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We use the phase field crystal model to study nucleation of edge dislocations in two dimensions under an applied stress field. A dislocation dipole nucleates under the applied stress, consistent with Burgers vector conservation. The phase…

Materials Science · Physics 2021-01-20 Vidar Skogvoll , Audun Skaugen , Luiza Angheluta , Jorge Viñals

We discuss how simulations of mechanical properties of materials require descriptions at many different length scales --- from the nanoscale where an atomic description is appropriate, through a mesoscale where dislocation based…

Materials Science · Physics 2007-05-23 J. Schiøtz , T. Vegge , F. D. Di Tolla , K. W. Jacobsen

Grain Boundary (GB) deformation mechanisms such as Sliding (GBS) and Opening (GBO) are prevalent in alloys at high homologous temperatures but are hard to capture quantitatively. We propose an automated procedure to quantify 3D GB…

Materials Science · Physics 2025-07-24 C. J. A. Mornout , G. Slokker , T. Vermeij , D. König , J. P. M. Hoefnagels

Segregation of impurities to grain boundaries plays an important role in both the stability and macroscopic behavior of polycrystalline materials. The research objective in this work is to better characterize the energetics and length…

Materials Science · Physics 2013-09-02 N. R. Rhodes , M. A. Tschopp , K. N. Solanki

In this paper, we present a continuum model to compute the energy of low angle grain boundaries for any given degrees of freedom (arbitrary rotation axis, rotation angle and boundary plane orientation) based on a continuum dislocation…

Materials Science · Physics 2016-12-20 Luchan Zhang , Yejun Gu , Yang Xiang

Grain boundaries dramatically affect the properties of polycrystalline materials because of differences in atomic configuration. To fully understand the relationship between grain boundaries and materials properties, systematic studies of…

Materials Science · Physics 2021-01-19 Shin Kiyohara , Tomohiro Miyata , Teruyasu Mizoguchi

Grain boundaries (GBs) are structural imperfections that typically degrade the performance of materials. Here we show that dislocations and GBs in two-dimensional (2D) metal dichalcogenides MX2 (M = Mo, W; X = S, Se) can actually improve…

Materials Science · Physics 2013-08-21 Zhuhua Zhang , Xiaolong Zou , Vincent H. Crespi , Boris I. Yakobson

We demonstrate insights into the three-dimensional structure of defects in graphene, in particular grain boundaries, obtained via a new approach from two transmission electron microscopy images recorded at different angles. The structure is…

Thermodynamic dislocation theory incorporating dislocation impediment by the grain boundaries is developed to analyze the shear test of polycrystals. With a small set of physics based material parameters, we are able to simulate the…

Materials Science · Physics 2021-04-13 Yinguang Piao , Khanh Chau Le

Strain fields, dislocations and defects may be used to control electronic properties of graphene. By using advanced imaging techniques with high-resolution transmission electron microscopes, we have measured the strain and rotation fields…

Mesoscale and Nanoscale Physics · Physics 2015-10-20 L. L. Bonilla , A. Carpio , C. Gong , J. H. Warner

We report a computational discovery of novel grain boundary structures and multiple grain boundary phases in elemental bcc tungsten. While grain boundary structures created by the \gamma-surface method as a union of two perfect half…

Materials Science · Physics 2017-11-21 T. Frolov , W. Setyawan , R. J. Kurtz , J. Marian , A. R. Oganov , R. E. Rudd , Q. Zhu

We apply self consistent field theory to twist grain boundaries of block copolymer melts. The distribution of monomers throughout the grain boundary is obtained as well as the grain boundary free energy per unit area as a function of twist…

Soft Condensed Matter · Physics 2009-10-31 Daniel Duque , Michael Schick

Variational phase-field models of fracture are widely used to simulate nucleation and propagation of cracks in brittle materials. They are based on the approximation of the solutions of free-discontinuity fracture energy by two smooth…

Numerical Analysis · Mathematics 2023-02-14 Frederic Marazzato , Blaise Bourdin

Atomic diffusion affects the properties of various engineering materials, which predominantly occur in the polycrystalline state. A rigorous description of polycrystalline diffusion must therefore account for crystallographic defects,…

Materials Science · Physics 2025-10-21 Lena Scholz , Yongliang Ou , Blazej Grabowski , Felix Fritzen

We present an experimental system suitable for producing spherical crystals and for observing the distribution of lattice defects (disclinations and dislocations) on a significant fraction (50%) of the sphere. The introduction of…

Soft Condensed Matter · Physics 2007-05-23 Thomas Einert , Peter Lipowsky , Jorg Schilling , Mark J. Bowick , Andreas Bausch

We present calculations of diffusion coefficients in grain boundaries in Yukawa crystals for astrophysics. Our methods follow from our recent work calculating diffusion coefficients in perfect body-centered cubic crystals. These diffusion…

The intersection between dislocations and a Ag(111) surface has been studied using an interplay of scanning tunneling microscopy (STM) and molecular dynamics (MD). Whereas the STM provides atomically resolved information about the surface…

Determining the full five-parameter grain boundary characteristics from experiments is essential for understanding grain boundaries impact on material properties, improving related models, and designing advanced alloys. However, achieving…

We use the k-core decomposition to visualize large scale complex networks in two dimensions. This decomposition, based on a recursive pruning of the least connected vertices, allows to disentangle the hierarchical structure of networks by…

Networking and Internet Architecture · Computer Science 2016-08-16 José Ignacio Alvarez-Hamelin , Luca Dall'Asta , Alain Barrat , Alessandro Vespignani

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
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