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Dislocation nucleation in homogeneous crystals initially unfolds as a linear symmetry-breaking elastic instability. In the absence of explicit nucleation centers, such instability develops simultaneously all over the crystal and due to the…

Materials Science · Physics 2023-02-24 R. Baggio , O. U. Salman , L. Truskinovsky

Phase-Field Crystal (PFC) models are able to resolve atomic length scale features of materials during temporal evolution over diffusive time scales. Traditional PFC models contain solid and liquid phases, however many important materials…

Materials Science · Physics 2015-06-16 Edwin J. Schwalbach , James A. Warren , Kuo-An Wu , Peter W. Voorhees

In this work the influence of $5|7$ dislocations in multiplayer graphene stacks (up to six layers) is examined. The study is conducted through a recently developed Phase Field Crystal (PFC) model for multilayer systems incorporating…

Materials Science · Physics 2024-10-04 K. R. Elder , Zhi-Feng Huang , T. Ala-Nissila

We show that the flux line lattice in a model layered HTSC becomes unstable above a critical magnetic field with respect to a plastic deformation via penetration of pairs of point-like disclination defects. The instability is characterized…

Condensed Matter · Physics 2009-10-28 Seungoh Ryu , A. Kapitulnik , S. Doniach

Dislocations are the carriers of plasticity in crystalline materials. Their collective interaction behavior is dependent on the strain rate and sample size. In small specimens, details of the nucleation process are of particular importance.…

Materials Science · Physics 2020-11-05 Jianqiao Hu , Hengxu Song , Zhanli Liu , Zhuo Zhuang , Xiaoming Liu , Stefan Sandfeld

Metals with fcc structure may exhibit deformation twinning under specific conditions, which is an interesting but somewhat elusive aspect of their deformation behavior. It is well acknowledged that the phenomenon occurs through the…

Materials Science · Physics 2020-08-28 Sri Sadgun Reddy Pulagam , Amlan Dutta

Crystal lattice deformations can be described microscopically by explicitly accounting for the position of atoms or macroscopically by continuum elasticity. In this work, we report on the description of continuous elastic fields derived…

Materials Science · Physics 2019-04-25 Marco Salvalaglio , Axel Voigt , Ken R. Elder

We precisely and rigorously characterise the decay of elastic fields generated by dislocations in crystalline materials, focusing specifically on the role of multilattices. Concretely, we establish that the elastic field generated by a…

Analysis of PDEs · Mathematics 2022-05-19 Derek Olson , Christoph Ortner , Yangshuai Wang , Lei Zhang

We introduce a Phase Field Crystal (PFC) model for particles with n-fold rotational symmetry in two dimensions. Our approach is based on a free energy functional that depends on the reduced one-particle density, the strength of the…

Soft Condensed Matter · Physics 2023-02-02 Robert F. B. Weigel , Michael Schmiedeberg

The plasticity transition at the yield strength of a crystal typically signifies the tendency of dislocation defects towards relatively unrestricted motion. For an isolated dislocation the motion is in the slip plane with velocity…

Materials Science · Physics 2020-01-15 Péter Dusán Ispánovity , Stefanos Papanikolaou , István Groma

Validating dislocation patterning models against in situ imaging experiments is a longstanding goal in materials physics. Here, we provide the first direct morphological comparison of such models. Using in situ Dark-Field X-ray Microscopy…

In this work, phase diagrams of a modified two-mode phase-field crystal (PFC) that show two-dimensional (2D) and three-dimensional (3D) crystallographic structures were determined by utilizing a free energy minimization method. In this…

Materials Science · Physics 2017-06-06 Arezoo Emdadi , Mohsen Asle Zaeem , Ebrahim Asadi

We develop a finite element based dislocation dynamics model to simulate the structure and strength of dislocation junctions in FCC crystals. The model is based on anisotropic elasticity theory supplemented by the explicit inclusion of the…

Materials Science · Physics 2009-10-31 V. B. Shenoy , R. V. Kukta , R. Phillips

The Swift-Hohenberg (SH) and Phase-Field Crystal (PFC) models are minimal yet powerful approaches for studying phenomena such as pattern formation, collective order, and defects via smooth order parameters. They are based on a free-energy…

Materials Science · Physics 2024-06-05 Lucas Benoit--Maréchal , Marco Salvalaglio

In this study, we use discrete dislocation dynamics (DDD) simulation to investigate the effect of heterogeneous dislocation density on the transition between quasi-elastic deformation and plastic flow in face-centered cubic single crystals.…

Materials Science · Physics 2019-07-24 Xu Zhang , Jian Xiong , Haidong Fan , Michael Zaiser

Coarsening of precipitates in coherent systems is influenced by the elastic fields of the precipitates and the interfacial curvature. It is also known that if precipitates are connected by dislocations, coarsening is affected by the elastic…

Materials Science · Physics 2024-01-10 Arjun Varma R , Prita Pant , M P Gururajan

The nonequilibrium dynamics of diffusion-mediated plasticity and creep in materials subjected to constant load at high homologous temperatures is studied atomistically using Phase Field Crystal (PFC) methods. Creep stress and grain size…

Materials Science · Physics 2015-10-14 Joel Berry , Jörg Rottler , Chad W. Sinclair , Nikolas Provatas

Discrete models of dislocations in cubic crystal lattices having one or two atoms per unit cell are proposed. These models have the standard linear anisotropic elasticity as their continuum limit and their main ingredients are the elastic…

Materials Science · Physics 2009-11-13 L. L. Bonilla , A. Carpio , I. Plans

Dislocations in soft condensed matter systems such as lamellar systems of polymers, liquid crystals and ternary mixtures of oil, water and surfactant (amphiphilic systems) are described in the framework of continuum elastic theory. These…

Condensed Matter · Physics 2015-06-25 R. Holyst , P. Oswald

Crystal plasticity of sub-micron finite volumes is characterized by the flow of emergent dislocation defects, giving rise to size effects in mechanical properties and avalanche phenomena. In this chapter, we present a minimal model for…

Materials Science · Physics 2019-08-09 Stefanos Papanikolaou , Michail Tzimas
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