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Threshold fracture energy in solid particle erosion
Authors:I. Argatov  Yu. Petrov
Affiliation:1. Institute of Mathematics and Physics , Aberystwyth University , Ceredigion SY23 3BZ, Wales , UK;2. Institute for Problems of Mechanical Engineering of the Russian Academy of Sciences , V.O., Bolshoy pr., 61, 199178 St. Petersburg , Russia;3. Institute for Problems of Mechanical Engineering of the Russian Academy of Sciences , V.O., Bolshoy pr., 61, 199178 St. Petersburg , Russia;4. Mathematics and Mechanics Faculty of the St. Petersburg State University , Stary Peterhoff, Universitetsky pr., 28, 198504 St. Petersburg , Russia
Abstract:Abstract

The effect of geometrical shape of eroding absolutely rigid particles on the threshold rate of failure has been studied. The Shtaerman–Kilchevsky theory of quasi-static blunt impact, which generalizes the Hertzs classical impact theory, is used for modelling the frictionless contact interaction of an axially-symmetric particle with an elastic half-space. The incubation time fracture criterion is applied for predicting surface fracture. It is shown that there exists a critical value of the particle shape parameter such that for all its lower values, the fracture energy possesses a non-zero minimal value.
Keywords:erosion  incubation time  blunt impact  threshold fracture energy
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