Resolution of the threshold fracture energy paradox for solid particle erosion

Abstract

Previous models of a single erosion impact, for a rigid axisymmetric indenter defined by the shape function , have shown that a critical shape parameter exists which determines the behaviour of the threshold fracture energy. However, repeated investigations into this parameter have found no physical explanation for its value. Again utilising the notion of incubation time prior to fracture, this paper attempts to provide a physical explanation of this phenomena by introducing a supersonic stage into the model. The final scheme allows for the effect of waves along the indenters contact area to be taken into account. The effect of this physical characteristic of the impact on the threshold fracture energy and critical shape parameter are investigated and discussed.

Keywords:

• Erosion
• fracture
• incubation time
• supersonic
• blunt impact
• elastic half-space

Acknowledgements

The authors are very grateful to Prof. I. Argatov for the many illuminating remarks and fruitful discussions enjoyed during the creation of this paper.

Notes

No potential conflict of interest was reported by the authors.

1 Here the values , must be small enough to accurately model the asymptotic behaviour, but also not so small as to require infeasible velocities. See Appendix 1 for a more thorough examination of this choice.

Additional information

Funding

DP was supported by the FP7 PEOPLE Marie Curie action project PARM2 [grant number FP7-PEOPLE-2012-IAPP-284544] while GV, GM and YuP was supported by FP7 PEOPLE Marie Curie IRSES project TAMER [grant number IRSES-GA-2013-610547]. Also GV and YuP are supported by RFBR [grant number 14-01-00814], [grant number 16-51-53077], [grant number 16-01-00638], by the Presidium of the RAS, and Saint Petersburg State University [grant number 6.38.243.2014].