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Related papers: Geometry of polycrystals and microstructure

200 papers

Grain Boundaries (GB) whose energy is larger than twice the energy of the solid/liquid interface exhibit the premelting phenomenon, for which an atomically thin liquid layer develops at temperatures slightly below the bulk melting…

Computational Physics · Physics 2021-12-01 M. Torabi Rad , G. Boussinot , M. Apel

The microscopic structure of several amorphous substances often reveals complex patterns such as medium- or long-range order, spatial heterogeneity, and even local polycrystallinity. To capture all these features, models usually incorporate…

This article is devoted to the study of the asymptotic behavior of the zero-energy deformations set of a periodic nonlinear composite material. We approach the problem using two-scale Young measures. We apply our analysis to show that…

Analysis of PDEs · Mathematics 2007-05-23 Marco Barchiesi

We study scaling laws for singular perturbation problems associated with a class of two-dimensional martensitic phase transformations and deduce a domain dependence of the scaling law in the singular perturbation parameter. In these…

Analysis of PDEs · Mathematics 2024-05-10 Janusz Ginster , Angkana Rüland , Antonio Tribuzio , Barbara Zwicknagl

A phase field theory of polycrystalline solidification is presented that is able to describe the nucleation and growth of anisotropic particles with different crystallographic orientation in three dimensions. As opposed with the…

Materials Science · Physics 2009-11-11 T. Pusztai , G. Bortel , L. Granasy

The mechanical properties of crystalline materials can be substantially modified under confinement. Such modified macroscopic properties are usually governed by the altered microstructures and internal stress fields. Here, we use a parallel…

Soft Condensed Matter · Physics 2016-10-25 Neil Y. C. Lin , Itai Cohen

The grain boundary (GB) microstructure influences and is influenced by the development of residual stresses during synthesis of polycrystalline thin films. Recent studies have shown that the frustration between the preferred growth…

Materials Science · Physics 2022-12-14 Mengyuan Wang , Ruilin Yan , Xiao Han , Hailong Wang , Moneesh Upmanyu

Experimental results on the formation of molecular hydrogen on amorphous silicate surfaces are presented for the first time and analyzed using a rate equation model. The energy barriers for the relevant diffusion and desorption processes…

We probe the effects of particle shape on the global and local behavior of a two-dimensional granular pillar, acting as a proxy for a disordered solid, under uniaxial compression. This geometry allows for direct measurement of global…

Soft Condensed Matter · Physics 2018-01-12 Matt Harrington , Douglas J. Durian

Many technologically useful materials are polycrystals composed of a myriad of small monocrystalline grains separated by grain boundaries. Dynamics of grain boundaries play an essential role in defining the materials properties across…

Analysis of PDEs · Mathematics 2020-08-31 Yekaterina Epshteyn , Chun Liu , Masashi Mizuno

Context. Interstellar surface chemistry is a complex process that occurs in icy layers accumulated onto grains of different sizes. Efficiency of surface processes often depends on the immediate environment of adsorbed molecules. Aims. We…

Astrophysics of Galaxies · Physics 2024-07-31 Juris Kalvāns , Aija Kalniņa , Kristaps Veitners

Soft colloids are increasingly used as model systems to address fundamental issues such as crystallisation and the glass and jamming transitions. Among the available classes of soft colloids, microgels are emerging as the gold standard.…

We present here results of high resolution synchrotron x-ray diffraction (SXRD) and dielectric studies in conjunction with Landau theory considerations on (Pb0.94Sr0.06)(ZrxTi1-x)O3 compositions in the vicinity of the morphotropic phase…

MnMX (M = Co or Ni, X = Si or Ge) alloys, experiencing structural transformation between Ni2In-type hexagonal and TiNiSi-type orthorhombic phases, attract considerable attention due to their potential applications as room-temperature solid…

Materials Science · Physics 2021-08-03 Tingting Zhang , Yuanyuan Gong , Bin Wang , Dongyu Cen , Feng Xu

The macroscopic mechanical properties of densely packed coagulated colloidal particle gels strongly depend on the local arrangement of the powder particles on length scales of a few particle diameters. Heterogeneous microstructures exhibit…

Soft Condensed Matter · Physics 2009-11-09 Iwan Schenker , Frank T. Filser , Tomaso Aste , Ludwig J. Gauckler

Microgels are complex macromolecules. These colloid-sized polymer networks possess internal degrees of freedom and, depending on the polymer(s) they are made of, can acquire a responsiveness to variations of the environment (temperature,…

Soft Condensed Matter · Physics 2019-02-15 L. Rovigatti , N. Gnan , L. Tavagnacco , A. J. Moreno , E. Zaccarelli

Microstructural changes in solids, driven by energy flows, do not develop in a static continuous space, such as the space considered in conventional plasticity models. The applied forces create an evolving internal energy landscape, which…

Materials Science · Physics 2024-12-19 Elijah Borodin , Afonso D. M. Barroso , Andrey P. Jivkov

In the setting of continuum elasticity, phase transformations involving martensitic variants are modeled by a free energy density function that is non-convex in strain space. Here, we adopt an existing mathematical model in which we…

Numerical Analysis · Mathematics 2018-04-24 Koki Sagiyama , Shiva Rudraraju , Krishna Garikipati

Particle shape is a critical parameter that plays an important role in self-assembly, for example, in designing targeted complex structures with desired properties. In the last decades an unprecedented range of monodisperse nanoparticle…

Soft Condensed Matter · Physics 2015-01-13 Hanumantha Rao Vutukuri , Arnout Imhof , Alfons van Blaaderen

This article is concerned with the rigidity properties of geometric realizations of incidence geometries of rank two as points and lines in the Euclidean plane; we care about the distance being preserved among collinear points. We discuss…

Combinatorics · Mathematics 2022-04-28 Signe Lundqvist , Klara Stokes , Lars-Daniel Öhman