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Naturally-occurring granular materials often consist of angular particles whose shape and frictional characteristics may have important implications on macroscopic flow rheology. In this paper, we provide a theoretical account for the…

Statistical Mechanics · Physics 2015-06-02 Charles K. C. Lieou , Ahmed E. Elbanna , J. S. Langer , J. M. Carlson

In this paper, the influence of aggregate size and volume fraction on shrinkage induced micro-cracking and permeability of concrete and mortar was investigated. Nonlinear finite element analyses of model concrete and mortar specimens were…

Materials Science · Physics 2009-05-29 Peter Grassl , Hong S. Wong , Nick R. Buenfeld

The three-dimensional microstructure of Ni, observed after five annealing intervals, was compared to simulations of grain growth using the threshold dynamics method with the assumption of capillarity as the only driving force. A…

In his calculation of the spacetime volume of a small Alexandrov interval in 4 dimensions Myrheim introduced a term which he referred to as a surface integral [1]. The evaluation of this term has remained opaque and led subsequent authors…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Surbhi Khetrapal , Sumati Surya

Grain boundaries can dissociate into facets if that reduces their excess energy. This, however, introduces line defects at the facet junctions, which present a driving force to grow the facets in order to reduce the total number of…

Materials Science · Physics 2024-07-08 Tobias Brink , Lena Langenohl , Swetha Pemma , Christian H. Liebscher , Gerhard Dehm

Grain boundary roughness can affect electronic and mechanical properties of two-dimensional materials. This roughness depends crucially on the growth process by which the two-dimensional material is formed. To investigate the key mechanisms…

Materials Science · Physics 2022-04-06 Fabio D. A. Aarão Reis , Bastien Marguet , Olivier Pierre-Louis

In this study, we address damage initiation and micro-crack formation in ductile failure of polycrystalline metals. We show how our recently published thermodynamic framework for ductile phase-field fracture of single crystals can be…

Numerical Analysis · Mathematics 2024-11-01 Kim Louisa Auth , Jim Brouzoulis , Magnus Ekh

The crystal plasticity finite element method (CPFEM) is used to investigate the coupling between the cylindrical void growth or collapse and grain refinement in face-centered cubic (FCC) single crystals. A 2D plane strain model with one…

Materials Science · Physics 2023-07-06 Saketh Virupakshi , Katarzyna Kowalczyk-Gajewska

X-ray nanodiffraction is applied to study the formation and correlation of domain boundaries in mesocrystalline superlattices of PbS nanocrystals with face-centered cubic structure. Each domain of the superlattice can be described with one…

We study the crystallization of a colloidal model system in presence of secondary nanoparticles acting as impurities. Using confocal microscopy, we show that the nanoparticles segregate in the grain boundaries of the colloidal polycrystal.…

Soft Condensed Matter · Physics 2012-05-25 Neda Ghofraniha , Elisa Tamborini , Julian Oberdisse , Luca Cipelletti , Laurence Ramos

We study the motion of a grain boundary separating two otherwise stationary domains of hexagonal symmetry. Starting from an order parameter equation appropriate for hexagonal patterns, a multiple scale analysis leads to an analytical…

Soft Condensed Matter · Physics 2009-11-07 Denis Boyer , Jorge Vinals

A body $\Theta$ containing two phases, which may form a periodic composite with microstructure much smaller that the body, or which may have structure on a length scale comparable to the body, is subjected to slowly time varying boundary…

Mathematical Physics · Physics 2023-04-26 Ornella Mattei , Graeme W. Milton , Mihai Putinar

We report an experimental study on the transition between a disordered liquid-like state and a ordered solid-like one, in a collection of magnetically interacting macroscopic grains. A monolayer of magnetized particles is vibrated…

Statistical Mechanics · Physics 2015-06-05 Loreto Oyarte , Pablo Gutiérrez , Sébastien Aumaître , Nicolás Mujica

We report new ground-state structures and phase transitions in $\Sigma$5[001] tilt grain boundaries (GBs) in body-centered cubic (BCC) refractory metals Nb, Ta, Mo, and W. $\Sigma$5 tilt GBs have been extensively investigated over the past…

Materials Science · Physics 2025-08-19 Enze Chen , Timofey Frolov

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…

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

Anisotropic core-shell model of a nano-grained polycrystal is extended to estimate the effective elastic stiffness of several metals of hexagonal crystal lattice symmetry. In the approach the bulk nanocrystalline material is described as a…

Computational Physics · Physics 2020-09-22 Katarzyna Kowalczyk-Gajewska , Marcin Maździarz

In established theories of grain coarsening, grains disappear either by shrinking or by rotating as a rigid object to coalesce with an adjacent grain. Here we report a third mechanism for grain coarsening, in which a grain splits apart into…

We develop an explicit and tractable representation of a twist-grain-boundary phase of a smectic A liquid crystal. This allows us to calculate the interaction energy between grain boundaries and the relative contributions from the bending…

Soft Condensed Matter · Physics 2007-05-23 Christian D. Santangelo , Randall D. Kamien

Grain boundaries often exhibit ordered atomic structures. Increasing amounts of evidence have been provided by transmission electron microscopy and atomistic computer simulations that different stable and metastable grain boundary…

Materials Science · Physics 2023-02-14 Tobias Brink , Lena Langenohl , Hanna Bishara , Gerhard Dehm