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Related papers: Phase Field Crystal Modeling as a Unified Atomisti…

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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

A physically-informed continuum crystal plasticity model is presented to elucidate the deformation mechanisms and dislocation evolution in body-centered-cubic (bcc) tantalum widely used as a key structural material for mechanical and…

Crystal dislocation dynamics, especially at high temperatures, represents a subject where experimental phenomenological input is commonly required, and parameter-free predictions, starting from quantum methods, have been beyond reach. This…

This paper presents a unified variational framework that integrates phase-field fracture (PFF) and third-medium contact (TMC) within finite deformation hyperelasticity. The key idea is that both crack and contact are treated through…

Computational Physics · Physics 2026-03-18 Jaemin Kim , Gukheon Kim , Sungmin Yoon , Dong-Hwa Lee

Understanding plastic deformation of crystals in terms of the fundamental physics of dislocations has remained a grand challenge in materials science for decades. To overcome this, the Discrete Dislocation Dynamics (DDD) method has been…

Materials Science · Physics 2024-04-03 Nicolas Bertin , Wei Cai , Sylvie Aubry , Athanasios Arsenlis , Vasily V. Bulatov

In the present work, we propose a novel model coupling phase-field, dislocation density based plasticity and damage. The dislocation density governing equations are constructed based on evolutions of mobile and immobile dislocations.…

Materials Science · Physics 2021-12-28 Ronghai Wu , Yufan Zhang

A novel analysis of homogeneous nucleation of dislocations in sheared two-dimensional crystals described by periodized discrete elasticity models is presented. When the crystal is sheared beyond a critical strain $F=F_{c}$, the strained…

Materials Science · Physics 2008-05-09 I. Plans , A. Carpio , L. L. Bonilla

Dislocations, line defects in crystalline materials, play an essential role in the mechanical[1,2], electrical[3], optical[4], thermal[5], and phase transition[6] properties of these materials. Dislocation motion, an important mechanism…

Materials Science · Physics 2023-07-04 Mingqiang Li , Yidi Shen , Kun Luo , Qi An , Peng Gao , Penghao Xiao , Yu Zou

This paper presents an extension of the discrete element method using a phase-field formulation to incorporate grain shape and its evolution. The introduction of a phase variable enables an effective representation of grain geometry and…

Materials Science · Physics 2024-04-09 Alexandre Sac-Morane , Manolis Veveakis , Hadrien Rattez

The phase-field crystal model is by now widely used in order to predict crystal nucleation and growth. For colloidal solidification with completely overdamped individual particle motion, we show that the phase-field crystal dynamics can be…

Soft Condensed Matter · Physics 2009-05-28 Sven van Teeffelen , Rainer Backofen , Axel Voigt , Hartmut Löwen

Plasticity modelling has long been based on phenomenological models based on ad-hoc assuption of constitutive relations, which are then fitted to limited data. Other work is based on the consideration of physical mechanisms which seek to…

Materials Science · Physics 2022-06-06 Stefan Hiemer , Haidong Fan , Michael Zaiser

A computational approach has been developed for the analysis of the properties of 3D dislocation substructures generated by the vector density continuum dislocation dynamics (CDD), within the framework of crystal plasticity. In the CDD…

Transition metal dichalcogenides exhibit a wide range of semiconducting, metallic, correlated, and topological electronic states that arise from strong coupling between lattice structure, dimensionality, and electronic degrees of freedom.…

Materials Science · Physics 2026-05-19 Anzar Ali , Md Ezaz Hasan Khan , Mahmoud Abdel-Hafiez

Crystalline materials exhibit an hysteresis behaviour when deformed cyclically. The origins of this tension-compression asymmetry have been fully understood only recently as being caused by an asymmetry in the junction strength and a…

Materials Science · Physics 2023-01-03 Sylvain Queyreau

The anisotropic phase-field crystal model recently proposed and used by Prieler et al. [J. Phys.: Condens. Matter 21, 464110 (2009)] is derived from microscopic density functional theory for anisotropic particles with fixed orientation.…

Materials Science · Physics 2015-05-27 Muhammad Ajmal Choudhary , Daming Li , Heike Emmerich , Hartmut Löwen

The efforts associated with parametrization of continuum-based models for crystal plasticity are a significant obstacle for the routine use of these models in materials science and engineering. While phenomenological constitutive…

Materials Science · Physics 2025-02-18 Nikhil Prabhu , Martin Diehl

Crystal defects play a large role in how materials respond to their surroundings, yet there are many uncertainties in how extended defects form, move, and interact deep beneath a material's surface. A newly developed imaging diagnostic,…

Data Analysis, Statistics and Probability · Physics 2020-08-13 Arnulfo Gonzalez , Marylesa Howard , Sean Breckling , Leora E. Dresselhaus-Marais

We present a new theoretical and numerical framework for modelling mechanically-assisted corrosion in elastic-plastic solids. Both pitting and stress corrosion cracking (SCC) can be captured, as well as the pit-to-crack transition.…

Applied Physics · Physics 2020-12-30 Chuanjie Cui , Rujin Ma , Emilio Martínez-Pañeda

Based on static and dynamical density functional theory, a phase-field-crystal model is derived which involves both the translational density and the orientational degree of ordering as well as a local director field. The model exhibits…

Soft Condensed Matter · Physics 2015-05-19 Hartmut Löwen

The Burton-Cabrera-Frank (BCF) model for the flow of line defects (steps) on crystal surfaces has offered useful insights into nanostructure evolution. This model has rested on phenomenological grounds. Our goal is to show via scaling…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Jianfeng Lu , Jian-Guo Liu , Dionisios Margetis
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