Kinetic Theory of Dislocation in Crystal Lattice.
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1972
- Accession Number
- AD0753576
Entities
People
- C. M. Tchen
Organizations
- Picatinny Arsenal