3 edition of **A phase-field model for high anisotropic interfacial energy** found in the catalog.

A phase-field model for high anisotropic interfacial energy

- 250 Want to read
- 11 Currently reading

Published
**2001**
by U.S. Dept. of Commerce, Technology Administration, National Institute of Standards and Technology in [Gaithersburg, MD]
.

Written in English

- Dendritic crystals -- Mathematical models,
- Crystal growth -- Mathematical models,
- Anisotropy,
- Phase transformations (Statistical physics)

**Edition Notes**

Other titles | Phase field model for high anisotropic interfacial energy |

Statement | G.B. McFadden, J.J. Eggleston, P.W. Voorhees |

Series | NISTIR -- 6706 |

Contributions | Eggleston, J. J, Voorhees, P. W. 1955-, National Institute of Standards and Technology (U.S.) |

The Physical Object | |
---|---|

Format | Microform |

Pagination | 19 p. |

Number of Pages | 19 |

ID Numbers | |

Open Library | OL15340314M |

Jul 30, · For anisotropic interfacial energies the respective structure is a result of self-organization of the unstable solidification front with a very weak trigger given by the interfacial energy anisotropy. Phase-field simulations capture the underlying physics and make it tractable on a computer. the phase-field model can employ its full Cited by: Phase-field models for anisotropic interfaces: Authors: McFadden, G. B The inclusion of anisotropic surface free energy and anisotropic linear interface kinetics in phase-field models is studied for the solidification of a pure material. It is found that the surface free energy and the thickness of the diffuse interface have the same.

The dynamics of a material in two phases is studied in the context of phase-field models based on a Landau–Ginzburg free energy functional. Phase field model of surface electromigration in single crystal metal thin films. A phase-field theory for solidification based on a general anisotropic sharp-interface theory with interfacial Cited by: A phase field model with non-local and anisotropic potential context, anisotropic microscopic interactions with a lattice-spin Hamiltonian were ﬁrst taken into account in [2] for two-fold anisotropy. model from a free energy functional that includes a non-local interaction term of the form JCited by: 2.

Kaempfer and Plapp developed phase-field modeling of sublimation dynamics and relevant vapor and thermal transport on the microstructure of dry snow and compared with microtomography images. van der Sman developed a phase-field model to simulate growth and suppression of ice crystals in sugar solutions, and successfully incorporated polymer Cited by: 1. Jul 30, · McFadden J B, Wheeler A A, Braun R J and Coriell S R Phase-field models for anisotropic interfaces Phys. Rev. E 48 Boettinger W J and McFadden G B Phase-field model for solidification of a eutectic alloy Proc. R. Soc Hillert M The role of interfacial energy during solid state phase transformations Jernkontorets Cited by:

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Therefore, a better understanding of dendrite growth for strong interfacial energy anisotropy is an important theoretical and practical problem. In the past decade, the phase field method has been intensively studied as a model taken into account the strong interfacial energy anisotropy for Cited by: 2.

A computationally efficient phase-field model is developed for two-phase systems with anisotropic interfacial energy. The approach allows for anisotropies sufficiently high that the interface has corners or missing crystallographic dirkbraeckmanvenice2017.com by: Oct 19, · Two different anisotropic phase-field formulations are presented and discussed: The classical model that allows the interface to vary with orientation, and another more recent formulation that has a constant interface width.

On phase-field modeling with a highly anisotropic interfacial energy. Fleck 1, L. Mushongera 1,Cited by: In addition, our phase-field model also includes an anisotropic surface energy γ, which in two space dimensions can be represented by γθ(), where θ is the interface orientation angle.

We note that anisotropic surface energy may lead to an ill-posed problem when there are miss-ing orientations in the corresponding Wulff shape. Get this from a library. A phase-field model for high anisotropic interfacial energy. [Geoffrey B McFadden; J J Eggleston; P W Voorhees; National Institute of Standards and Technology (U.S.)].

A phase field model is a mathematical model for solving interfacial problems. It has mainly been applied to solidification dynamics, but it has also been applied to other situations such as viscous fingering, fracture mechanics, hydrogen embrittlement, and vesicle dynamics.

The method substitutes boundary conditions at the interface by a partial differential equation for the evolution of an. Oct 11, · To simulate the growth of geological veins, it is necessary to model the crystal shape anisotropy.

Two different models, classical and natural models, which incorporate the surface energy anisotropy into the objective functional of Ginzburg–Landau type, are presented here. Phase-field evolution equations, considered in this work, are derived using the variational approach, and Cited by: 7.

The phase field models that incorporate interfacial energy anisotropy do so in one of two ways: (A) replace the gradient energy coefficient by an anisotropic function or polynomial, and (B. @article{osti_, title = {Phase-field modeling of void anisotropic growth behavior in irradiated zirconium}, author = {Han, G.

and Wang, H. and Lin, De-Ye and Zhu, X. and Hu, S. and Song, H. F.}, abstractNote = {A three-dimensional (3D) phase field model was developed to study the effects of surface energy and diffusivity anisotropy on void growth behavior in irradiated Zr.

A phase-field model was developed to study two-phase systems. With the addition of anisotropic interfacial energy, elastic strain energy, and wetting layer, the Stranski-Krastanow growth of. Phase field approach with anisotropic interface energy and interface stresses: Large strain formulation Abstract A thermodynamically consistent, large-strain, multi-phase field approach (with consequent interface stresses) is generalized for the case with anisotropic interface (gradient) energy (e.g.

an energy density that dependsCited by: A thermodynamically consistent, large-strain, multi-phase field approach (with consequent interface stresses) is generalized for the case with anisotropic interface (gradient) energy (e.g.

an energy density that depends both on the magnitude and direction of the gradients in the phase fields). Such a generalization, if done in the “usual” manner, yields a theory that can be shown to be Cited by: THREE-DIMENSIONAL NUMERICAL SIMULATIONS OF A PHASE-FIELD MODEL FOR ANISOTROPIC INTERFACIAL ENERGY Junseok Kim Abstract.

A computationally e–cient numerical scheme is presented for the phase-ﬂeld model of two-phase systems for anisotropic interfacial energy. The scheme is solved by using a nonlinear multigrid method. This permits simultaneous consideration of the influence of anisotropic interfacial energy and anisotropic strain energy upon nucleation.

This is extremely difficult to do using other models of strain energy because of mathematical problems. The model is applied to f.c.c. nuclei in Al-Cu and Cu-Co alloys. When describing the anisotropic evolution of microstructures in solids using phase-field models, the anisotropy of the crystalline phases is usually introduced into the interfacial energy by directional dependencies of the gradient energy coefficients.

We consider an alternative approach based on a wavelet analogue of the Laplace operator that is intrinsically anisotropic and dirkbraeckmanvenice2017.com: Maciek Korzec, Andreas Münch, Endre Süli, Barbara Wagner. and Simulations of Interfacial Problems - a Tutorial on Basic Phase field model for Bending elastic energy + line tension subject to fixed total volume and fixed individual phase areas anisotropic adaptivity.

• Phase field functions are computed in 3d domain mainly to. Crystal growth A phase-field model with convection D. Anderson Read. ICCG International Conference on Cr Read. Borrow. A phase-field model for high anisotropic interfacial energy Geoffrey B.

McFadden Read. A phase-field model with convection D. M Anderson Read. Growth of cadmium-zinc telluride crystals by controlled seeding. The Hamiltonian is expanded using complex Fourier series, and leads to a free energy and phase field equation with arbitrarily high order derivatives in the spatial variable.

Formal asymptotic analysis is performed on these phase field equation in terms of the interface thickness in order to obtain the interfacial dirkbraeckmanvenice2017.com by: Jun 02, · The α-β interfacial energy is assumed to be cubic anisotropic; specifically, either () or () interfaces are preferred.

The diffusivity is maintained a constant in our model; this constant diffusivity is achieved through a combination of Cahn–Hilliard and Allen–Cahn equations (with appropriate choice of model free energy parameters).Cited by: 3. To describe the homogeneous nucleation process, an interfacial free energy adjustable phase-field crystal model (IPFC) was proposed by reconstructing the energy functional of the original phase field crystal (PFC) methodology.

Compared with the original PFC model, the additional interface term in the IPFC mo Colloids. the interfacial energy. The ﬁrst term is the sum of the free energies of neglecting third and high–order terms), this gives In an ideal scenario, a phase field model is able to compute quantitative aspects of the evolution of microstructure without explicit intervention.

The method is particularly appealing because it.Simulations of Anisotropic Texture Evolution on Paramagnetic and Diamagnetic Materials Subject to a Magnetic Field Using Q-State Monte Carlo Effect of Interfacial Energy on Kinetics of Grain Growth,” Mater.

Trans., 44 (11), pp. – Krill III A Phase-Field Model for Evolving Microstructures With Strong Elastic Author: Jeffrey B. Allen, Jeffrey B.

Allen.Dec 01, · Phase field models are widely used for the study of microstructures and their evolution. They can also be used as computer experiments. As computer experiments, they serve two important roles: (a) theoretical results which are hard to verify/validate experimentally can be verified/validated on the computer using phase field models; and, (b) when severe assumptions are made in a theory, they Cited by: 2.