Skip to main content
Log in

Assessing the Tensile Crack Growth in Rock Involves Employing a Seesawing Apparatus and its Calibrating Through XFEM: A New Approach

  • Research Paper
  • Published:
Iranian Journal of Science and Technology, Transactions of Civil Engineering Aims and scope Submit manuscript

Abstract

In this study, tensile crack growth of granite ring specimens has been determined using a novel testing apparatus. Also, Abacuses software (XFEM) has been used for numerical modeling of the crack growth and stress concentrations around the hole. For this purpose, a ring-shaped specimen with internal diameter of 60 mm and external diameters of 120 mm was prepared. These specimens tested by new testing device. The direct tensile tests were carried out on rock specimens using the new load transferring device called seesaw device. The ring tests were performed in Laboratory to observe the tensile strengths of the rock specimens. The results of the ISRM ring tests have been compared with the results obtained from the seesaw device test, which showed that the tensile strength obtained by the ring test is 18% higher than the measured tensile strength of the seesaw. These specimens were also modelled in Abaqus based on the extended finite element method (XFEM). Comparing the experimental and numerical values of the rocks’ tensile strengths validated the research scheme of this research. In the ring test, the failure mode occurs along the vertical axis surrounding the edges of the hole. Also, XFEM show that the tensile force was distributed in the right and the left of the hole in seesaw test. Numerical outputs have a good similarity with experimental seesaw test.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22
Fig. 23
Fig. 24
Fig. 25
Fig. 26
Fig. 27
Fig. 28
Fig. 29

Similar content being viewed by others

References

  • Akazawa T (1943) New test method for evaluating internal stress due to compression of concrete: the splitting tension test. J Japan Soc Civil Eng 29:777–787

    Google Scholar 

  • Albaijan I, Mahmoodzadeh A, Flaih LR, Ibrahim HH, Alashker Y, Mohammed AH (2023) Evaluating the tensile strength of reinforced concrete using optimized machine learning techniques. Eng Fract Mech 292:109677. https://doi.org/10.1016/j.engfracmech.2023.109677

    Article  Google Scholar 

  • Aliha MRM, Ebneabbasi P, Karimi HR, Nikbakht E (2021) A novel test device for the direct measurement of tensile strength of rock using ring shape sample. Int J Rock Mech Min Sci 139:104649. https://doi.org/10.1016/j.ijrmms.2021.104649

    Article  Google Scholar 

  • Álvarez-Pérez J, Mesa-Lavista M, Chávez-Gómez JH, Fajardo-San MG (2021) Experimental investigation on tensile strength of hollow concrete blocks. Mater Struct 54:164. https://doi.org/10.1617/s11527-021-01761-3

    Article  Google Scholar 

  • ASTM (2008b) D3967-08: standard test method for splitting tensile strength of intact rock core specimens. ASTM International, West Conshohocken

  • ASTM (2008a) D2936-08: standard test method for direct tensile strength of intact rock core specimens. ASTM Inter-national, West Conshohocken

  • ASTM (2016) D3967-16: Standard test method for splitting tensile strength of intact rock core specimens. ASTM International West Conshohocken, PA, USA

  • Berrenbaum R, Brodie I (1959) Measurement of the tensile strength of brittle materials. Brit J Appl Phys 10:281–286

    Article  Google Scholar 

  • Brace WF (1964) Brittle fracture of rocks. In: Judd WR (Eds.) Proceedings of the International conference on state of stress in the earth’s crust. Elsevier, New York, pp 111–174

  • Brook D (1993) The measurement and estimation of basic rock strength. rock Testing and Site Characterization. Elsevier, pp 41–66. https://doi.org/10.1016/B978-0-08-042066-0.50009-4

    Chapter  Google Scholar 

  • Carneiro FLLB (1943) A new method to determine the tensile strength of concrete. In: Proceedings of the 5th Meeting of the Brazilian association for technical rules

  • Cui Z, Qian S, Zhang G, Maochu Z (2021) An experimental investigation of the influence of loading rate on rock tensile strength and split fracture surface morphology. Rock Mech Rock Eng 54:1969–1983. https://doi.org/10.1007/s00603-021-02368-4

    Article  Google Scholar 

  • Diederichs MS, Kaiser PK (1999) Tensile strength and abutment relaxation as failure control mechanics in underground excavations. Int J Rock Mech Min Sci 36:69–96

    Article  Google Scholar 

  • Efe T, Demirdag S, Tufekci K, Sengun N, Altindag R (2021) Estimating the direct tensile strength of rocks from indirect tests. Arab J Geosci 14(14):1–23. https://doi.org/10.1007/s12517-021-07539-9

    Article  Google Scholar 

  • Erarslan N, Williams DJ (2012) Experimental, numerical and analytical studies on tensile strength of rocks. Int J Rock Mech Min Sci 49(1):21–30

    Article  Google Scholar 

  • Feng D, Tian L, Peng C (2011) Study of longitudinal cracking during settlement of soil based on extended finite element method. Eng Mech 28(5):149–154

    Google Scholar 

  • Fries TP, Belytschko T (2000) The extended/generalized finite element methods: an overview of the method and its applications. Int J Numer Met Eng 84(3):1–6

    MathSciNet  Google Scholar 

  • Fu JW, Haeri H, Yavari MD, Sarfarazi V, Marji MF, Guo M (2021) A linear elastic fracture mechanics analysis of the pre-cracked concrete failure mechanism under modes I, II, III, and IV loading conditions. Strength Mater 53:784–796. https://doi.org/10.1007/s11223-021-00344-5

    Article  Google Scholar 

  • Fu JW, Sarfarazi V, Naderi AA, Haeri H, Marji MF, Li T (2022) Physical test for analysis of failure behavior of embedded notches. Strength Mater 54:1145–1154. https://doi.org/10.1007/s11223-023-00489-5

    Article  Google Scholar 

  • Golewski GL (2023a) Mechanical properties and brittleness of concrete made by combined fly ash, silica fume and nanosilica with ordinary Portland cement. AIMS Mater Sci 10(3):390–404

    Article  Google Scholar 

  • Golewski GL (2023b) Concrete composites based on quaternary blended cements with a reduced width of initial microcracks. Appl Sci 13:7338. https://doi.org/10.3390/app13127338

    Article  Google Scholar 

  • Golewski GL (2023c) The phenomenon of cracking in cement concretes and reinforced concrete structures: the mechanism of cracks formation, causes of their initiation, types and places of occurrence, and methods of detection—a review. Buildings 13:765. https://doi.org/10.3390/buildings13030765

    Article  Google Scholar 

  • Golewski GL (2023d) Effect of coarse aggregate grading on mechanical parameters and fracture toughness of limestone concrete. Infrastructures 8:117. https://doi.org/10.3390/infrastructures8080117

    Article  Google Scholar 

  • Golewski GL (2023e) Study of strength and microstructure of a new sustainable concrete incorporating pozzolanic materials. Struct Eng Mech Struct Eng Mech 86(4):431–444

    Google Scholar 

  • Gorski B (1993) Tensile testing apparatus. United States Patent, 5193396

  • Griffith AA (1921) The phenomena of rupture and flow in solids. Philos Trans R Soc Lond 221A:163–198

    Google Scholar 

  • Guan F, Li Y, Gao G, Zachert H, Eichhoff G, Beroya-Eitner MA (2022) Horizontal compression test: a proposed method for indirect determination of tensile strength of stiff soils and soft rocks. Front Earth Sci 10:839073. https://doi.org/10.3389/feart.2022.839073

    Article  Google Scholar 

  • Haimson BC, Cornet FH (2003) ISRM suggested methods for rock stress estimation—Part 3: hydraulic fracturing (HF) and/or hydraulic testing of pre-existing fractures (HTPF). Int J of Rock Mech Min Sci 40:1011–1020

    Article  Google Scholar 

  • Hedayat A, Ochoa F, Khasawneh Y (2015) Numerical simulation of crack initiation and growth in rock specimens containing a flaw under uniaxial compression. In: Proceedings of the 49th US Rock Mechanics Symposium, San Francisco

  • Hibbitt H, Karlsson B, Sorensen P (2012) ABAQUS theory manual, version 6.12, Pawtucket, Rhode Island, USA

  • Hoek E (1964) Fracture of anisotropic rock. J S Afr Inst Min Metall 64(10):501–518

    Google Scholar 

  • ISRM (1978) Suggested methods for determining tensile strength of rock materials. Int J Rock Mech Min Sci Geomech Abstr 15(3):99–103

    Article  Google Scholar 

  • Jaeger JC, Cook NGW (1976) Fundamental of Rock Mechanics, 2nd edn. Chapman and Hall, London

    Google Scholar 

  • Jiang R, Duan K, Zhang Q (2022) Effect of heterogeneity in micro-structure and micro-strength on the discrepancies between direct and indirect tensile tests on brittle rock. Rock Mech Rock Eng 55:981–1000. https://doi.org/10.1007/s00603-021-02700-y

    Article  Google Scholar 

  • Kaklis K, Maurigiannakis S, Agioutantis Z, Istantso C (2009) Influence of specimen shape on the indirect tensile strength of transversely isotropic dionysos marble using the three- point bending test. Strain 45:393–399

    Article  Google Scholar 

  • Klanphumeesri S (2010) Direct tension testing of rock specimens. Masters of Engineering Tshesis, Suranaree University of Technology

  • Komurlu E, Demir S (2020) Determination of direct tensile strength values of rock materials by a new test method of drilled disc tension. Period Polytechn Civil Eng 64(1):33–41

    Google Scholar 

  • Li D, Wong LNY (2012) The Brazilian disc test for rock mechanics applications: review and new insights. Rock Mech Rock Eng 46:269–287

    Article  Google Scholar 

  • Li D, Li B, Han Z, Zhu Q (2020) Evaluation on rock tensile failure of the brazilian discs under different loading configurations by digital image correlation. Appl Sci 10:5513. https://doi.org/10.3390/app10165513

    Article  Google Scholar 

  • Liao WC, Chen PS, Hung CW, Wagh SK (2020) An innovative test method for tensile strength of concrete by applying the strut-and-tie methodology. Materials 13(12):2776. https://doi.org/10.3390/ma13122776

    Article  Google Scholar 

  • Liu J, Lyu C, Lu G, Shi X, Li H, Liang C, Deng C (2022) Evaluating a new method for direct testing of rock tensile strength. Int J Rock Mech Min Sci 160:105258. https://doi.org/10.1016/j.ijrmms.2022.105258

    Article  Google Scholar 

  • Mariani S, Perego U (2003) Extended finite element method for quasi-brittle fracture. Int J Numer Meth Eng 58(1):103–126

    Article  MathSciNet  Google Scholar 

  • Markides CF, Pazis DN, Kourkoulis SK (2012) The Brazilian disc under non-uniform distribution of radial pressure and friction. Int J Rock Mech Min Sci 50(1):47–55

    Article  Google Scholar 

  • Myer LR, Kemeny JM, Zheng Z, Suarex R, Ewy RT, Cook NGW (1992) Extensile cracking in porous rock under differential compressive stress. Micromechanical modeling of quasi-brittle materials behavior. Appl Mech Rev 45(8):263–280

    Article  Google Scholar 

  • Nilimaa J, Nilforoush R (2023) A direct tensile strength testing method for concrete from existing structures. Civil Eng 4:333–344. https://doi.org/10.3390/civileng4010019

    Article  Google Scholar 

  • Nistor I, Pantalé O, Caperaa S (2008) Numerical implementation of the eXtended finite element method for dynamic crack analysis. Adv Eng Softw 39(7):573–587

    Article  Google Scholar 

  • Pandit GS (1970) Discussion on the paper, concrete rings for determining tensile strength of concrete. ACI J 1970:847–848

    Google Scholar 

  • Sarfarazi V, Haeri H, Ebneabbasi P, Bagher shemirani A, Hedayat A, (2018) determination of tensile strength of concrete using a novel apparatus, construction and building materials. Construct Build Mater 166:817–832

    Article  Google Scholar 

  • Sengun N, Altindag R (2013) Prediction of specific energy of carbonate rock in industrial stones cutting process. Arab J Geosci 6:1183–1190

    Article  Google Scholar 

  • Shams G, Rivard P, Moradian O (2023) Tensile strength and failure behavior of rock-mortar interfaces: direct and indirect measurements. J Rock Mech Geotechn Eng. https://doi.org/10.1016/j.jrmge.2023.04.013

    Article  Google Scholar 

  • Stacey TR (1981) A simple extension strain criterion for fracture of brittle rock. Int J Frac 18:469–474

    Google Scholar 

  • Taponnier P, Brace WF (1976) Development of stress-induced microcracks in Westerly granite. Int J Rock Mech Min Sci and Geomech Abstr 13(4):103–112

    Article  Google Scholar 

  • Tavallali A, Vervoort A (2010) Failure of layered sandstone under Brazilian test conditions: effect of micro-scale parameters on macro-scale behaviour. Rock Mech Rock Eng 43(5):641–653

    Article  Google Scholar 

  • Turan M, Uzun Yaylacı E, Yaylacı M (2023) Free vibration and buckling of functionally graded porous beams using analytical, finite element, and artificial neural network methods. Arch Appl Mech 93:1351–1372. https://doi.org/10.1007/s00419-022-02332-w

    Article  Google Scholar 

  • Uzun Yaylacı E, Oner E, Yaylacı M, Ozdemir ME, Abushattal A, Birinci A (2022) Application of artificial neural networks in the analysis of the continuous contact problem. Struct Eng Mech 84(1):35–48. https://doi.org/10.12989/SEM.2022.84.1.035

    Article  Google Scholar 

  • Uzun Yaylacı E, Yaylacı M, Ozdemir ME, Terzi M, Ozturk S (2023) Analyzing the mechano-bactericidal effect of nano-patterned surfaces by finite element method and verification with artificial neural networks. Adv Nano Res 15(2):165–174. https://doi.org/10.12989/ANR.2023.15.2.165

    Article  Google Scholar 

  • Wu Y, Zhou Y (2022) Splitting tensile strength prediction of sustainable high-performance concrete using machine learning techniques. Environ Sci Pollut Res 29:89198–89209. https://doi.org/10.1007/s11356-022-22048-2

    Article  Google Scholar 

  • Xiong LX, Chen HJ (2020) Effects of high temperatures and loading rates on the splitting tensile strength of jointed rock mass. Geotech Geol Eng 38:1885–1898. https://doi.org/10.1007/s10706-019-01137-z

    Article  Google Scholar 

  • Yaylacı M, Öner E, Adıyaman G, Öztürk Ş, Uzun Yaylacı E, Ahmet B (2023a) Analyzing of continuous and discontinuous contact problems of a functionally graded layer: theory of elasticity and finite element method. Mech Based Des Struct Mach. https://doi.org/10.1080/15397734.2023.2262562

    Article  Google Scholar 

  • Yaylacı M, Uzun Yaylacı E, Ozdemir ME, Ozturk S, Sesli H, 2023b, Vibration and buckling analyses of FGM beam with edge crack: finite element and multilayer perceptron methods

  • Zhang L, Jing H, Liu H, Yin Q, Meng Y (2023) Effects of a weak interlayer zone on the indirect tensile strength and failure characteristics of rock. Environ Earth Sci 82:59. https://doi.org/10.1007/s12665-022-10741-x

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vahab Sarfarazi.

Ethics declarations

Conflict of interest

The authors have no conflicts of interest to declare that are relevant to the content of this article.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Haeri, H., Sarfarazi, V., Ebneabbasi, P. et al. Assessing the Tensile Crack Growth in Rock Involves Employing a Seesawing Apparatus and its Calibrating Through XFEM: A New Approach. Iran J Sci Technol Trans Civ Eng (2024). https://doi.org/10.1007/s40996-023-01334-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s40996-023-01334-0

Keywords

Navigation