Abstract
The mechanical characteristics and stress state caused by water jet loading are influenced by many factors that have restricted studies on the jet mechanism. Using the basic theory of elasticity and fluid dynamics, the mechanical effects of water jet loading are analyzed. Based on the simplified jet distribution pressure, the elastic analytical solution of the stress distribution in a semi-infinite plane under the jet distribution pressure is derived, and the stress distribution characteristics are discussed. In addition, the Mohr–Coulomb yield criterion served as a fracture criterion, enabling establishment of the relationship between jet pressure and rock strength. The results indicate that the compressive stress is symmetrically distributed around the jet axis with the maximum at the center. Conversely, the shear stress is Anti-symmetrically distributed around the jet axis with the maximum at the point (0.5r, ± 0.65r). The initial fracture of rock under the impact of water jet is mainly shear compression failure. The Mohr–Coulomb yield criterion is useful for estimating the relationships between the rock failure zone diameter with the water jet impact pressure.
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References
Bowden FP, Brunton JH (1958) Damage to solids by liquid impact at supersonic speeds. Nature 181(4613):873–875
Bowden FP, Brunton JH (1961) The deformation of solids by liquid impact at supersonic speeds. Proc R Soc Lond Ser A Math Phys Sci 263(1315):433–450
Brunton JH, Field JE, Thomas GP (1980) Deformation of solids by the impact of liquids, and its relation to rain damage in aircraft and missiles, to blade erosion in steam turbines, and to cavitation erosion. Nature 207(5000):925–926
Ciccu R, Grosso B (2010) Improvement of the excavation performance of PCD drag tools by water jet assistance. Rock Mech Rock Eng 143(4):465–474
Dai F, Xia K, Zheng H, Wang YX (2011) Determination of dynamic rock mode-I fracture parameters using cracked chevron notched semi-circular bend specimen. Eng Fract Mech 178(15):2633–2644
Dai F, Wei MD, Xu NW, Zhao T, Xu Y (2015) Numerical investigation of the progressive fracture mechanisms of four ISRM-suggested specimens for determining the mode I fracture toughness of rocks. Comput Geotech 69:424–441
Daniel IM (1976) Experimental studies of water jet impact on rock and rocklike materials. In: Proceedings of the 3rd international symposium on jet cutting technology, Chicago, IL, USA, pp 27–46
Field JE (1999) ELSI conference: invited lecture: liquid impact: theory, experiment, applications. Wear 233:1–12
Heymann FJ (1969) High-speed impact between a liquid drop and a solid surface. J Appl Phys 40(13):5113–5122
Karakurt I, Aydin G, Aydiner K (2014) An investigation on the kerf width in abrasive waterjet cutting of granitic rocks. Arab Geosci 7(7):2923–2932
Kumar A, Singh H, Kumar V (2017) Study the parametric effect of abrasive water jet machining on surface roughness of Inconel 718 using RSM-BBD techniques. Adv Manuf Process 33(13):1483–1490
Labuz JF, Zang A (2012) Mohr-Coulomb failure criterion. Rock Mech Rock Eng 45(6):975–979
Leach SJ, Walker GL, Smith AV, Farmer IW, Geoffrey T (1966) Some aspects of rock cutting by high speed water jets. Philos Trans R Soc Lond 260(1110):295–310
Lehocka D, Klich J, Foldyna J (2016) Copper alloys disintegration using pulsating water jet. Measurement 82:375–383
Lesser MB, Field JE (1983) The impact of compressible liquids. Annu Rev Fluid Mech 15(1):97–122
Li G, Huang Z (2007) The productivity-enhancing technique of deep penetrating perforation with a high-pressure water jet. Petrol Sci Technol 25(3):289–297
Li G, Liao H, Huang Z, Shen ZH (2009) Rock damage mechanisms under ultra-high pressure water jet impact. Mech Eng 45(10):284–292
Liu S, Liu Z, Cui X, Jiang H (2014) Rock breaking of conical cutter with assistance of front and rear water jet. Tunn Undergr Sp Tech 42:78–86
Liu ZH, Du C, Zheng Y (2017) Effects of nozzle position and waterjet pressure on rock-breaking performance of roadheader. Tunn Undergr Sp Tech 69:18–27
Lu Y, Liu Y, Li X (2010) A new method of drilling long boreholes in low permeability coal by improving its permeability. Int J Coal Geol 84(2):94–102
Lu Yy, Huang F, Liu Xc, Xiang X (2015) On the failure pattern of sandstone impacted by high-velocity water jet. Int J Impact Eng 76(feb):67–74
Meyer J, Salamon A, Herzmann N, Adam S, Kleine HD, Matthiesen I, Ueberreiter K, Peters K (2015) Isolation a): nd differentiation potential of human mesenchymal stem cells from adipose tissue harvested by water jet-assisted liposuction. Aesthet surg j 135(8):1030–1039
Momber AW (2001) Fluid jet erosion as a non-linear fracture process: a discussion. Wear 250(1):100–106
Momber AW (2004) Deformation and fracture of rocks due to high-speed liquid impingement. Int J Fract 130(3):683–704
Mullick S, Madhukar YK, Roy S (2016) Performance optimization of water-jet assisted underwater laser cutting of AISI 304 stainless steel sheet. Opt Laser Eng 83(aug):32–47
Shen ZH (1998) Theory and technology of water jet. China University of Petroleum Press, Dongying (in Chinese)
Tripathi R, Srivastava M, Hloch S, Chattopadhyaya S, Das AK, Pramanik A, Klichová D, Adamcik P (2018) Performance analysis of pulsating water jet machining during disintegration of rocks by means of acoustic emission. Lect. Notes Mech. Eng. 2018
Tripathi R, Hloch S, Chattopadhyaya S (2020) Influence of frequency change during sandstone erosion by pulsed waterjet. Mater Manuf Process 35(2):187–194
Wang RH (2010) Study on rock breaking mechanism under high pressure water jet. China University of Petroleum Press, Dongying (in Chinese)
Wang F, Wang R, Zhou W, Chen G (2017) Numerical simulation and experimental verification of the rock damage field under particle water jet impacting. Int J Impact Eng 102:169–179
Xu ZL (2006) Elasticity. Higher Education Press, Beijing (in Chinese)
Xu XH, Yu J (1984) Rock mechanics. China Coal Industry Publishing House, Beijing (in Chinese)
Yang Z, Dou L, Liu C (2016) Application of high-pressure water jet technology and the theory of rock burst control in roadway. Int J Min Sci Technol 26(5):929–935
Yuvaraj N, Kumar MP (2016) Cutting of aluminium alloy with abrasive water jet and cryogenic assisted abrasive water jet: a comparative study of the surface integrity approach. Wear 18–32
Zou Q, Lin B, Liang J, Liu T, Zhou Y, Yan F, Zhu C (2014) Variation in the pore structure of coal after hydraulic slotting and gas drainage. Adsorpt Sci Technol 32:647–666
Acknowledgements
This paper is funded by The National Key Research and Development Program of China (No. 2016YFC0401801), the National Natural Science Foundation of China (NO. 51879151, 51739007, U1806226), the Natural Science Foundation of Shandong Province (No. ZR201808140116) and the Doctoral Fund of Shandong Province (No. ZR2019BEE016).
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Li, B., Hu, M., Zhang, B. et al. Theoretical Analysis of the Mechanical Effects of Water Jet. Geotech Geol Eng 39, 237–246 (2021). https://doi.org/10.1007/s10706-020-01488-y
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DOI: https://doi.org/10.1007/s10706-020-01488-y