Phase-field models have become popular in recent years to describe a host of free-boundary problems in various areas of research. The key point of the phase-field approach is that surfaces and interfaces are implicitly described by continuous scalar fields that take constant values in the bulk ...
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...
Diffusion interface models,particularly the phase-field model among them has been widely used in recent years. 扩散界面模型中的相区场方法近来得到了广泛应用 ,文章给出了纯物质凝固过程相区场模型的数学推导过程 ,并结合变分方法将各向异性引入到模型中来。4...
Otherwise, extensive application of the phase-field models will be restricted, especially in multi-physical problems. Due to the smooth characteristics of the phase-field, the phase-field method can be implemented in any existing standard finite element to model complex crack patterns as shown in ...
论文> 大学论文 > phase-field modeling phasefield models from wikipedia, freeencyclopedia jump navigation,search phasefield model mathematicalmodel solvinginterfacial problems. hasmainly been applied solidificationdynamics, hasalso been applied othersituations viscousfingering, fracturedynamics, vesicledynamics, ...
PHASE-FIELD MODELS 115 Phase-Field Method A phase-field model describes a microstructure, both the compositional/structural domains and the interfaces, as a whole by using a set of field variables. The field variables are continuous across the interfacial regions, and hence the interfaces in...
The framework should support a variety of phase-field models to be useful to a large cross section of the phase-field community. 3. The interface for creating or modifying a set of governing equations should be straightforward and as separated as possible from the numerical methods used to solv...
Phase-field models for microstructure evolution 喜欢 0 阅读量: 1585 作者: LQ Chen 摘要: 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 ...
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-Verlag 被引量: 231发表: 2003年 The Diffuse Interface...
The thermodynamics of the ferroelectric domains follows those of existing phase-field models22. The free energyFis formulated as the sum of the Landau free energy, the gradient energy, the electrostatic energy, and the elastic energy, i.e., ...