Abstract
The erosion of perfectly brittle materials under low-speed impacts is studied by the combination of the Hertzian contact theory and the maximum stress criterion. It is found that the fractional erosion per impact is proportional to the product of the square root of the yield strain and the ratio of the kinetic energy per volume of the impacting body to the critical strain energy density of the target. The novel formula is conceptually extended to the erosion of cracked brittle materials.
Issue Section:
Technical Brief
References
1.
Ludema
, K. C.
, and Ajayi
, L.
, 2019
, Friction, Wear, Lubrication: a Textbook in Tribology
, 2nd ed., Taylor & Francis, CRC Press
, Boca Raton
.2.
Huang
, Z.
, Li
, G.
, Tian
, S.
, Song
, X.
, Sheng
, M.
, and Shah
, S.
, 2018
, “Theoretical Basis of Abrasive Jet,” Abrasive Water Jet Perforation and Multi-Stage Fracturing
, Elsevier
, Cambridge
, pp. 1
–62
.3.
Evans
, A. G.
, Gulden
, M. E.
, and Rosenblatt
, M.
, 1978
, “Impact Damage in Brittle Materials in the Elastic-Plastic Response Regime
,” Proc. R. Soc. A: Math., Phys. Eng. Sci.
, 361
(1706
), pp. 343
–365
. 10.1098/rspa.1978.01064.
Ghadiri
, M.
, and Zhang
, Z.
, 2002
, “Impact Attrition of Particulate Solids. Part 1: A Theoretical Model of Chipping
,” Chem. Eng. Sci.
, 57
(17
), pp. 3659
–3669
. 10.1016/S0009-2509(02)00240-35.
Sheldon
, G. L.
, and Finnie
, I.
, 1966
, “The Mechanism of Material Removal in the Erosive Cutting of Brittle Materials
,” ASME J. Eng. Ind.
, 88
(4
), pp. 393
–399
. 10.1115/1.36726676.
Engel
, P. A.
, 1976
, Impact Wear of Materials
, Elsevier Scientific Publishing Company
, Amsterdam-Oxford-New York
.7.
Johnson
, K. L.
, 1985
, Contact Mechanics
, Cambridge University Press
, Cambridge
.8.
Janssen
, M.
, Zuidema
, J.
, and Wanhill
, R.
, 2004
, Fracture Mechanics
, 2nd ed., Spon Press
, Abingdon, Oxfordshire
.9.
Bourke
, M. C.
, and Viles
, H. A.
, 2017
, “Aeolian Features,” A Photographic Atlas of Rock Breakdown Features in Geomorphic Environments
, J. A.
Brearley
, M. C.
Bourke
, H. A.
Viles
and R.
Haas
, eds., Planetary Science Institute
, Tucson
, pp. 6
–22
.10.
Knight
, J.
, 2008
, “The Environmental Significance of Ventifacts: A Critical Review
,” Earth Sci. Rev.
, 86
(1–4
), pp. 89
–105
. 10.1016/j.earscirev.2007.08.00311.
Laity
, J. E.
, 2009
, “Landforms, Landscapes, and Processes of Aeolian Erosion,” Geomorphology of Desert Environments
, Parsons
, A. J.
, Abrahams
, A. D.
, eds., Springer
, The Netherlands, Dordrecht
, pp. 597
–627
.12.
Durand
, M.
, and Bourquin
, S.
, 2013
, “Criteria for the Identification of Ventifacts in the Geological Record: A Review and New Insights
,” C. R. Geosci.
, 345
(3
), pp. 111
–125
. 10.1016/j.crte.2013.02.00413.
Goudie
, A. S.
, 2007
, “Mega-yardangs: A Global Analysis
,” Geography Compass
, 1
(1
), pp. 65
–81
. 10.1111/j.1749-8198.2006.00003.x14.
Laity
, J.
, 2008
, Deserts and Desert Environments
, Environmental systems and global change series
, Vol. 2
. Wiley-Blackwell
, Chichester UK; Hoboken, NJ
.15.
Greeley
, R.
, and Iversen
, J. D.
, 1985
, Wind As a Geological Process: on Earth, Mars, Venus and Titan
, Cambridge University Press
, Cambridge
.16.
Carr
, M. H.
, 2006
, The Surface of Mars
, Cambridge Planetary Science Series
, Cambridge University Press
, Cambridge, New York
.17.
Laity
, J. E.
, and Bridges
, N. T.
, 2009
, “Ventifacts on Earth and Mars: Analytical, Field, and Laboratory Studies Supporting Sand Abrasion and Windward Feature Development
,” Geomorphology
, 105
(3–4
), pp. 202
–217
. 10.1016/j.geomorph.2008.09.01418.
Greeley
, R.
, Leach
, R. N.
, Williams
, S. H.
, White
, B. R.
, Pollack
, J. B.
, Krinsley
, D. H.
, and Marshall
, J. R.
, 1982
, “Rate of Wind Abrasion on Mars
,” J. Geophys. Res.: Solid Earth
, 87
(B12
), pp. 10009
–10024
. 10.1029/JB087iB12p1000919.
Wang
, Z.-T.
, Wang
, H.-T.
, Niu
, Q.-H.
, Dong
, Z.-B.
, and Wang
, T.
, 2011
, “Abrasion of Yardangs
,” Phys. Rev. E
, 84
(3
), p. 031304
. 10.1103/PhysRevE.84.03130420.
Ning
, W.-X.
, Huang
, X.-Q.
, Wang
, X.-S.
, Li
, Q.
, and Wang
, Z.-T.
, 2019
, “Abrasion Rates of Ventifacts
,” SN Appl. Sci.
, 1
(8
), p. 855
. 10.1007/s42452-019-0881-x21.
Barber
, J. R.
, 2018
, Contact Mechanics
, Solid Mechanics and Its Applications
, Vol. 250
, Springer
, Cham
.22.
Finnie
, I.
, 1995
, “Some Reflections on the Past and Future of Erosion
,” Wear
, 186–187
(Part 1
), pp. 1
–10
. 10.1016/0043-1648(95)07188-123.
Meng
, H.
, and Ludema
, K.
, 1995
, “Wear Models and Predictive Equations: Their Form and Content
,” Wear
, 181–183
(Part 2
), pp. 443
–457
. 10.1016/0043-1648(95)90158-224.
Roisman
, I. V.
, and Tropea
, C.
, 2015
, “Impact of a Crushing Ice Particle Onto a Dry Solid Wall
,” Proc. R. Soc. A: Math. Phys. Eng. Sci.
, 471
(2183
), pp. 20150525
. 10.1098/rspa.2015.052525.
Perez
, N.
, 2016
, Fracture Mechanics
, 2nd ed., Springer
, Switzerland
.Copyright © 2020 by ASME
You do not currently have access to this content.