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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

The three-dimensional (3D) microstructures of polycrystalline materials exert a critical influence on their mechanical and physical properties. Realistic, controllable construction of these microstructures is a key step toward elucidating…

Computer Vision and Pattern Recognition · Computer Science 2026-03-13 Chi Chen , Tianle Jiang , Xiaodong Wei , Yanming Wang

In this paper, we develop a mean-field model for simulating the microstructure evolution of crystalline materials during static recrystallization. The model considers a population of individual cells (i.e. grains and subgrains) growing in a…

Materials Science · Physics 2020-05-18 Arthur Després , Michael Greenwood , Chad Sinclair

We study kinetic theories for isotropic, two-dimensional grain boundary networks which evolve by curvature flow. The number densities $f_s(x,t)$ for $s$-sided grains, $s =1,2,\ldots$, of area $x$ at time $t$, are modeled by kinetic…

Analysis of PDEs · Mathematics 2021-03-23 Joe Klobusicky , Govind Menon , Robert L. Pego

Grain growth simulation is crucial for predicting metallic material microstructure evolution during annealing and resulting final mechanical properties, but traditional partial differential equation-based methods are computationally…

Materials Science · Physics 2025-05-09 Pungponhavoan Tep , Marc Bernacki

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

Recent observations indicate that mm/cm-sized grains may exist in the embedded protostellar disks. How such large grains grow from the micron size (or less) in the earliest phase of star formation remains relatively unexplored. In this…

Earth and Planetary Astrophysics · Physics 2022-07-29 Yisheng Tu , Zhi-Yun Li , Ka Ho Lam

Grain growth (GG), driven by grain boundary (GB) migration, is a fundamental mechanism of microstructural evolution in polycrystalline materials. GB migration is frequently accompanied by a relative shear displacement of grains meeting at…

Materials Science · Physics 2026-03-13 Caihao Qiu , David J. Srolovitz , Gregory S. Rohrer , Jian Han , Marco Salvalaglio

Knowledge about grain boundary migration is a prerequisite for understanding and ultimately modulating the properties of polycrystalline materials. Evidence from experiments and molecular dynamics (MD) simulations suggests that the…

Materials Science · Physics 2021-12-08 Mahi Gokuli , Brandon Runnels

We developed a grain growth model that is based on the energy minimisation of surfaces with respect to the volume energy and the grain's environment. We used the well-known FePt L1$_\text{0}$ system to discover the physical factors that…

Materials Science · Physics 2022-09-14 Connor Skelland , Gino Hrkac

The rate of curvature-driven grain growth in polycrystalline materials is well-known to be limited by interface dissipation. We show analytically and by simulations that, for systems forming modulated phases or non-equilibrium patterns with…

Materials Science · Physics 2015-06-15 Ari Adland , Yechuan Xu , Alain Karma

Deformation microstructure heterogeneities play a pivotal role during dislocation patterning and interface network restructuring. Thus, they affect indirectly how an alloy recrystallizes if at all. Given this relevance, it has become common…

Computational Engineering, Finance, and Science · Computer Science 2020-06-24 Markus Kühbach , Franz Roters

Step pattern stability of the vicinal surfaces during growth was analyzed using various surface kinetic models. It was shown that standard analysis of the vicinal surfaces provides no indication on the possible step coalescence and…

Most of the commercially important alloys are multicomponent, producing multiphase microstructures as a result of processing. When the coexisting phases are elastically coherent, the elastic interactions between these phases play a major…

Materials Science · Physics 2019-04-17 Sandeep Sugathan , Saswata Bhattacharya

The formation and dynamics of a wide variety of binary two-dimensional ordered structures and superlattices are investigated through a phase field crystal model with sublattice ordering. Various types of binary ordered phases, the phase…

Soft Condensed Matter · Physics 2019-09-25 Doaa Taha , S. R. Dlamini , S. K. Mkhonta , K. R. Elder , Zhi-Feng Huang

We describe numerical solutions of two non potential models of pattern formation in nonequilibrium systems to address the motion and decay of grain boundaries separating domains of stripe configurations of different orientations. We first…

Soft Condensed Matter · Physics 2009-11-11 Zhi-Feng Huang , Jorge Vinals

We present an experimental study of the compaction dynamics for two-dimensional anisotropic granular systems. Compaction dynamics is measured at three different scales : (i) the macroscopic scale through the packing fraction $\rho$, (ii)…

Disordered Systems and Neural Networks · Physics 2009-11-11 G. Lumay , N. Vandewalle

A simple numerical model which calculates the kinetics of crystallization involving randomly distributed nucleation and isotropic growth is presented. The model can be applied to different thermal histories and no restrictions are imposed…

Materials Science · Physics 2008-11-17 J. Farjas , P. Roura

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

The approach of nonequilibrium evolution thermodynamics earlier offered is developed. It helps to describe the processes of defect formation within the adiabatic approximation. The basic equations system depends on the initial defects…

Materials Science · Physics 2015-10-23 A. V. Khomenko , D. S. Troshchenko , L. S. Metlov