Accession Number : AD0753576

Title :   Kinetic Theory of Dislocation in Crystal Lattice.

Descriptive Note : Technical rept.,

Corporate Author : PICATINNY ARSENAL DOVER N J

Personal Author(s) : Tchen,C. M.

Report Date : DEC 1972

Pagination or Media Count : 82

Abstract : The present report develops a kinetic theory of dislocation in crystal lattice in three parts. Part I concerns the analysis of the unsteady distribution of impurity atoms along a dislocation line in a crystal lattice under stress and temperature effects. The kinetic equation in the form of a Fokker-Planck equation is solved, and its solution serves as a basis of calculating the distribution of a particle-pair. A breakaway of an impurity atom from the dislocation line may occur, when the atom is subjected to a stress surpassing a critical value. Therefore, the breakaway process becomes important to the dynamical behavior of a lattice. For this purpose, the mechanism of breakaway is treated statistically in Part II, and the conditional nearest neighbor distribution including the breakaway process is derived. In Part III, statistical treatment is applied to a string model of dislocation, and derives a nonlinear stress-strain relation. The effects of temperature and strain rate are included.

Descriptors :   (*DISLOCATIONS, KINETIC THEORY), CRYSTAL LATTICES, IMPURITIES, STRESSES, STRAIN(MECHANICS), THERMAL PROPERTIES, INTERNAL FRICTION, DISTRIBUTION FUNCTIONS

Subject Categories : Crystallography
      Solid State Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE