Crysal Plasticity Finite Element Simulations based on Continuum Dislocation Dynamics

Alireza Ebrahimi, Thomas Hochrainer

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Abstract

Plastic deformation of crystalline materials is the result of the motion and interaction of dislocations. Continuum dislocation dynamics (CDD) defines flux-type evolution equations of dislocation variables which can capture the kinematics of moving curved dislocations. Coupled with Orowan's law, which connects the plastic shear rate to the dislocation flux, CDD defines a dislocation density based material law for crystal plasticity. In the current work we provide simulations of a micro-bending experiment of a single crystal and compare the results qualitatively to those from discrete dislocation simulations from the literature. We show that CDD reproduces salient features from discrete dislocation simulations regarding the stress distribution, the dislocation density and the accumulated plastic shear, which would be hard to obtain from more traditional crystal plasticity constitutive laws. © 2016 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
Original languageEnglish
Title of host publicationProceedings in Applied Mathematics and Mechanics PAMM
Pages325-326
Volume16
Edition1
DOIs
Publication statusPublished - 2016

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Dislocations (crystals)
Plasticity
Fluxes
Plastics
Crystals
Shear deformation
Stress concentration
Plastic deformation
Kinematics
Single crystals
Crystalline materials
Experiments

ASJC Scopus subject areas

  • Materials Science(all)

Cite this

Ebrahimi, A., & Hochrainer, T. (2016). Crysal Plasticity Finite Element Simulations based on Continuum Dislocation Dynamics. In Proceedings in Applied Mathematics and Mechanics PAMM (1 ed., Vol. 16, pp. 325-326) https://doi.org/10.1002/pamm.201610151

Crysal Plasticity Finite Element Simulations based on Continuum Dislocation Dynamics. / Ebrahimi, Alireza; Hochrainer, Thomas.

Proceedings in Applied Mathematics and Mechanics PAMM. Vol. 16 1. ed. 2016. p. 325-326.

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Ebrahimi, A & Hochrainer, T 2016, Crysal Plasticity Finite Element Simulations based on Continuum Dislocation Dynamics. in Proceedings in Applied Mathematics and Mechanics PAMM. 1 edn, vol. 16, pp. 325-326. https://doi.org/10.1002/pamm.201610151
Ebrahimi A, Hochrainer T. Crysal Plasticity Finite Element Simulations based on Continuum Dislocation Dynamics. In Proceedings in Applied Mathematics and Mechanics PAMM. 1 ed. Vol. 16. 2016. p. 325-326 https://doi.org/10.1002/pamm.201610151
Ebrahimi, Alireza ; Hochrainer, Thomas. / Crysal Plasticity Finite Element Simulations based on Continuum Dislocation Dynamics. Proceedings in Applied Mathematics and Mechanics PAMM. Vol. 16 1. ed. 2016. pp. 325-326
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