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We apply the phase field crystal model to study the structure and energy of symmetric tilt grain boundaries of bcc iron in 3D. The parameters for the model are obtained by using a recently developed eight-order fitting scheme [A. Jaatinen…

Materials Science · Physics 2010-06-29 A. Jaatinen , C. V. Achim , K. R. Elder , T. Ala-Nissila

The phase field crystal model allows the study of materials on atomic length and diffusive time scales. It accounts for elastic and plastic deformation in crystal lattices, including several processes such as growth, dislocation dynamics,…

Materials Science · Physics 2023-07-07 Marcello De Donno , Marco Salvalaglio

By using a phase-field crystal (PFC) model, the liquid-crystal growth of the plastic triangular phase is simulated with emphasis on crystal shape and topological defect formation. The equilibrium shape of a plastic triangular crystal (PTC)…

Soft Condensed Matter · Physics 2017-08-07 Sai Tang , Simon Praetorius , Rainer Backofen , Axel Voigt , Yan-Mei Yu , Jincheng Wang

A computational method is developed for the study of mechanical response and fracture behavior of phase field crystals (PFC), to overcome a limitation of the PFC dynamics which lacks an effective mechanism for describing fast mechanical…

Materials Science · Physics 2019-01-04 Wenquan Zhou , Jincheng Wang , Zhijun Wang , Zhi-Feng Huang

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

Slip-spring models are valuable tools for simulating entangled polymers, bridging the gap between bead-spring models with excluded volume and network models with presumed reptation motion. This study focuses on the DPD-SS (Dissipative…

We discuss the results of a study of restricted solid-on-solid models for fcc (110) surfaces. These models are simple modifications of the exactly solvable BCSOS model, and are able to describe a $(2\times 1)$ missing-row reconstructed…

Condensed Matter · Physics 2009-10-28 G. Santoro , M. Vendruscolo , S. Prestipino , E. Tosatti

We develop a continuum model for the dynamics of grain boundaries in three dimensions that incorporates the motion and reaction of the constituent dislocations. The continuum model is based on a simple representation of densities of curved…

Materials Science · Physics 2021-11-08 Xiaoxue Qin , Luchan Zhang , Yang Xiang

Continuum dislocation dynamics (CDD) has become the state-of-the-art theoretical approach for mesoscale dislocation plasticity of metals. Within this approach, there are multiple CDD theories that can all be derived from the principles of…

Materials Science · Physics 2026-04-13 Joseph Pierre Anderson , Anter El-Azab

An exactly solvable phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals is developed. The theory accounts for: an arbitrary number and arrangement of dislocation lines over a slip plane;…

Materials Science · Physics 2009-11-07 M. Koslowski , A. M. Cuitiño , M. Ortiz

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

A detailed understanding of the material response to rapid compression is challenging and demanding. For instance, the element gold under dynamic compression exhibits complex phase transformations where there exist some large discrepancies…

Materials Science · Physics 2021-07-20 Bo Chen , Qiyu Zeng , Han Wang , Shen Zhang , Dongdong Kang , Denghui Lu , Jiayu Dai

We propose a phase-field model of shear fractures using the deviatoric stress decomposition (DSD). This choice allows us to use general three-dimensional Mohr-Coulomb's (MC) failure function for formulating the relations and evaluating peak…

Computational Engineering, Finance, and Science · Computer Science 2023-03-14 Ehsan Haghighat , David Santillán

Describing the deviation of a real structure from a hypothetical higher-symmetry ideal can be a powerful tool to understand and interpret phase transitions. Here we introduce a simple yet effective metric that quantifies the degree of unit…

Materials Science · Physics 2025-08-05 Shannon Bernier , Gregory Bassen , Matthew Brem , Davor Tolj , Quentin Simmons , Tyrel M. McQueen

In this paper we have investigated, through computer simulations, dislocation nucleation and dislocation dynamics in a heterostructure system with the lattice-mismatch interface, i.e. a system with internal strain. In particular, we have…

Materials Science · Physics 2018-04-20 Marco Patriarca , Antti Kuronen , Kimmo Kaski

We simulate structure in the vicinity of different size nanovoids using a new variant of the Molecular Statics, wherein atomic structure in the vicinity of nanovoids and the parameters that define the displacements of atoms placed in…

Materials Science · Physics 2022-02-02 A. V. Nazarov , A. P. Melnikov , A. A. Mikheev , I. V. Ershova

We compute 10 radiative three-body decays of charged charmed mesons $D^+ \to P^+ P^0 \gamma$ and $D_s \to P^+ P^0 \gamma$, $P=\pi, K$, in leading order QCDF, HH$\chi$PT and the soft photon approximation. We work out decay distributions and…

High Energy Physics - Phenomenology · Physics 2021-07-14 Nico Adolph , Gudrun Hiller

The inherent inconsistency in identifying the phase field in the phase field crystal Theory with the material mass and, simultaneously, with material distortion is discussed. In its current implementation, elastic relaxation in the phase…

Materials Science · Physics 2025-02-25 Amit Acharya , Luiza Angheluta , Jorge Vinals

The phase field crystal (PFC) method has emerged as a promising technique for modeling materials with atomistic resolution on mesoscopic time scales. The approach is numerically much more efficient than classical density functional theory…

Materials Science · Physics 2015-05-18 Michael Greenwood , Nikolas Provatas , Jörg Rottler

In studies of the QCD deconfining phase transition or cross-over by means of heavy ion experiments, one ought to be concerned about non-equilibrium effects due to heating and cooling of the system. In this paper we extend our previous study…

High Energy Physics - Lattice · Physics 2009-11-10 Bernd A. Berg , Hildegard Meyer-Ortmanns , Alexander Velytsky