Von Neumann–Mullins-type evolution equations for triple and quadruple junction controlled grain growth. (December 2015)

• Record Type: Journal Article
• Authors: Streitenberger, Peter; Zöllner, Dana
• Is Part Of: Scripta materialia. Volume 109(2015)
• Page Start: 52
• Page End: 55
• Publication Date: 2015-12
• Subjects: Grain growth -- Nanocrystalline material -- Junction control -- von Neumann–Mullins-relation; Materials -- Periodicals; Metallurgy -- Periodicals; Metalen; Legeringen; Materiaalkunde; Metals, metalworking and machinery industries; Metals; Electronic journals; 620.11
• DOI: 10.1016/j.scriptamat.2015.07.016
• Languages: English
• ISSNs: 1359-6462

Abstract

Graphical abstract: Abstract: The classical von Neumann–Mullins-law relates the area change rate of a grain in a two-dimensional polycrystalline microstructure to the number of neighboring grains yielding the well-known " N -6"-rule. In the present paper, we show that similar relations exist for the rate of size change as a function of number of neighboring grains for two- and three-dimensional polycrystalline grain microstructures under triple junction- and quadruple junction-control, which we find to be in very good agreement with simulation results.