Journal Article FZJ-2017-07079

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Modelling of Grain Bondary Dynamics Using Amplitude Equations

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2017
Springer Berlin

Continuum mechanics and thermodynamics 29(4), 895-911 () [10.1007/s00161-015-0424-7]

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Abstract: We discuss the modelling of grain boundary dynamics within an amplitude equations description, which is derived from classical density functional theory or the phase field crystal model. The relation between the conditions for periodicity of the system and coincidence site lattices at grain boundaries is investigated. Within the amplitude equations framework, we recover predictions of the geometrical model by Cahn and Taylor for coupled grain boundary motion, and find both ⟨100⟩ and ⟨110⟩ coupling. No spontaneous transition between these modes occurs due to restrictions related to the rotational invariance of the amplitude equations. Grain rotation due to coupled motion is also in agreement with theoretical predictions. Whereas linear elasticity is correctly captured by the amplitude equations model, open questions remain for the case of nonlinear deformations.

Classification:

Contributing Institute(s):
  1. Werkstoffstruktur und -eigenschaften (IEK-2)
Research Program(s):
  1. 111 - Efficient and Flexible Power Plants (POF3-111) (POF3-111)

Appears in the scientific report 2017
Database coverage:
Current Contents - Engineering, Computing and Technology ; Ebsco Academic Search ; IF < 5 ; JCR ; NationallizenzNationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection
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