Modeling the Defects That Exists in Crystalline Structures

Authors

Kiet A. Tran, Portland State UniversityFollow

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.

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© Copyright the author(s)

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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://archives.pdx.edu/ds/psu/29453