A model for erosion at normal impact

Abstract Numerical simulations of lip formation indicate that the thermal softening induced flow localisation at the edge of impact craters proposed by Sundararajan is not a general removal mechanism, which was unresolved in Hutchings' model. By considering a mechanism for erosion caused by the residual tensile stress, and applying the Johnson-Cook fracture model, the ratio of the removed volume to the indentation volume and the erosion ductility can be estimated. These are two key problems left unsolved, theoretically, in Hutching's model. The erosion model proposed in this paper can evaluate the influences of strain rate and temperature rise on the erosion rate. Comparisons of the theoretical predictions based on this model and the observed experimental erosion rates are reasonably good.

[1]  D. Steinberg,et al.  A constitutive model for metals applicable at high-strain rate , 1980 .

[2]  William Feller,et al.  An Introduction to Probability Theory and Its Applications , 1967 .

[3]  A. Ball,et al.  On thermomechanical effects during solid particle erosion , 1991 .

[4]  Ian M. Hutchings,et al.  Thermal effects in the erosion of ductile metals , 1989 .

[5]  S. Bahadur,et al.  Work hardening in erosion due to single-particle impacts☆ , 1984 .

[6]  D. M. Tracey,et al.  On the ductile enlargement of voids in triaxial stress fields , 1969 .

[7]  A. Wang,et al.  Impact deformation and damage of a high chromium white cast iron by spherical projectile at normal incidence , 1991 .

[8]  Albert C. Holt,et al.  Suggested Modification of the P‐α Model for Porous Materials , 1972 .

[9]  G. R. Johnson,et al.  Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures , 1985 .

[10]  G. Sundararajan A comprehensive model for the solid particle erosion of ductile materials , 1991 .

[11]  S. Al-Hassani,et al.  Multiple Impact Erosion of Ductile Metals by Spherical Particles , 1977 .

[12]  D. Tabor Hardness of Metals , 1937, Nature.

[13]  A. Gurson Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I—Yield Criteria and Flow Rules for Porous Ductile Media , 1977 .

[14]  S. Al-Hassani The Shot Peening of Metals — Mechanics and Structures , 1982 .

[15]  S. Buravova Erosion spalling mechanism , 1992 .

[16]  C. N. Baronet,et al.  The elasto‐plastic indentation of a half‐space by a rigid sphere , 1971 .

[17]  J. N. Johnson,et al.  Tensile plasticity and ductile fracture , 1988 .

[18]  Ian M. Hutchings,et al.  A MODEL FOR THE EROSION OF METALS BY SPHERICAL PARTICLES AT NORMAL INCIDENCE - eScholarship , 1981 .

[19]  S. Bahadur,et al.  The significance of the erosion parameter and the mechanisms of erosion in single-particle impacts , 1984 .

[20]  Paul Shewmon,et al.  A new model for the erosion of metals at normal incidence , 1983 .