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Plastic deformation of metals involves the complex evolution of dislocations forming strongly connected dislocation networks. These dislocation networks are based on dislocation reactions, which can form junctions during the interactions of…

Materials Science · Physics 2022-08-22 Balduin Katzer , Kolja Zoller , Daniel Weygand , Katrin Schulz

We report three-dimensional particle mechanics static calculations that predict the microstructure evolution during die-compaction of elastic spherical particles up to relative densities close to one. We employ a nonlocal contact…

Soft Condensed Matter · Physics 2016-08-03 Marcial Gonzalez , Alberto M. Cuitino

Plastic deformation mediated by collective dislocation dynamics is investigated in the two-dimensional phase-field crystal model of sheared single crystals. We find that intermittent fluctuations in the dislocation population number…

Materials Science · Physics 2015-01-05 Jens M. Tarp , Luiza Angheluta , Joachim Mathiesen , Nigel Goldenfeld

A recent study demonstrated that granular crystals containing a single dislocation exhibit dislocation glide analogous to that observed in atomic-scale crystals, resulting in plastic deformation at yield stresses several orders of magnitude…

Soft Condensed Matter · Physics 2026-05-26 Fumiaki Nakai , Takashi Uneyama , Yuto Sasaki , Kiwamu Yoshii , Hiroaki Katsuragi

Digital image correlation (DIC) is a well-established, non-invasive technique for tracking and quantifying the deformation of mechanical samples under strain. While it provides an obvious way to observe incremental and aggregate…

Materials Science · Physics 2019-04-16 Stefanos Papanikolaou , Michail Tzimas , Andrew C. E. Reid , Stephen A. Langer

Micropillar compression experiments probing size effects in confined plasticity of metal thin films, including the indirect imposition of 'canonical' simple shearing boundary conditions, show dramatically different responses in compression…

Materials Science · Physics 2023-05-09 Abhishek Arora , Rajat Arora , Amit Acharya

Molecular dynamics simulations are performed to investigate the role of a coherent {\Sigma}3 (111) twin boundary on the plastic deformation behavior of Cu nanopillars. Our work reveals that the mechanical response of pillars with and…

While cracking is a complex dynamics that involves material intrinsic properties like grain shape and size distribution, elastic properties of grain and cementing materials, and extrinsic properties of loading, in this work, the focus has…

Materials Science · Physics 2024-10-10 Ruhul A. I. Haque , T. Dutta

We investigate dynamics of deformable self-propelled particles with a repulsive interaction whose magnitude depends on the relative direction of elongation of a pair of particles. A collective motion of the particles appears in two…

Soft Condensed Matter · Physics 2015-05-27 Yu Itino , Takahiro Ohkuma , Takao Ohta

Atomic crystals with dislocations deform plastically at low stresses via dislocation glide. Whether dislocation glide occurs in macroscopic frictional granular media has remained unknown. The discrete element method is employed to simulate…

Materials Science · Physics 2026-05-26 Fumiaki Nakai , Takashi Uneyama , Yuto Sasaki , Kiwamu Yoshii , Hiroaki Katsuragi

We report a combined experimental and simulation study of deformation-induced diffusion in compacted two-dimensional amorphous granular pillars, in which thermal fluctuations play negligible role. The pillars, consisting of bidisperse…

Soft Condensed Matter · Physics 2015-07-21 Wenbin Li , Jennifer M. Rieser , Andrea J. Liu , Douglas J. Durian , Ju Li

At the macroscopic scale, many important models of collective motion fall into the class of kinematic flows for which both velocity and diffusion terms depend only on particle density. When total particle numbers are fixed and finite,…

Adaptation and Self-Organizing Systems · Physics 2022-04-12 Jeremy Worsfold , Tim Rogers , Paul Milewski

We propose a model to study the plasticity of ice single crystals by numerical simulations. The model includes the long-range character of the interaction among dislocations, as well as the possibility of mutual annihilation of these line…

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

The kinetics of dislocation reactions, such as dislocation multiplication, controls the plastic deformation in crystals beyond their elastic limit, therefore critical mechanisms in a number of applications in materials science. We present a…

Materials Science · Physics 2024-12-31 Soumendu Bagchi , Danny Perez

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 wish to understand the macroscopic plastic behaviour of metals by upscaling the micro-mechanics of dislocations. We consider a highly simplified dislocation network, which allows our microscopic model to be a one dimensional particle…

Mathematical Physics · Physics 2019-02-20 P. van Meurs , A. Muntean , M. A. Peletier

Crystal plasticity is the result of the motion and interaction of dislocations. There is, however, still a major gap between microscopic and mesoscopic simulations and continuum crystal plasticity models. Only recently a higher dimensional…

Materials Science · Physics 2010-10-15 Thomas Hochrainer , Michael Zaiser , Peter Gumbsch

We address the question of why larger, high symmetry crystals are mostly weak, ductile and statistically sub-critical, while smaller crystals with the same symmetry are strong, brittle and super-critical. We link it to another question of…

Soft Condensed Matter · Physics 2020-09-02 P. Zhang , O. U. Salman , J. Weiss , L. Truskinovsky

The rigidity transition occurs when, as the density of microscopic components is increased, a disordered medium becomes able to transmit and ensure macroscopic mechanical stability, owing to the appearance of a space-spanning rigid…

Statistical Mechanics · Physics 2023-07-12 Nina Javerzat , Mehdi Bouzid

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
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