1996/11/15 by Vijay B. Shenoy, V. B. Shenoy, Rob Phillips · 20 citations
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Boundary (topology) #Boundary value problem #Classical mechanics #Condensed matter physics #Dislocation #Dislocation creep #Finite element method #Fusion materials and technologies #High Temperature Alloys and Creep #Lattice (music) #Materials science #Mathematical analysis #Mathematics #Mechanics #Microstructure and mechanical properties #Peierls stress #Physics #Quantum mechanics #Stress (linguistics) #Stress field #Tension (geology) #Thermodynamics #cond-mat.mtrl-sci
paper · pdf · doi:10.1080/01418619708209981
published in Philosophical magazine. A/Philosophical magazine. A. Physics of condensed matter. Structure, defects and mechanical properties 76(2), 367-385 (Taylor & Francis) · LaTex, 20 pages, 11 figures
arxiv created 1996/11/15 · openalex publication_date 1997/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The interaction of screw dislocations with an applied stress is studied using atomistic simulations in conjunction with a continuum treatment of the role played by the far-field boundary condition. A finite cell of atoms is used to consider the response of dislocations to an applied stress and this introduces an additional force on the dislocation due to the presence of the boundary. Continuum mechanics is used to calculate the boundary force which is subsequently accounted for in the equilibrium condition for the dislocation. Using this formulation, the lattice resistance curve and the associated Peierls stress are calculated for screw dislocations in several close-packed metals. As a concrete example of the boundary force method, we compute the bow-out of a pinned screw dislocation; the line tension of the dislocation is calculated from the results of the atomistic simulations using a variational principle that explicitly accounts for the boundary force.