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The material properties of polycrystals are strongly affected by the evolution and coarsening of their internal grain structures. Yet, studying this process is challenging due to the complex interactions within grain boundary networks.…

Continuum dislocation dynamics (CDD) represents the evolution of systems of curved and connected dislocation lines in terms of density-like field variables which include the volume density of loops (or 'curvature density') as an additional…

Materials Science · Physics 2023-01-04 Xi Luo , Michael Zaiser

The computational method of discrete dislocation dynamics (DDD), used as a coarse-grained model of true atomistic dynamics of lattice dislocations, has become of powerful tool to study metal plasticity arising from the collective behavior…

Materials Science · Physics 2023-09-27 Nicolas Bertin , Vasily V. Bulatov , Fei Zhou

Coarse-grained, metallic materials undergo microstructure refinement during tribological loading. This in turn results in changing tribological properties, so understanding deformation under tribological load is mandatory when designing…

Grain boundaries (GBs) are central defects for describing polycrystalline materials, and playing major role in a wide-range of physical properties of polycrystals. Control over GB kinetics provides effective means to tailor polycrystal…

Materials Science · Physics 2018-10-10 Jian Han , Spencer L. Thomas , David J. Srolovitz

In the experiments on stress-induced phase transitions in SMA strips, several interesting instability phenomena have been observed, including a necking-type instability, a shear-type instability and an orientation instability. By using the…

Classical Physics · Physics 2009-10-15 Hui-Hui Dai , Zongxi Cai

The microscopic mechanism by which amorphous solids yield plastically under an externally applied stress or deformation has remained elusive in spite of enormous research activity in recent years. Most approaches have attempted to identify…

Soft Condensed Matter · Physics 2021-07-07 Matteo Baggioli , Ivan Kriuchevskyi , Timothy W. Sirk , Alessio Zaccone

Grain boundary sliding (GBS) is a key deformation mechanism at high homologous temperatures in polycrystalline materials, however, its intrinsic behavior is often obscured by additional strain accommodation processes. In this study,…

Materials Science · Physics 2026-04-20 Divya Sri Bandla , Subin Lee , Christoph Kirchlechner

Recent experiments have illuminated a remarkable growth mechanism of rod-shaped bacteria: proteins associated with cell wall extension move at constant velocity in circles oriented approximately along the cell circumference (Garner et al.,…

Biological Physics · Physics 2013-05-15 Ariel Amir , David R. Nelson

The time-dependent Ginzburg-Landau (TDGL) equation for a single component non-conservative structural order parameter is used to study the spatio-temporal evolution of a second phase in the vicinity of an edge dislocation in an elastic…

Statistical Mechanics · Physics 2012-12-19 Christina Bjerkén , Ali R. Massih

The microstructure of polycrystalline materials consists of networks of grain boundaries (GBs) and triple junctions (TJs), along which three GBs meet. The evolution of such microstructures may be driven by surface tension (capillarity),…

Computational Physics · Physics 2019-08-01 Chaozhen Wei , Luchan Zhang , Jian Han , David J. Srolovitz , Yang Xiang

The existence of a well defined yield stress, where a macroscopic piece of crystal begins to plastically flow, has been one of the basic observations of materials science. In contrast to macroscopic samples, in micro- and nanocrystals the…

Zircaloy-4 is used extensively as nuclear fuel cladding materials and hydride embrittlement is a major failure mechanism. To explore the effect of {\delta}-hydride on plastic deformation and performance of Zircaloy-4, in situ high angular…

Materials Science · Physics 2019-03-28 Siyang Wang , Szilvia Kalácska , Xavier Maeder , Johann Michler , Finn Giuliani , T. Ben Britton

In this paper, we present a dislocation-density-based three-dimensional continuum model, where the dislocation substructures are represented by pairs of dislocation density potential functions (DDPFs), denoted by $\phi$ and $\psi$. The slip…

Materials Science · Physics 2015-09-23 Yichao Zhu , Yang Xiang

The transition from elastic to plastic deformation in crystalline metals shares history dependence and scale-invariant avalanche signature with other non-equilibrium systems under external loading: dilute colloidal suspensions,…

In this study, we use the mechanism-based strain gradient plasticity theory to evaluate both crack tip dislocation density behaviour and the coupled effect of the material plastic properties and the intrinsic material length on non-linear…

Applied Physics · Physics 2021-10-19 V. Shlyannikov , E. Martínez-Pañeda , A. Tumanov , R. Khamidullin

We study dislocation networks in the plane using the vectorial phase-field model introduced by Ortiz and coworkers, in the limit of small lattice spacing. We show that, in a scaling regime where the total length of the dislocations is…

Analysis of PDEs · Mathematics 2020-01-24 Sergio Conti , Adriana Garroni , Stefan Müller

In Bernal bilayer graphene (BBG), a perpendicular displacement field flattens the bottom of the conduction band and thereby facilitates the formation of strongly-correlated electron states at low electron density. Here, we focus on the…

Strongly Correlated Electrons · Physics 2023-10-13 Sandeep Joy , Brian Skinner

A time-dependent Ginzburg-Landau model of plastic deformation in two-dimensional solids is presented. The fundamental dynamic variables are the displacement field $\bi u$ and the lattice velocity ${\bi v}=\p {\bi u}/\p t$. Damping is…

Soft Condensed Matter · Physics 2016-08-31 Akira Onuki

Conventional discrete-to-continuum approaches have seen their limitation in describing the collective behaviour of the multi-polar configurations of dislocations, which are widely observed in crystalline materials. The reason is that…

Materials Science · Physics 2016-04-12 Stephen Jonathan Chapman , Yang Xiang , Yichao Zhu