A statistical theory of dislocation dynamics. II. Mathematical properties

Ananthakrishna, G. (1981) A statistical theory of dislocation dynamics. II. Mathematical properties Journal of Physics D: Applied Physics, 14 (11). pp. 2091-2100. ISSN 0022-3727

Full text not available from this repository.

Official URL: http://iopscience.iop.org/0022-3727/14/11/016/

Related URL: http://dx.doi.org/10.1088/0022-3727/14/11/016

Abstract

Investigates the mathematical properties of the statistical model for dislocation dynamics introduced in the context of creep. The situation corresponds to a nonstationary process in which all the cumulants depend on the density. Based on expressions derived for the first four cumulants via a series expansion derived in the authors' earlier work, they derive an approximate form for the characteristic function. The solution is shown to be a good approximation. The distribution function is platykurtic in nature. The velocity autocorrelation function is also calculated.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics.
ID Code:72005
Deposited On:28 Nov 2011 05:13
Last Modified:28 Nov 2011 05:13

Repository Staff Only: item control page