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Related papers: Geometry of polycrystals and microstructure

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It is often observed that martensitic microstructures in adjacent polycrystal grains are related. For example, micrographs of Arlt exhibit propagation of layered structures across grain boundaries in the cubic-to-tetragonal phase…

Materials Science · Physics 2017-08-11 John M. Ball , Carsten Carstensen

Intergranular fracture in polycrystals is often simulated by finite elements coupled to a cohesive-zone model for the interfaces, requiring cohesive laws for grain boundaries as a function of their geometry. We discuss three challenges in…

Many physical systems can be modeled as large sets of domains "glued" together along boundaries - biological cells meet along cell membranes, soap bubbles meet along thin films, countries meet along geopolitical boundaries, and metallic…

Materials Science · Physics 2015-12-30 Jeremy K. Mason , Emanuel A. Lazar , Robert D. MacPherson , David J. Srolovitz

We investigate the formation of polycrystalline structures in a class of particle systems. The atomistic energy is modeled as a sum of particle energies that favor atoms being locally isometric to a reference lattice. The discrete frame…

Mesoscale and Nanoscale Physics · Physics 2026-04-22 Leonard Kreutz , Timo Ziereis

We design, fabricate and test heterogeneous architected polycrystals, composed of hard plastomers and soft elastomers, which thus show outstanding mechanical resilience and energy dissipation simultaneously. Grain boundaries that separate…

Soft Condensed Matter · Physics 2025-04-15 Seunghwan Lee , Hansohl Cho

Many materials such as martensitic or ferromagnetic crystals are observed to be in metastable states exhibiting a fine-scale, structured spatial oscillation called microstructure; and hysteresis is observed as the temperature, boundary…

Numerical Analysis · Mathematics 2025-10-20 Mitchell Luskin

We have developed a simple model for the study of a cubic to tetragonal martensitic transition, under athermal conditions, in systems with a certain amount of disorder. We have performed numerical simulations that allow for a statistical…

Statistical Mechanics · Physics 2015-05-13 B. Cerruti , E. Vives

Grain growth fundamentally shapes the microstructure of crystalline materials upon annealing, affecting their overall mechanical and functional properties. Recently, it has been rationalized that grain growth in polycrystals does not result…

Many physical systems are composed of polyhedral cells of varying sizes and shapes. These structures are simple in the sense that no more than three faces meet at an edge and no more than four edges meet at a vertex. This means that…

Materials Science · Physics 2022-01-13 Frank H. Lutz , Jeremy K. Mason , Emanuel A. Lazar , Robert D. MacPherson

Grain boundaries (GBs) and interfaces in polycrystalline materials are significant research subjects in the field of materials science. Despite a more than 50-year history of their study, there are still many open questions. The main…

Materials Science · Physics 2021-06-28 Arslan B. Mazitov , Artem R. Oganov

By using theoretical analysis and molecular dynamics simulations, we investigate the structure of colloidal crystals formed by nonmagnetic microparticles (or magnetic holes) suspended in ferrofluids (called inverse ferrofluids), by taking…

Soft Condensed Matter · Physics 2008-03-25 Y. C. Jian , Y. Gao , J. P. Huang , R. Tao

Most technologically useful materials spanning multiple length scales are polycrystalline. Polycrystalline microstructures are composed of a myriad of small crystals or grains with different lattice orientations which are separated by…

Analysis of PDEs · Mathematics 2026-05-13 Batuhan Bayir , Yekaterina Epshteyn , William M Feldman

Quasicrystals exhibit long-range order but lack translational symmetry. When grown as single crystals, they possess distinctive and unusual properties owing to the absence of grain boundaries. Unfortunately, conventional methods such as…

We use the phase-field method to study the martensitic transformation at the nanoscale. For nanosystems such as nanowires and nanograins embedded in a stiff matrix, the geometric constraints and boundary conditions have an impact on…

Materials Science · Physics 2008-07-23 Mathieu Bouville , Rajeev Ahluwalia

Grain-boundary grooving is a general phenomenon occurring in all polycrystalline materials at the intersection between the grain-boundary and the interface or free surface. It has been studied theoretically for some time. Grain-boundary…

Materials Science · Physics 2007-05-23 Mathieu Bouville

We study a model of interacting particles in two dimensions to address the relation between crystal-crystal transformations and pressure-induced amorphization. On increasing pressure at very low temperature, our model undergoes a…

Materials Science · Physics 2009-11-11 S. Bustingorry , E. A. Jagla

Given recipe of qualitative, kinetic modelling by geometric methods of three-dimensional dendritic crystals. Characteristic features of the perturbations appearing on the surface of a spherical body, leading to different scenarios of the…

Materials Science · Physics 2018-10-05 Alexander S. Prokhoda

We find that laser-induced local melting attracts and deforms grain boundaries in 2D colloidal crystals. When a melted region in contact with the edge of a crystal grain recrystallizes, it deforms the grain boundary --- this attraction is…

In textural equilibrium, partially molten materials minimise the total surface energy bound up in grain boundaries and grain-melt interfaces. Here, numerical calculations of such textural equilibrium geometries are presented for a…

Soft Condensed Matter · Physics 2018-04-12 John F. Rudge

Microstructure and crystallography of {\delta} phase hydrides in as-received fine grain and 'blocky' alpha large grain Zircaloy-4 (average grain size ~11 {\mu}m and >200 {\mu}m, respectively) were examined using electron backscatter…

Materials Science · Physics 2019-09-04 Siyang Wang , Finn Giuliani , T. Ben Britton
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