2005/01/29 by Markus Lazar, Lazar, Markus
Engineering · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Geotechnical and Geomechanical Engineering #Materials Science (cond-mat.mtrl-sci) #Nonlocal and gradient elasticity in micro/nano structures #Thermoelastic and Magnetoelastic Phenomena #cond-mat.mtrl-sci
paper · pdf · doi:10.48550/arxiv.cond-mat/0501732
10 pages, 3 figures, to appear in: Proceedings of the EUROMECH Colloquium 445 on 'Mechanics of Material Forces'
arxiv created 2005/01/29 · openalex publication_date 2005/01/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider dislocations in the framework of Eringen's nonlocal elasticity. The fundamental field equations of nonlocal elasticity are presented. Using these equations, the nonlocal force stresses of a straight screw and a straight edge dislocation are given. By the help of these nonlocal stresses, we are able to calculate the interaction forces between dislocations (Peach-Koehler forces). All classical singularities of the Peach-Koehler forces are eliminated. The extremum values of the forces are found near the dislocation line.