Dislocation Dynamics using Anisotropic Elasticity: Methodology and Analysis.

Rhee, M. ; Stolken, J. S. ; Bulatov, V. V. ; Diaz de la Rubia, T. ; Zbib, H. M. ; Hirth, J. P.

Technical Information Center Oak Ridge Tennessee

关键词: Dislocations;    Elasticity;    Evaluation;    Interaction range;    Monocrystals;   

RP-ID  :  DE200415008102

学科分类：工程和技术（综合）

美国|英语

来源: National Technical Reports Library

【 摘 要 】

A numerical methodology to incorporate anisotropic elasticity into three-dimensional dislocation dynamics codes has been developed, employing theorems derived by Lothe (1967), Brown (1967), Indenbom and Orlov (1968) and Asaro and Barnett (1976). The formalism is based on the stress field solution for a straight dislocation segment of arbitary orientation in 3-dimensional space. The general solution is given in a complicated closed integral form. To reduce the computation complexity, look-up tables are used to avoid heavy computations for the evaluation of the angular stress factor ((Sigma)(sub ij)) and its first derivative term ((Sigma)(sub ij)). The computation methodology and error analysis are discussed in comparison with known closed form solutions for isotropic elasticity.