Thin interface asymptotics for an energy/entropy approach to phase-field models with unequal conductivities
作者： G.B. McFadden , A.A. Wheeler , D.M. Anderson
DOI: 10.1016/S0167-2789(00)00064-6
关键词:
摘要: … phase-field model that is based on gradient functionals for both the entropy and internal energy of the system; such models … discontinuity that arises for unequal thermal conductivities. …
harvard.edu
jaxa.jp
elsevier.com参考文章(31)
J. S. Langer, Models of Pattern Formation in First-Order Phase Transitions Directions in Concensed Matter Physics: Memorial Volume in Honor of Shang-Keng Ma. Edited by GRINSTEIN S ET AL. Published by World Scientific Publishing Co. Pte. Ltd. ,vol. 1, pp. 165- 186 ,(1986) , 10.1142/9789814415309_0005
Applications of Field Theory to Statistical Mechanics Lecture Notes in Physics. ,vol. 216, ,(1985) , 10.1007/3-540-13911-7
C. Charach, P. C. Fife, On Thermodynamically Consistent Schemes for Phase Field Equations Open Systems & Information Dynamics. ,vol. 5, pp. 99- 123 ,(1998) , 10.1023/A:1009652531731
Gunduz Caginalp, Surface tension and supercooling in solidification theory Lecture Notes in Physics. ,vol. 216, pp. 216- 226 ,(1985) , 10.1007/3-540-13911-7_85
Jean E. Taylor, John W. Cahn, Linking anisotropic sharp and diffuse surface motion laws via gradient flows Journal of Statistical Physics. ,vol. 77, pp. 183- 197 ,(1994) , 10.1007/BF02186838
Eliot Fried, Morton E. Gurtin, Continuum theory of thermally induced phase transitions based on an order parameter Physica D: Nonlinear Phenomena. ,vol. 68, pp. 326- 343 ,(1993) , 10.1016/0167-2789(93)90128-N
Paul C. Fife, Dynamics of Internal Layers and Diffusive Interfaces ,(1988)
Eliot Fried, Morton E. Gurtin, A phase-field theory for solidification based on a general anisotropic sharp-interface theory with interfacial energy and entropy Physica D: Nonlinear Phenomena. ,vol. 91, pp. 143- 181 ,(1996) , 10.1016/0167-2789(95)00121-2
Michael J. Aziz, Interface attachment kinetics in alloy solidification Metallurgical and Materials Transactions A-physical Metallurgy and Materials Science. ,vol. 27, pp. 671- 686 ,(1996) , 10.1007/BF02648954
E. Fried, M.E. Gurtin, Dynamic solid-solid transitions with phase characterized by an order parameter Physica D: Nonlinear Phenomena. ,vol. 72, pp. 287- 308 ,(1994) , 10.1016/0167-2789(94)90234-8