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Numerical approximation of higher-dimensional Continuum Dislocation Dynamics theory in single crystal plasticity

Thawinan, Ekkachai

Abstract:
The model of elasto-plasticity that based on dislocation densities obtained from the higher-dimensional Continuum Dislocations Dynamics (hdCDD) theory was proposed. The hdCDD was reformulated and analyzed in a more precise mathematical setting. The representative slip planes were introduced and the micro structure behavior happened within this domain. The full setting were provided by embedding multiple of representative slip planes using RKDG into the elastic body using FEM.

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DOI: 10.5445/IR/1000049994
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Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Publikationstyp Hochschulschrift
Jahr 2015
Sprache Englisch
Identifikator urn:nbn:de:swb:90-499948
KITopen-ID: 1000049994
Verlag KIT, Karlsruhe
Abschlussart Dissertation
Fakultät Fakultät für Mathematik (MATH)
Institut Institut für Angewandte und Numerische Mathematik (IANM)
Prüfungsdaten 07.10.2015
Referent/Betreuer Prof. C. Wieners
Schlagworte Higher-dimensional Continuum Dislocation Dynamics, Discontinuous Galerkin Methods, Single crystal plasticity, Microstructures
KIT – Die Forschungsuniversität in der Helmholtz-Gemeinschaft
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