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In this paper we present a simple and effective numerical method which allows a fast Fourier transformation-based evaluation of stress generated by dislocations with arbitrary directions and Burgers vectors if the (site-dependent)…

Materials Science · Physics 2018-04-06 D. V. Berkov , N. L. Gorn

In this study, the effect of ferrite grain size on the mechanical properties and dislocation behavior of dual-phase (DP) steel is investigated using dislocation-based crystal plasticity finite element analysis. DP steel, composed of a soft…

Computational Engineering, Finance, and Science · Computer Science 2025-10-20 Misato Suzuki , Mayu Muramatsu , Kazuyuki Shizawa

We use the phase-field-crystal (PFC) method to investigate the equilibrium premelting and nonequilibrium shearing behaviors of $[001]$ symmetric tilt grain boundaries (GBs) at high homologous temperature over the complete range of…

Materials Science · Physics 2015-06-12 Ari Adland , Alain Karma , Robert Spatschek , Dorel Buta , Mark Asta

Amorphous solids such as coffee foam, toothpaste or mayonnaise display a transient creep flow when a stress $\Sigma$ is suddenly imposed. The associated strain rate is commonly found to decay in time as $\dot{\gamma} \sim t^{-\nu}$,…

Soft Condensed Matter · Physics 2022-11-23 Marko Popović , Tom W. J. de Geus , Wencheng Ji , Alberto Rosso , Matthieu Wyart

The influence of grain size on the flow stress of various FCC polycrystals (Cu, Al, Ag and Ni) has been analyzed by means of computational homogenization of a representative volume element of the microstructure using a FFT approach in…

Materials Science · Physics 2020-01-08 S. Haouala , S. Lucarini , J. LLorca , J. Segurado

We elaborate the recently introduced theory of flow stress, including yield strength, in polycrystalline materials under quasi-static plastic deformations, thereby extending the case of single-mode aggregates to multimodal ones in the…

Materials Science · Physics 2019-11-21 D. Cevizovic , A. A. Reshetnyak , Yu. P. Sharkeev

Yield stress materials fail when the imposed stress crosses a critical threshold. A well-known dynamical response to the applied stress is the phenomenon of creep where the cumulative deformation grows sublinearly with time, prior to…

Soft Condensed Matter · Physics 2023-03-09 Suman Dutta , Kirsten Martens , Pinaki Chaudhuri

We apply a simple dynamical density functional theory, the phase-field crystal (PFC) model of overdamped conservative dynamics, to address polymorphism, crystal nucleation, and crystal growth in the diffusion-controlled limit. We refine the…

Materials Science · Physics 2015-05-18 Gyula I. Tóth , György Tegze , Tamás Pusztai , László Gránásy

We consider the gradient flow evolution of a phase-field model for crystal dislocations in a single slip system in the presence of forest dislocations. The model consists of a Peierls-Nabarro type energy penalizing non-integer slip and…

Analysis of PDEs · Mathematics 2018-11-14 Patrick W. Dondl , Matthias W. Kurzke , Stephan Wojtowytsch

Three-dimensional discrete dislocation dynamics simulations are used to study strain-controlled plastic deformation of face-centered cubic aluminium single crystals. After describing the rate and size dependence of the average stress-strain…

Materials Science · Physics 2023-01-26 David Kurunczi-Papp , Lasse Laurson

Crystal plasticity occurs by deformation bursts due to the avalanche-like motion of dislocations. Here we perform extensive numerical simulations of a three-dimensional dislocation dynamics model under quasistatic stress-controlled loading.…

Statistical Mechanics · Physics 2016-08-24 Arttu Lehtinen , Giulio Costantini , Mikko J. Alava , Stefano Zapperi , Lasse Laurson

In small-scale metallic systems, collective dislocation activity has been correlated with size effects in strength and with a step-like plastic response under uniaxial compression and tension. Yielding and plastic flow in these samples is…

Materials Science · Physics 2019-07-18 Xiaoyue Ni , Stefanos Papanikolaou , Gabriele Vajente , Rana X Adhikari , Julia R. Greer

Most of crystalline materials develop an hysteresis on their deformation curve when a mechanical loading is applied in alternating directions. This effect, also known as the Bauschinger effect, is intimately related to the reversibile part…

Materials Science · Physics 2022-01-03 Sylvain Queyreau , Benoit Devincre

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

We simulate the glide motion of an assembly of interacting dislocations under the action of an external shear stress and show that the associated plastic creep relaxation follows Andrade's law. Our results indicate that Andrade creep in…

Statistical Mechanics · Physics 2007-05-23 M. -Carmen Miguel , Alessandro Vespignani , Michael Zaiser , Stefano Zapperi

This work addresses differences in predicted elastic fields created by dislocations either by the Phase Field Crystal (PFC) model, or by static Field Dislocation Mechanics (FDM). The PFC order parameter describes the topological content of…

Materials Science · Physics 2024-04-16 Manas Vijay Upadhyay , Jorge Viñals

Mechanical deformation of nanopillars displays features that are distinctly different from the bulk behavior of single crystals: Yield strength increases with decreasing size and plastic deformation comes together with strain bursts or/and…

Materials Science · Physics 2016-06-06 Stefanos Papanikolaou , Hengxu Song , Erik Van der Giessen

In this paper, we investigate plasticity in irradiated FeCrAl nanopillars using discrete dislocation dynamics simulations (DDD), with comparisons to transmission electron microscopic (TEM) in situ tensile tests of ion and neutron irradiated…

Materials Science · Physics 2023-01-06 Yash Pachaury , George Warren , Janelle P. Wharry , Giacomo Po , Anter El-Azab

The universality class of the avalanche behavior in plastically deforming crystalline and amorphous systems has been commonly discussed, despite the fact that the microscopic defect character in each of these systems is different. In…

Materials Science · Physics 2019-05-08 Hengxu Song , Dennis Dimiduk , Stefanos Papanikolaou

We present a mesoscale description of deformations and defects in thin, flexible sheets with crystalline order, tackling the interplay between in-plane elasticity, out-of-plane deformation, as well as dislocation nucleation and motion. Our…

Materials Science · Physics 2025-02-26 Lucas Benoit--Maréchal , Ingo Nitschke , Axel Voigt , Marco Salvalaglio