The book is devoted to the application of phase-field (diffuse interface) models in materials science. Phase-field modeling emerged only recently as a theoretical approach to tackle questions concerning the evolution of materials microstructure, the relation between microstructure and materials properties and the transformation and evolution of different phases. This volume brings together the essential thermodynamic ideas as well as the essential mathematical tools to derive phase-field model equations. Starting from an elementary level such that any graduate student familiar with the basic concepts of partial differential equations can follow, it shows how advances in the field of phase-field modeling will come from a combination of thermodynamic, mathematical and computational tools. Also included are two extensive examples of the application of phase-field models in materials science.
22 Liu, L.X. and Kirkaldy, J.S. (1995) Acta Metall. Mater., 43, 2891. 23 Bouchard, D. and Kirkaldy, J.S. (1997) Metall. Mater. Trans. B, 28, 651. 24 Losert, W., Shi, B.Q., and Cummins, H.Z. (1998) Proc. Natl. Acad. Sci. USA, 95, 431.
This book highlights some recent advances in interfacial research in the fields of fluid mechanics and materials science at the beginning of the twenty-first century.
... Nonlinear Sci. Numer. Simulat. 61, 167–179 (2018) He, J., Xu, S., Porsezian, K.: N-order bright and dark rogue waves ... integrable and nonintegrable regimes. J. Math. Phys. 23, 531 (1982) Xu, G.Q., Deng, S.F.: Painlevé analysis, ...
... Materials Research Society, 1998, 201–212. H. Emmerich, The Diffuse Interface Approach in Materials Science: Thermodynamic Concepts and Applications of Phase-Field Models, Lecture Notes in Physics, Vol. M, New York: Springer-Verlag ...
... materials: discrete simulation of plane shear flow. Phys. Rev. E 72, 021309 ... Diffuse interface model for incompressible two-phase flows with large ... Approach in Materials Science, Lecture Notes in Physics (Springer, New York, 2003) ...
This book provides state-of-the-art computational approaches for accelerating materials discovery, synthesis, and processing using thermodynamics and kinetics.
Materials Theory, Modeling, and Simulation for Predictive Design Pierre ... interface asymptotics. Third, additional effects introduced by the diffuse ... Science and Engineering (Wiley, Weinheim, 2010) 8. J.W. Cahn, J.E. Hilliard, J. Chem ...
... The Diffuse Interface Approach in Materials Science (Springer, Berlin-Heidel- berg, 2003) 20. D.I. Uzunov, Introduction to the Theory of Critical Phenomena, 2nd edn. (World Scientific, Singapore, 2010) 21. N. Provatas, K. Elder, Phase-Field ...
... interface field study in three dimensions, submitted. 85. Fan, D.N., Chen, L.Q., and Chen, SP. (1997) Effect of grain boundary width on grain growth in a diffuse-interface field model. Materials Science and Engineering A — Structural ...
... Theory of Transfor- mations in Metals and Alloys, 1st edn, Pergamon Press, Oxford, 1965, p. 537. 42 H. Emmerich, The Diffuse Interface Approach in Material Science: Thermodynamic Concepts and Applications of Phase-Field Models, Springer ...