Abstract
A series of triaxial compression and cyclic loading tests were conducted to reveal the nonlinear deformation behavior of compact sandstone. The strength, deformation, damage, and failure mode were analyzed. The experimental results indicated that the strength and elastic modulus increased nonlinearly with the increase of confining pressure, while Poisson’s ratio changed inversely. As the confining pressure increased, the failure mode changed from tensile failure to shear failure. The peak strength obtained during the triaxial compression test was greater than that observed during the triaxial cyclic loading test. Based on the experimental results, an elastoplastic damage constitutive model considering the weights of elastic energy and plastic hardening energy was established to describe the mechanical behavior of compact sandstone, and the corresponding parameters of the model were determined. The validity of the model was corroborated by comparing the results of the numerical model with the experimental data.
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References
Chen L, Wang CP, Liu JF, Liu J, Wang J, Jia Y, Shao JF (2015) Damage and plastic deformation modeling of beishan granite under compressive stress conditions. Rock Mech Rock Eng 48(4):1623–1633
Eberhardt E, Stead D, Stimpson B (1999) Quantifying progressive pre-peak brittle fracture damage in rock during uniaxial compression. Int J Rock Mech Min Sci 36:361–380
Gatelier N, Pellet F, Loret B (2002) Mechanical damage of an anisotropic porous rock in cyclic triaxial tests. Int J Rock Mech Min Sci 39(3):335–354
Huang J, Griffiths DV (2008) Observations on return map** algorithms for piecewise linear yield criteria. Int J Geomech 8:253–265
Israr J, Indraratna B (2017) Internal stability of granular filters under static and cyclic loading. J Geotech Geoenviron Eng 143(6)
Kim JS, Lee KS, Cho WJ, Choi HJ, Cho GC (2014) A comparative evaluation of stress-strain and acoustic emission methods for quantitative damage assessments of brittle rock. Rock Mech Rock Eng 48(2):495–508
Lemaitre J (1984) How to use damage mechanics. Nucl Eng Des 80(2):233–245
Liu L, Xu WY, Zhao LY, Zhu QZ, Wang RB (2016) An experimental and numerical investigation of the mechanical behavior of granite gneiss under compression. Rock Mech Rock Eng 50(2):499–506
Salari MR, Saeb S, Willam KJ, Patchet SJ, Carrasco RC (2004) A coupled elastoplastic damage model for geomaterials. Comput Method Appl M 193(27–29):2625–2643
Shao JF, Chau KT, Feng XT (2006a) Modeling of anisotropic damage and creep deformation in brittle rocks. Int J Rock Mech Min Sci 43(4):582–592
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):218–232
Shen WQ, Shao JF, Kondo D, Gatmiri B (2012) A micro-macro model for clayey rocks with a plastic compressible porous matrix. Int J Plast 36:64–85
Simo JC, Ortiz M (1985) A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations. Comput Methods Appl Mech Eng 49(2):221–245
Wang SS, Xu WY, Wang W (2020) Experimental and numerical investigations on hydro-mechanical properties of saturated fine-grained sandstone. Int J Rock Mech Min Sci 127
Yamada S, Sakai T, Nakano M, Noda T (2022) Method to introduce the cementation effect into existing elastoplastic constitutive models for soils. J Geotech Geoenviron Eng 148(5):04022013
Yang SQ, Hu B (2018) Creep and long-term permeability of a red sandstone subjected to cyclic loading after thermal treatments. Rock Mech Rock Eng 51(10):2981–3004
Yang SQ, Xu P, Ranjith PG, Chen GF, **g HW (2015) Evaluation of creep mechanical behavior of deep-buried marble under triaxial cyclic loading. Arab J Geosci 8:6567–6582
Zhang JC (2017) Experimental and modelling investigations of the coupled elastoplastic damage of a quasi-brittle rock. Rock Mech Rock Eng 51(2):465–478
Zhang T, Xu W, Wang H, Wang R, Yan L, Hu M (2021) Anisotropic mechanical behaviour of columnar jointed rock masses subjected to cyclic loading: an experimental investigation. Int J Rock Mech Min Sci 148
Zhang T, Xu W, Xu J (2022) Experimental and numerical investigations on the mechanical behavior of basalt in the dam foundation of the Baihetan Hydropower Station. Int J Geomech 22(2)
Zhao LY, Zhu QZ, Shao JF (2018) A micro-mechanics based plastic damage model for quasi-brittle materials under a large range of compressive stress. Int J Plast 100:156–176
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This research is supported by the Natural Science Foundation of China (Grant Nos. 51939004, 11772118).
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Zhang, T., Xu, W. Experimental analysis and elastoplastic damage modeling the mechanical properties of compact sandstone. Arab J Geosci 17, 17 (2024). https://doi.org/10.1007/s12517-023-11802-6
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DOI: https://doi.org/10.1007/s12517-023-11802-6