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Threshold fracture energy in solid particle erosion: improved estimate for a rigid indenter impacting an elastic medium

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Abstract

The case of a single erosion impact is considered. The paper improves and extends the results from Argatov and Mishuris (Philos Mag 93:2485, 2013), where a lower bound for the threshold fracture energy of a rigid axisymmetric indenter was obtained based on the notion of incubation time prior to fracture. In the presented study we define an exact value for the initial energy required for fracture initiation and compare it with previous results. The incubation time based fracture criterion is utilized in order to locate the time of the initial fracture, along with the associated radial position. A brief examination of the effects of different particle parameters on the initial fracture is conducted.

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Acknowledgments

Yu.P. acknowledges Saint-Petersburg State University for research grants 6.38.243.2014 and 6.39.319.2014. G.M. and D.P. gratefully acknowledge the support of the European Union Seventh Framework Marie Curie Programme PARM-2 (project reference: PIAP-GA-2012-284544-PARM2), and M.W. acknowledges the European Union FP7 project INTERCER2 (reference: PIAP-GA-2011-286110-INTERCER2). All authors would like to thank Prof. I. Argatov and Prof. S. Mikhailov for their useful discussions and insightful comments.

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Authors and Affiliations

  1. Department of Mathematics, Aberystwyth University, Ceredigion, Wales, SY23 3BZ, UK

    D. Peck, M. Wrobel & G. Mishuris

  2. Rzeszow University of Technology, Powstancow Warszawy 8, 35959, Rzeszow, Poland

    G. Mishuris

  3. Mathematics and Mechanics Faculty, St. Petersburg State University, Universitetsky pr., 28, Stary Peterhof, 198504, Russia

    Yu. Petrov

  4. Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, V.O. Bolshoj pr. 61, St. Petersburg, 199178, Russia

    Yu. Petrov

Authors
  1. D. Peck
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  2. M. Wrobel
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  3. G. Mishuris
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  4. Yu. Petrov
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Correspondence to G. Mishuris.

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Peck, D., Wrobel, M., Mishuris, G. et al. Threshold fracture energy in solid particle erosion: improved estimate for a rigid indenter impacting an elastic medium. Meccanica 50, 2995–3011 (2015). https://doi.org/10.1007/s11012-015-0173-5

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  • DOI: https://doi.org/10.1007/s11012-015-0173-5

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