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Related papers: Phase-field modeling of microstructure evolution: …

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Understanding the microstuctural evolution during the sintering process is of high relevance as it is a key part in many industrial manufacturing processes. Simulations are one avenue to achieve this understanding, especially field-resolved…

Materials Science · Physics 2023-05-17 Marco Seiz , Henrik Hierl , Britta Nestler

This work overviews a new, recent success of phase-field modelling: its application to predicting the evolution of the corrosion front and the associated structural integrity challenges. Despite its important implications for society,…

Chemical Physics · Physics 2024-06-24 E. Martínez-Pañeda

We review how phase-field models contributed to the understanding of various aspects of crystal nucleation including homogeneous and heterogeneous processes, and their role in microstructure evolution. We recall results obtained both by the…

A phase-field formulation is introduced to simulate quantitatively microstructural pattern formation in alloys. The thin-interface limit of this formulation yields a much less stringent restriction on the choice of interface thickness than…

Materials Science · Physics 2016-08-31 Alain Karma

Phase field simulations play a key role in the understanding of microstructure evolution in additive manufacturing. However, they have been found extremely computationally expensive. One of the reasons is the small time step requirement to…

Computational Physics · Physics 2025-08-01 Chaoqian Yuan , Chinnapat Panwisawas , Ye Lu

We present a new phase-field model of solidification which allows efficient computations in the regime when interface kinetic effects dominate over capillary effects. The asymptotic analysis required to relate the parameters in the…

Condensed Matter · Physics 2007-05-23 Kalin Vetsigian , Nigel Goldenfeld

Three different topics in phase-field modelling of solidification are discussed, with particular emphasis on the limitations of the currently available modelling approaches. First, thin-interface limits of two-sided phase-field models are…

Materials Science · Physics 2015-05-18 Mathis Plapp

The phase-field method has become in recent years the method of choice for simulating microstructural pattern formation during solidification. One of its main advantages is that time-dependent three-dimensional simulations become feasible.…

Materials Science · Physics 2007-05-23 M. Dejmek , R. Folch , A. Parisi , M. Plapp

A multiscale scheme combining molecular dynamics (MD) and microscopic phase-field theory is proposed to study the structural phase transformations in solids with inhomogeneous strain field. The approach calculates strain response based on…

Materials Science · Physics 2007-05-23 Zhi-Rong Liu , Huajian Gao

A phase-field crystal model based on the density-field approach incorporating high-order interparticle direct correlations is developed to study vapor-liquid-solid coexistence and transitions within a single continuum description.…

Materials Science · Physics 2020-10-21 Zi-Le Wang , Zhirong Liu , Zhi-Feng Huang , Wenhui Duan

Sintering is an important processing step in both ceramics and metals processing. The microstructure resulting from this process determines many materials properties of interest. Hence the accurate prediction of the microstructure,…

Materials Science · Physics 2024-03-06 Marco Seiz , Henrik Hierl , Britta Nestler , Wolfgang Rheinheimer

In the manufacturing process of high-performance particulate materials, viscous sintering plays a crucial role, particularly in fields such as polymer processing and additive manufacturing. The interactions between microscopic particles,…

Computational Engineering, Finance, and Science · Computer Science 2024-12-06 Xiaoxu Dai , Bo Qian , Arkadz Kirshtein , Qingcheng Yang

The phase-field method is reviewed from the general perspective of converting a free boundary problem into a set of coupled partial differential equations. Its main advantage is that it avoids front tracking by using phase fields to locate…

We study the evolution of solidification microstructures using a phase-field model computed on an adaptive, finite element grid. We discuss the details of our algorithm and show that it greatly reduces the computational cost of solving the…

Materials Science · Physics 2009-10-31 Nikolas Provatas , Nigel Goldenfeld , Jonathan Dantzig

In this contribution we investigate the application of phase-field fracture models on non-linear multiscale computational homogenization schemes. In particular, we introduce different phase-fields on a two-scale problem and develop a…

Computational Engineering, Finance, and Science · Computer Science 2023-12-21 Felix Schmidt , Stefan Schuß , Christian Hesch

The phase-field method has become a useful tool for the simulation of classical metallurgical phase transformations as well as other phenomena related to materials science. The thermodynamic consistency that forms the basis of these…

A phase-field approach to the dynamics of liquid-solid interfaces that evolve due to precipitation and/or dissolution is presented. For the purpose of illustration and comparison with other methods, phase field simulations were carried out…

Computational Physics · Physics 2018-07-04 Zhijie Xu , Paul Meakin

A diffuse-interface model for microstructure with an arbitrary number of components and phases was developed from basic thermodynamic and kinetic principles and formalized within a variational framework. The model includes a composition…

Materials Science · Physics 2011-07-28 Daniel A. Cogswell , W. Craig Carter

Multiscale modelling is a new paradigm that has emerged in recent times to study the well-known problem of the process-structure-property relationship in the area of materials science and engineering. For obtaining the desired performance…

Materials Science · Physics 2023-10-10 Rupesh Chafle , Vishal Panwar , Kaushik Das , Somnath Bhowmick , Rajdip Mukherjee

The quantitative phase-field approach has been adapted to model solidification in the presence of Metal Matrix Nanocomposites (MMNCs) in a single-component liquid. Nanoparticles of fixed size and shape are represented by additional fields.…

Materials Science · Physics 2014-06-11 Tamás Pusztai , László Rátkai , Attila Szállás , László Gránásy
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