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Dual‐mixed finite element analysis of crystalline sub‐micron gold
Author(s) -
Konchakova Natalia,
Husser Edgar,
Bargmann Swantje
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410152
Subject(s) - finite element method , discretization , momentum (technical analysis) , dislocation , plasticity , materials science , crystal (programming language) , mechanics , crystal plasticity , mathematical analysis , mathematics , physics , thermodynamics , composite material , computer science , finance , economics , programming language
An extended crystal plasticity model is applied to crystalline sub‐micron gold in order to study the mechanical response. Numerical results for different crystal sizes are presented and discussed. The governing equations are discretized and, subsequently, solved via a dual‐mixed finite element formulation [1, 2]. The evolution equation of the dislocation density is taken as a global field relation additionally to the balance of linear momentum, whereas the flow rule is solved locally at the Gauß point level [3,4]. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)