provides a bridge from atomic-scale methods to the macroscale and has been widely used at an ever-increasing rate. This paper aims to briefly review the origin, basic idea, and development of phase-field models in a historical manner. The focus is...
Phase-Field Methods in Materials Science and Engineering 材料科学与工程中的相场方法.pdf,Nikolas Provatas and Ken Elder Phase-Field Methods in Materials Science and Engineering Related Titles Raabe, D., Roters, F., Barlat, F., Chen, L.-Q. (eds.) Continuum
内容简介· ··· This comprehensive and self-contained, one-stop source discusses phase-field methodology in a fundamental way, explaining complex mathematical and numerical techniques for solving phase-field and related continuum-field models. It also presents techniques used to model various phenomena...
The Diffuse Interface Approach in Material Science. Thermodynamic Concepts and Applications of Phase-Field Models The book is devoted to the application of phase-field (diffuse interface) models in materials science.聽Phase-field modeling emerged only recently as a the... H Emmerich - Springer-Verla...
This comprehensive and self-contained, one-stop source discusses phase-field methodology in a fundamental way, explaining complex mathematical and numerical techniques for solving phase-field and related continuum-field models. It also presents techniques used to model various phenomena in a detailed, ...
Phase-field models are well established simulation tools in materials science today. They may be divided into classes of physical order parameter models where the phases are distinguished by their local properties (concentration, or lattice strain) and indicator field models where the phases are identi...
1.1 The Role of Microstructure Materials Science 1 1.2 Free Boundary Problems and Microstructure Evolution 2 1.3 Continuum versus Sharp Interface Descriptions 5 References 7 2 Mean Field Theory of Phase Transformations 9 2.1 Simple Lattice Models 10 2.1.1 Phase Separation in a Binary Mixture 10 2.1...
GottsteinGünterEmmerich H, Siquieri R. Selected problems of phase-field modeling in materials science. In: Gottstein G, editor. Integral materials modeling: towards physics-based through-process models. Wein- heim, Germany: Weinheim; 2007.
The contribution of the bulk phases to the spatio-temporal change in Eq. (2) is augmented by solving for the evolution of the fundamental variable, \(\varvec{S}\). Depending on the thermodynamic nature of this variable, the expression governing its evolution varies. Multicomponent models ...
To design tailored materials, it is highly desirable to predict microstructures of alloys without empirical parameter. Phase field models (PFMs) rely on parameters adjusted to match experimental information, while first-principles methods cannot directly treat the typical length scale of 10 μm. Comb...