Advisor
Christof Teuscher
Document Type
Report
Publication Date
8-24-2019
Subjects
Crystals -- Defects -- Measurement, Plasticity -- Mathematical models, Deformations (Mechanics), Finite element method
Abstract
This paper focuses on modeling defects in crystalline materials in one-dimension using field dislocation mechanics (FDM). Predicting plastic deformation in crystalline materials on a microscopic scale allows for the understanding of the mechanical behavior of micron-sized components. Following Das et al (2013), a one dimensional reduction of the FDM model is implemented using Discontinuous Galerkin method and the results are compared with those obtained from the finite difference implementation. Test cases with different initial conditions on the position and distribution of screw dislocations are considered.
Persistent Identifier
https://archives.pdx.edu/ds/psu/29453
Citation Details
Tran, Kiet A., "Modeling the Defects That Exists in Crystalline Structures" (2019). REU Final Reports. 13.
https://pdxscholar.library.pdx.edu/reu_reports/13
Final Symposium Presentation
tran-Presentation and Annotated Bibliography.pdf (1104 kB)
Presentation
REU Annotated Bibliography.pdf (60 kB)
Annotated Bibliography