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Driving forces on dislocations: finite element analysis in the context of the non-singular dislocation theory

Zhou, Xiandong ; Reimuth, Christoph ; Stein, Peter ; Xu, Bai-Xiang (2021)
Driving forces on dislocations: finite element analysis in the context of the non-singular dislocation theory.
In: Archive of Applied Mechanics, 91 (11)
doi: 10.1007/s00419-021-02017-w
Artikel, Bibliographie

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Kurzbeschreibung (Abstract)

This work presents a regularized eigenstrain formulation around the slip plane of dislocations and the resultant non-singular solutions for various dislocation configurations. Moreover, we derive the generalized Eshelby stress tensor of the configurational force theory in the context of the proposed dislocation model. Based on the non-singular finite element solutions and the generalized configurational force formulation, we calculate the driving force on dislocations of various configurations, including single edge/screw dislocation, dislocation loop, interaction between a vacancy dislocation loop and an edge dislocation, as well as a dislocation cluster. The non-singular solutions and the driving force results are well benchmarked for different cases. The proposed formulation and the numerical scheme can be applied to any general dislocation configuration with complex geometry and loading conditions.

Typ des Eintrags: Artikel
Erschienen: 2021
Autor(en): Zhou, Xiandong ; Reimuth, Christoph ; Stein, Peter ; Xu, Bai-Xiang
Art des Eintrags: Bibliographie
Titel: Driving forces on dislocations: finite element analysis in the context of the non-singular dislocation theory
Sprache: Englisch
Publikationsjahr: November 2021
Ort: Berlin ; Heidelberg
Verlag: Springer
Titel der Zeitschrift, Zeitung oder Schriftenreihe: Archive of Applied Mechanics
Jahrgang/Volume einer Zeitschrift: 91
(Heft-)Nummer: 11
DOI: 10.1007/s00419-021-02017-w
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Kurzbeschreibung (Abstract):

This work presents a regularized eigenstrain formulation around the slip plane of dislocations and the resultant non-singular solutions for various dislocation configurations. Moreover, we derive the generalized Eshelby stress tensor of the configurational force theory in the context of the proposed dislocation model. Based on the non-singular finite element solutions and the generalized configurational force formulation, we calculate the driving force on dislocations of various configurations, including single edge/screw dislocation, dislocation loop, interaction between a vacancy dislocation loop and an edge dislocation, as well as a dislocation cluster. The non-singular solutions and the driving force results are well benchmarked for different cases. The proposed formulation and the numerical scheme can be applied to any general dislocation configuration with complex geometry and loading conditions.

Freie Schlagworte: Dislocation, Driving force, Non-singular continuum theory, Finite element method
Sachgruppe der Dewey Dezimalklassifikatin (DDC): 600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften und Maschinenbau
600 Technik, Medizin, angewandte Wissenschaften > 660 Technische Chemie
Fachbereich(e)/-gebiet(e): 11 Fachbereich Material- und Geowissenschaften
11 Fachbereich Material- und Geowissenschaften > Materialwissenschaft
11 Fachbereich Material- und Geowissenschaften > Materialwissenschaft > Fachgebiet Mechanik Funktionaler Materialien
Hinterlegungsdatum: 27 Mär 2024 06:52
Letzte Änderung: 27 Mär 2024 06:52
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