flow rules of elastoplasticity for rock-like materials [J]. International Journal of Rock Mechanics and Mining Sciences &; Geomechanics Abstracts, 1979, 16(2): 77–92.
GONZAGA G G, LEITE M H, CORTHÉSY R. Determination of anisotropic deformability parameters from a single standard rock specimen [J]. International Journal of Rock Mechanics and Mining Sciences, 2008, 45(8): 1420–1438.
TALESNICK M L, BLOCH-FRIEDMAN E A. Compatibility of different methodologies for the determination of elastic parameters of intact anisotropic rocks [J]. International Journal of Rock Mechanics and Mining Sciences, 1999, 36(7): 919–940.
TALESNICK M L, RINGEL M. Completing the hollow cylinder methodology for testing of transversely isotropic rocks: torsion testing [J]. International Journal of Rock Mechanics and Mining Sciences, 1999, 36(5): 627–639.
DUVEAU G, SHAO J F. A modified single plane of weakness theory for the failure of highly stratified rocks [J]. International Journal of Rock Mechanics and Mining Sciences, 1998, 35(6): 807–813.
GAO Z, ZHAO J, YAO Y. A generalized anisotropic failure criterion for geomaterials [J]. International Journal of Solids and Structures, 2010, 47(22/23): 3166–3185.
LADE P V. Modeling failure in cross-anisotropic frictional materials [J]. International Journal of Solids and Structures, 2007, 44(16): 5146–5162.
LU Guang-yin, ZHU Zi-qiang, LIU Qun-yi, He Xian-qi. Failure mode and strength anisotropic characteristic of stratified rock mass under uniaxial compressive situation [J]. Journal of Central South University of Technology, 2009, 16(4): 663–668.
PIETRUSZCZAK S, MROZ Z. Formulation of anisotropic failure criteria incorporating a microstructure tensor [J]. Computers and Geotechnics, 2000, 26(2): 105–112.
TIEN Y M, KUO M C. A failure criterion for transversely isotropic rocks [J]. International Journal of Rock Mechanics and Mining Sciences, 2001, 38(3): 399–412.
PIETRUSZCZAK S, LYDZBA D, SHAO J F. Modelling of inherent anisotropy in sedimentary rocks [J]. International Journal of Solids and Structures, 2002, 39(3): 637–648.
CHEN L, SHAO J F, HUANG H W. Coupled elastoplastic damage modeling of anisotropic rocks [J]. Computers and Geotechnics, 2010, 37(1/2): 187–194.
CHEN L, SHAO J F, ZHU Q Z, DUVEAU G. Induced anisotropic damage and plasticity in initially anisotropic sedimentary rocks [J]. International Journal of Rock Mechanics and Mining Sciences, 2012, 51(4): 13–23.
Zhu Q Z, ZHOU C B, SHAO J F, KONDO. A discrete thermodynamic approach for anisotropic plastic-damage modeling of cohesive-frictional geomaterials [J]. Int J Numer Anal Methods Geomech, 2010, 34(12): 1250–1270.
ZHU W, WALSH J B. A new model for analyzing the effect of fractures on triaxial deformation [J]. International Journal of Rock Mechanics and Mining Sciences, 2006, 43(8): 1241–1255.
VOYIADJIS G Z. Degradation of elastic modulus in elastoplastic coupling with finite strains [J]. International Journal of Plasticity, 1988, 4(4): 335–353.
YOSHINAKA R, TRAN T V, OSADA M. Pore pressure changes and strength mobilization of soft rocks in consolidated-undrained cyclic loading triaxial tests [J]. International Journal of Rock Mechanics and Mining Sciences, 1997, 34(5): 715–726.
YOSHINAKA R, TRAN T V, OSADA M. Non-linear, stress- and strain-dependent behavior of soft rocks under cyclic triaxial conditions [J]. International Journal of Rock Mechanics and Mining Sciences, 1998, 35(7): 941–955.
FUENKAJORN K, PHUEAKPHUM D. Effects of cyclic loading on mechanical properties of Maha Sarakham salt [J]. Engineering Geology, 2010, 112(1/2/3/4): 43–52.
HEAP M J, FAULKNER D R. Quantifying the evolution of static elastic properties as crystalline rock approaches failure [J]. International Journal of Rock Mechanics and Mining Sciences, 2008, 45(4): 564–573.
ZHANG Kai, ZHOU Hui, FENG Xia-ting, SHAO Jian-fu. Experimental research on elastoplastic coupling character of marble [J]. Rock and Soil Mechanics, 2010, 31(8): 2425–2434. (in Chinese).
NIANDOU H, SHAO J F, HENRY J P. Laboratory investigation of the mechanical behaviour of Tournemire shale [J]. International Journal of Rock Mechanics and Mining Sciences, 1997, 34(1): 3–16.
ZHANG Jiu-chang, PENG Li, XU Xiang-hua, ZHU Neng-wen. Experimental study of elastoplastic coupling deformation for transversely isotropic rocks [J]. Chinese Journal of Rock Mechanics and Engineering, 2011, 30(2): 267–274. (in Chinese).
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item: Program(2011CB710601) supported by National Basic Research Program of China; Project(50925933) supported by National Natural Science Foundation of China; Project(2008BAB29B03) supported by National Key Technology Research and Development Program of China; Project(2010-122-011) supported by Guizhou Provincial Department of Transportation, China
Rights and permissions
About this article
Cite this article
Zhang, Jc., Zhou, Sh., Fang, Lg. et al. Effects of axial cyclic loading at constant confining pressures on deformational characteristics of anisotropic argillite. J. Cent. South Univ. 20, 799–811 (2013). https://doi.org/10.1007/s11771-013-1551-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11771-013-1551-6