Abstract
A recently developed finite element method for the modeling of dislocations is improved by adding enrichments in the neighborhood of the dislocation core. In this method, the dislocation is modeled by a line or surface of discontinuity in two or three dimensions. The method is applicable to nonlinear and anisotropic materials, large deformations, and complicated geometries. Two separate enrichments are considered: a discontinuous jump enrichment and a singular enrichment based on the closed-form, infinite-domain solutions for the dislocation core. Several examples are presented for dislocations constrained in layered materials in 2D and 3D to illustrate the applicability of the method to interface problems.
Original language | English (US) |
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Pages (from-to) | 200-214 |
Number of pages | 15 |
Journal | Journal of the Mechanics and Physics of Solids |
Volume | 56 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2008 |
Externally published | Yes |
Keywords
- Dislocations
- Extended finite element method
- Interfaces
- Nonlinear
- Peach-Koehler force
ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering