Phase-Field Models for Microstructure Evolution
Tóm tắt
▪ Abstract The phase-field method has recently emerged as a powerful computational approach to modeling and predicting mesoscale morphological and microstructure evolution in materials. It describes a microstructure using a set of conserved and nonconserved field variables that are continuous across the interfacial regions. The temporal and spatial evolution of the field variables is governed by the Cahn-Hilliard nonlinear diffusion equation and the Allen-Cahn relaxation equation. With the fundamental thermodynamic and kinetic information as the input, the phase-field method is able to predict the evolution of arbitrary morphologies and complex microstructures without explicitly tracking the positions of interfaces. This paper briefly reviews the recent advances in developing phase-field models for various materials processes including solidification, solid-state structural phase transformations, grain growth and coarsening, domain evolution in thin films, pattern formation on surfaces, dislocation microstructures, crack propagation, and electromigration.
Từ khóa
Tài liệu tham khảo
van der Waals JD, 1894, Z. Phys. Chem., 13, 657
Allen SM, 1977, J. Phys., 38, C7
Gunton JD, Miguel MS, Sahni PS. 1983.The dynamics of first-order phase transitions.InPhase Transitions and Critical Phenomena, ed. C Domb, JL Lebowitz, pp. 267–466. New York: Academic
Fix GJ. 1983. InFree Boundary Problems: Theory and Applications, ed. A Fasano, M Primicerio, Boston: Piman. 580 pp.
Wang YZ, Chen LQ. 1999.Simulation of microstructure evolution.InMethods in Materials Research, ed. EN Kaufmann, R Abbaschian, A Bocarsly, CL Chien, D Dollimore, et al. pp. 2a.3.1; 2a.3.23.New York: Wiley & Sons
Devonshire AF, 1954, Philos. Mag. Suppl., 3, 85
Landau LD, 1937, J. Exp. Theor. Phys., 7, 19
Khachaturyan AG, 1983, Theory of Structural Transformations in Solids.
Chen LQ. 2000.On the elastic field coupling in the diffuse-interface modeling of coherent microstructures.InPhase Transformations and Evolution in Materials, ed. PEA Turchi, A Gonis, pp. 209–20. Warrendale, PA: Miner. Met. Mater. Soc.
Khachaturyan AG, 1969, Sov. Phys. Solid State, 11, 118
Bragard J, 2001, Interface Sci.
Venugopalan V, Chen LQ. 2000.3D simulation of coarsening of gamma-prime precipitates in a Ni-Al alloy.InNucleation and Growth Processes in Materials, ed. A Gonis, PEA Turchi, AJ Ardell, pp. 327–32. Boston: Mater. Res. Soc.
Krill CE, 2002, Acta Mater.
Fan DN, 2001, Acta Mater.
Li YL, 2001, Acta Mater.
Cottrell AH. 1948.Effect of solute atoms on the behaviour of dislocations.InReport of a Conference on Strength of Solids, ed. NF Mott, pp. 30–38. London: Phys. Soc.
Rodney D, 2001, Acta Mater.
Deleted in proof
Vaithynanathan V, 2001, Phys. Rev. Lett.
Zhu JZ, 2001, Scripta Mater.