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Related papers: Statistical analysis of Discrete Dislocation Dynam…

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Discrete dislocation dynamics (DDD) is a widely employed computational method to study plasticity at the mesoscale that connects the motion of dislocation lines to the macroscopic response of crystalline materials. However, the…

Materials Science · Physics 2023-05-24 Nicolas Bertin , Fei Zhou

We propose a numerical model to study the viscoplastic deformation of ice single crystals. We consider long-range elastic interactions among dislocations, the possibility of mutual annihilation, and a multiplication mechanism representing…

Statistical Mechanics · Physics 2007-05-23 M. -Carmen Miguel , Alessandro Vespignani , Stefano Zapperi , Jerome Weiss , Jean-Robert Grasso

A phenomenological model of the evolution of an ensemble of interacting dislocations in an isotropic elastic medium is formulated. The line-defect microstructure is described in terms of a spatially coarse-grained order parameter, the…

mtrl-th · Physics 2009-10-30 J. M. Rickman , Jorge Vinals

We provide a minimal continuum model for mesoscale plasticity, explaining the cellular dislocation structures observed in deformed crystals. Our dislocation density tensor evolves from random, smooth initial conditions to form self-similar…

Materials Science · Physics 2010-09-03 Yong S. Chen , Woosong Choi , Stefanos Papanikolaou , James P. Sethna

Data-driven machine-learning for predicting instantaneous and future fault-slip in laboratory experiments has recently progressed markedly due to large training data sets. In Earth however, earthquake interevent times range from 10's-100's…

Geophysics · Physics 2022-01-19 Kun Wang , Christopher W. Johnson , Kane C. Bennett , Paul A. Johnson

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

Crystallographic slip system identification methods are widely employed to characterize the fine scale deformation of metals. While powerful, they usually rely on the occurrence of discrete slip bands with clear slip traces and can struggle…

Materials Science · Physics 2022-11-14 Tijmen Vermeij , Ron Peerlings , Marc Geers , Johan Hoefnagels

In this paper we study the connection between four models describing dislocation dynamics: a generalized 2D Frenkel-Kontorova model at the atomic level, the Peierls-Nabarro model, the discrete dislocation dynamics and a macroscopic model…

Analysis of PDEs · Mathematics 2015-05-13 A. El Hajj , H. Ibrahim , R. Monneau

We use numerical simulations to study the behavior of 2D frictionless disk systems under cyclic shear as a function of reversal amplitude \gamma_r. Our studies focus on mean bulk and disk dynamics. These measurements suggest a crossover…

Soft Condensed Matter · Physics 2014-06-11 Mitch Mailman , Michelle Girvan , Wolfgang Losert

Crystalline materials deform in an intermittent way via dislocation-slip avalanches. Below a critical stress, the dislocations are jammed within their glide plane due to long-range elastic interactions and the material exhibits plastic…

Soft Condensed Matter · Physics 2015-05-20 Georgios Tsekenis , Nigel Goldenfeld , Karin A. Dahmen

Micron-scale single crystalline materials deform plastically via large intermittent strain bursts that make the deformation process unpredictable. Here we investigate this stochastic phenomenon by analysing the plastic response of an…

In this paper a geometric field theory of dislocation dynamics and finite plasticity in single crystals is formulated. Starting from the multiplicative decomposition of the deformation gradient into elastic and plastic parts, we use…

Materials Science · Physics 2023-08-02 Fabio Sozio , Arash Yavari

Discrete simulation methods are efficient tools to investigate the complex behaviors of complex fluids made of either dry granular materials or dilute suspensions. By contrast, materials made of soft and/or concentrated units (emulsions,…

Fluid Dynamics · Physics 2008-12-18 Pierre Rognon , Cyprien Gay

The critical resolved shear stress of an Al 4 wt. \% Cu alloy containing a homogeneous distribution of $\theta''$ precipitates was determined by means of dislocation dynamics simulations. The size distribution, shape, orientation and volume…

Materials Science · Physics 2021-04-07 R. Santos-Güemes , L. Capolungo , J. Segurado , J. LLorca

We present computer simulations of a realistic model of microgels. Unlike the regular network frameworks usually assumed in the simulation literature, we model and simulate a realistic and efficient synthesis route, mimicking cross-linking…

Soft Condensed Matter · Physics 2018-06-12 Angel J. Moreno , Federica Lo Verso

Multiscale models of materials, consisting of upscaling discrete simulations to continuum models, are unique in their capability to simulate complex materials behavior. The fundamental limitation in multiscale models is the presence of…

Computational Engineering, Finance, and Science · Computer Science 2020-12-22 Jingye Tan , Umberto Villa , Nima Shamsaei , Shuai Shao , Hussein M. Zbib , Danial Faghihi

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

We demonstrate, through 3-dimensional discrete dislocation dynamics simulations, that the com- plex dynamical response of nano and micro crystals to external constraints can be tuned. Under load rate control, strain bursts are shown to…

Materials Science · Physics 2016-11-03 Yinan Cui , Giacomo Po , Nasr Ghoniem

The gradient flow structure of the model introduced in [CG99] for the dynamics of screw dislocations is investigated by means of a generalised minimising-movements scheme approach. The assumption of a finite number of available glide…

Dynamical Systems · Mathematics 2016-03-01 Giovanni A. Bonaschi , Patrick van Meurs , Marco Morandotti

During the plastic deformation of crystalline materials, 3d dislocation networks form based on dislocation junctions. Particularly, immobile Lomer junctions are essential for the stability of dislocation networks. However, the formed Lomer…

Materials Science · Physics 2022-12-09 Balduin Katzer , Kolja Zoller , Julia Bermuth , Daniel Weygand , Katrin Schulz
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