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A formula of grain growth rate, based on a nonlinear capillarity-driven relation, is derived to predict and interpret realistic growth processes in polycrystalline systems. The derived formula reveals how the growth and stagnation of grains…

Materials Science · Physics 2017-12-12 Jianfeng Hu , Xianhao Wang

Grain growth is a ubiquitous and fundamental phenomenon observed in the cellular structures with the grain assembly separated by a network of grain boundaries, including metals and ceramics. However, the underlying mechanism of grain growth…

Materials Science · Physics 2021-02-18 Jianfeng Hu , Xianhao Wang , Junzhan Zhang , Zhijian Shen , Jun Luo , Jian Luo

We review our recent modeling of crystal nucleation and polycrystalline growth using a phase field theory. First, we consider the applicability of phase field theory for describing crystal nucleation in a model hard sphere fluid. It is…

Soft Condensed Matter · Physics 2007-05-23 L. Granasy , T. Pusztai , T. Borzsonyi

The standard way of modeling plasticity in polycrystals is by using the crystal plasticity model for single crystals in each grain, and imposing suitable traction and slip boundary conditions across grain boundaries. In this fashion, the…

Computational Physics · Physics 2017-06-07 Nikhil Chandra Admal , Giacomo Po , Jaime Marian

The evolution of interfaces is intrinsic to many physical processes ranging from cavitation in fluids to recrystallization in solids. Computational modeling of interface motion entails a number of challenges, many of which are related to…

Materials Science · Physics 2022-07-26 Erdem Eren , Brandon Runnels , Jeremy Mason

The microstructure evolution due to thermomechanical treatment of metals can largely be described by viscoplastic deformation, nucleation and grain growth. These processes take place over different length and time scales which present…

Materials Science · Physics 2018-10-16 Anna Ask , Samuel Forest , Benoit Appolaire , Kais Ammar , Oguz Umut Salman

Grain structure plays a key role in the mechanical properties of alloy materials. Engineering the grain structure requires a comprehensive understanding of the evolution of grain boundaries (GBs) when a material is subjected to various…

Materials Science · Physics 2021-10-26 Junyan He , Nikhil Chandra Admal

We consider the grain growth and stagnation in polycrystalline microstructures. From the phase field crystal modelling of the coarsening dynamics, we identify a transition from a grain-growth stagnation upon deep quenching below the melting…

Materials Science · Physics 2013-09-20 Mathias Bjerre , Jens Magelund Tarp , Luiza Angheluta , Joachim Mathiesen

A variational lattice model is proposed to define an evolution of sets from a single point (nucleation) following a criterion of "maximization" of the perimeter. At a discrete level, the evolution has a "checkerboard" structure and its…

Analysis of PDEs · Mathematics 2021-10-27 Andrea Braides , Giovanni Scilla , Antonio Tribuzio

Molecular dynamics simulations were used to quantify mechanically-induced structural evolution in nanocrystalline Al with an average grain size of 5 nm. A polycrystalline sample was cyclically strained at different temperatures, while a…

Materials Science · Physics 2015-06-22 Jason F. Panzarino , Jesus J. Ramos , Timothy J. Rupert

Grain growth experiments on thin metallic films have shown the geometric and topological characteristics of the grain structure to be universal and independent of many experimental conditions. The universal size distribution, however, is…

Materials Science · Physics 2017-11-21 Rainer Backofen , Katayun Barmak , Ken Elder , Axel Voigt

Grain growth in polycrystals typically stagnates at long times. We identify disconnection climb, limited by vacancy diffusion, as a fundamental microscopic mechanism underlying this behavior. Using a phase-field crystal framework extended…

Materials Science · Physics 2026-01-21 Maik Punke , Abel H. G. Milor , Marco Salvalaglio

The material properties of polycrystals are strongly affected by the evolution and coarsening of their internal grain structures. Yet, studying this process is challenging due to the complex interactions within grain boundary networks.…

According to classical grain growth laws, grain growth is driven by the minimization of surface energy and will continue until a single grain prevails. These laws do not take into account the lattice anisotropy and the details of the…

Materials Science · Physics 2015-10-14 Jens M. Tarp , Joachim Mathiesen

Many technologically useful materials are polycrystals composed of a myriad of small monocrystalline grains separated by grain boundaries. Dynamics of grain boundaries play a crucial role in determining the grain structure and defining the…

Materials Science · Physics 2021-07-07 Katayun Barmak , Anastasia Dunca , Yekaterina Epshteyn , Chun Liu , Masashi Mizuno

By analytically solving some simple models of phase-ordering kinetics, we suggest a mechanism for the onset of non-equilibrium behaviour in colloid-polymer mixtures. These mixtures can function as models of atomic systems; their physics…

Soft Condensed Matter · Physics 2016-08-31 R. M. L. Evans , W. C. K. Poon

A qualitative behavior of grain size dependent resistance of polycrystalline films has been worked out by extending the earlier model (Volger's model) for polycrystalline films. Growth of grain size is considered to be accompanied with a…

Condensed Matter · Physics 2015-06-24 P. Arun , Pankaj Tyagi , A. G. Vedeshwar

The plastic flow of a polycrystal is analyzed assuming grains as fine that the rate limiting process is grain boundary sliding, and grains readily accommodate their shapes by slip to preserve spatial continuity. It is shown that thinking of…

Materials Science · Physics 2009-11-19 Miguel Lagos , César Retamal

We use confocal microscopy and time-resolved light scattering to investigate plasticity in a col- loidal polycrystal, following the evolution of the network of grain boundaries as the sample is submitted to thousands of shear deformation…

Soft Condensed Matter · Physics 2014-08-28 Elisa Tamborini , Luca Cipelletti , Laurence Ramos

We review theoretical and simulational approaches to the description of equilibrium bulk crystal and interface properties as well as to the nonequilibrium processes of homogeneous and heterogeneous crystal nucleation for the simple model…

Soft Condensed Matter · Physics 2014-02-03 Francesco Turci , Tanja Schilling , Mohammad Hossein Yamani , Martin Oettel
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