Abstract
The permanent distortion of an elastic material due to a shock wave generated by a high-velocity impact is modeled by a random walk of dislocations. The dislocation movement is inhibited by a spatial and energetic distribution of activation barriers. The dislocations also experience a radially outward stress bias from the point of impact. The experimentally observed scaling of the total integrated momentum as well as the scaling with time of the penetration distance and strength of the shock wave are obtained in this model.
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References
H. Scher and E. W. Montroll,Phys. Rev. B 12:2455 (1975).
G. Pfister and H. Scher,Adv. Phys. 27:747 (1978).
J. K. Dienes and J. M. Walsh inHigh Velocity Impact Phenomena, R. Kinslow, ed. (Academic Press, New York, 1979).
A. S. Krausz and H. Eyring,Deformation Kinetics (Wiley-Interscience, New York, 1975).
E. W. Montroll and G. H. Weiss,J. Math. Phys. 6:178 (1965).
M. F. Shlesinger,J. Stat. Phys. 10:421 (1974).
J. Klafter and R. Silbey,Phys. Rev. Lett. 44:55 (1980).
V. M. Kenkre, E. W. Montroll, and M. F. Shlesinger,J. Stat. Phys. 9:45 (1973).
W. Feller,An Introduction to Probability Theory and Its Application, Vol. 2 (Wiley, New York, 1966), pp. 186, 360.
T. Shioya and K. Kawata, inHigh Velocity Deformation of Solids, IUTAM Sym. K. Kawata and T. Shioiri, eds. (Springer-Verlag, Berlin, 1978).
W. J. Rae inHigh Velocity Impact Phenomena, R. Kinslow, ed. (Academic Press, New York, 1979) p. 277.
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Research supported by Defense Advanced Research Projects Agency.
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West, B.J., Shlesinger, M.F. Random walk of dislocations following a high-velocity impact. J Stat Phys 30, 527–535 (1983). https://doi.org/10.1007/BF01012326
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DOI: https://doi.org/10.1007/BF01012326