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Determination of restitution coefficients for various granite samples

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Abstract

The restitution coefficient is used to measure the energy loss between two colliding objects. It is therefore a common research topic in several fields such as physics, engineering, and medicine for which the energy behavior corresponding to impact is important. This topic, especially in recent years, has also begun to attract interest for applications in mining engineering, which was initially used for estimating the efficiency of impact drilling systems and later in rock fall and mill simulations. In the future, with proper consideration for measurement systems and the quantities to be determined, restitution coefficients could represent an important parameter in other research areas of mining engineering such as the prediction of blast-induced vibration, identification and evaluation of excavation systems, and rock classification. The aim of this study is to determine the values of the coefficient of restitution (COR) for various granite samples, which has been attracting the interest of researchers in mining, building, and other such sectors in recent years. Owing to this interest, the results of this study are given within the framework of research in the mining and building industries. Evaluation of the study results indicated that the COR values for various granite samples could be quickly and easily assessed, but differences between the granite samples exist. Linking the reasons for these differences with rock material specifications and forming experimental standards will promote the use of COR as an important classification and/or design parameter in those disciplines such as mining and civil engineering, which are directly interested in rock units.

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References

  • Aguiar CE, Laudares F (2003) Listening to the coefficient of restitution and the gravitational acceleration of a bouncing ball. Am J Phys 71(5):499–501

    Article  Google Scholar 

  • Amrani D (2010) Investigating the relationship between half-life decay of the height and the height and the coefficient of restitution of bouncing balls using a microcomputer-based laboratory. Eur J Phys 31:717–725

    Article  Google Scholar 

  • Buzzi O, Giacomini A, Spadari M (2012) Laboratory investigation on high values of restitution coefficients. Rock Mech Rock Eng 45:35–43

    Article  Google Scholar 

  • Cau KT, Wong RHC, Wu JJ (2002) Coefficient of restitution and rotational motions of rockfall impacts. Int J Rock Mech Min Sci 39:69–77

    Article  Google Scholar 

  • Cross R (1999) The bounce of a ball. Am J Phys 67(3):222–227

    Article  Google Scholar 

  • Dong H, Moys MH (2003) Measurement of impact behaviour between balls and walls in grinding mills. Miner Eng 16:543–550

    Article  Google Scholar 

  • Esmaieli K, Hadjigeorgiou J (2011) Selecting ore pass-finger raise configurations in underground mines. Rock Mech Rock Eng 44:291–303

    Article  Google Scholar 

  • Falcon E, Laroche C, Fauve S, Coste C (1998) Behaviour of one inelastic ball bouncing repeatedly off the ground. Eur Phys J B3:45–53

    Article  Google Scholar 

  • Farkas N, Ramsier RD (2006) Measurement of coefficient of restitution made easy. Phys Educ 41(1):73–75

    Article  Google Scholar 

  • Ferreira da Silva MF (2007) Meaning and usefulness of the coefficient of restitution. Eur J Phys 28:1219–1232

    Article  Google Scholar 

  • Heidenreich B (2004) Small- and half-scale experimental studies of rockfall impacts on sandy slopes. PhD Thesis, École Polytechnique Fédérale De Lausanne, Lausanne, 243pp

  • Imre B, Räbsamen S, Springman SM (2008) A coefficient restitution of rock materials. Comput Geosci 34:339–350

    Article  Google Scholar 

  • Jackson RL, Gren I, Marghitu DB (2010) Predicting the coefficient of restitution of impacting elastic-perfectly plastic spheres. Nonlinear Dyn 60:217–229

    Article  Google Scholar 

  • Jankowski R (2010) Experimental study on earthquake-induced pounding between structural elements made of different building materials. Earthq Eng Struct Dyn 39:343–354

    Google Scholar 

  • Kalala JT, Moys MH (2004) DEM modelling of liner wear in dry ball milling. J South Afr Inst Min Metall (SAIMM) 104(10):597–602

    Google Scholar 

  • Nauroy JF (2011) Geomechanics applied to the petroleum industry. Editions TECHNIP, Paris, 224 pp

  • Ruiz-Angulo A, Hunt ML (2010) Measurement of the coefficient of restitution for particle collisions with ductile surfaces in a liquid. Granul Matter 12:185–191

    Article  Google Scholar 

  • Sjölander K, Beskow J (2005) Wavesurfer (version 1.8.5) http://www.speech.kth.se/wavesurfer/

  • Sorrentino L, AlShawa O, Decanini LD (2011) The relevance of energy damping in unreinforced masonry rocking mechanisms. Exp Anal Investig Bull Earthq Eng 9:1617–1642

    Article  Google Scholar 

  • Stronge WJ (2000) Impact mechanics. Cambridge University Press, Cambridge, 280

    Book  Google Scholar 

  • Tavares LM (1999) Energy absorbed in breakage of single particles in drop weight testing. Miner Eng 12:43–50

    Article  Google Scholar 

  • Tavares LM (2004) Optimum routes for particle breakage by impact. Powder Technol 142:81–91

    Article  Google Scholar 

Download references

Acknowledgments

The author would like to thank the Doga Granite Company for their dear help and support during the process of procuring and preparing the required samples for this study. The author is also very grateful for the production of the experimental apparatus and the aid provided during the experiments by Hasan Kaplan.

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Correspondence to Ercan Arpaz.

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Arpaz, E. Determination of restitution coefficients for various granite samples. Arab J Geosci 8, 5285–5294 (2015). https://doi.org/10.1007/s12517-014-1571-z

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  • DOI: https://doi.org/10.1007/s12517-014-1571-z

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