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000838482 1001_ $$0P:(DE-HGF)0$$aNeugebauer, J.$$b0
000838482 245__ $$aModelling of Grain Bondary Dynamics Using Amplitude Equations
000838482 260__ $$aBerlin$$bSpringer$$c2017
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000838482 520__ $$aWe 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.
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000838482 7001_ $$0P:(DE-Juel1)169125$$aHüter, Claas$$b1$$eCorresponding author$$ufzj
000838482 7001_ $$0P:(DE-HGF)0$$aBoussinot, G.$$b2
000838482 7001_ $$0P:(DE-HGF)0$$aSvendsen, B.$$b3
000838482 7001_ $$0P:(DE-HGF)0$$aPrahl, U.$$b4
000838482 7001_ $$0P:(DE-Juel1)130979$$aSpatschek, Robert$$b5$$ufzj
000838482 773__ $$0PERI:(DE-600)1478722-2$$a10.1007/s00161-015-0424-7$$n4$$p895-911$$tContinuum mechanics and thermodynamics$$v29$$x0935-1175$$y2017
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