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A thin circular elastic sheet floating on a drop-like liquid substrate is deformed due to incompatibility between the curved substrate and the planar sheet. We adopt a variational viewpoint by minimizing the non-convex membrane energy…

Analysis of PDEs · Mathematics 2026-02-19 Peter Bella , Carlos Román

In [3] a simple discrete scheme for the motion of screw dislocations toward low energy configurations has been proposed. There, a formal limit of such a scheme, as the lattice spacing and the time step tend to zero, has been described. The…

Analysis of PDEs · Mathematics 2017-03-14 Roberto Alicandro , Lucia De Luca , Adriana Garroni , Marcello Ponsiglione

A three-dimensional continuum dislocation theory for single crystals containing curved dislocations is proposed. A set of governing equations and boundary conditions is derived for the true placement, plastic slips, and loop functions in…

Materials Science · Physics 2015-06-12 Khanh Chau Le

Two-dimensional (2D) layered materials hosting dislocations have attracted considerable research attention in recent years. In particular, screw dislocations can result in a spiral topology and an interlayer twist in the layered materials,…

Materials Science · Physics 2020-12-23 Rui Chen , Jinhua Cao , Stephen Gee , Yin Liu , Jie Yao

Local rearrangements are the elements of plastic deformation in an amorphous solid. In oscillatory shear, they can switch reversibly between two distinct configurations. While these repeating relaxations are typically considered in the…

Soft Condensed Matter · Physics 2025-12-22 Zhicheng Wang , Nathan C. Keim

A consistent, small scale description of plastic motion in a crystalline solid is presented based on a phase field description. By allowing for independent mass motion given by the phase field, and lattice distortion, the solid can remain…

Materials Science · Physics 2018-12-26 Audun Skaugen , Luiza Angheluta , Jorge Viñals

The intersection between dislocations and a Ag(111) surface has been studied using an interplay of scanning tunneling microscopy (STM) and molecular dynamics (MD). Whereas the STM provides atomically resolved information about the surface…

A lattice of elastic Rayleigh rods organized in a parallelepiped geometry can be axially loaded up to an arbitrary amount without distortion and then be subject to incremental time-harmonic dynamic motion. At certain threshold levels of…

Classical Physics · Physics 2021-03-04 Giovanni Bordiga , Luigi Cabras , Andrea Piccolroaz , Davide Bigoni

The elastic coupling between plastic events is generally invoked to interpret plastic properties and failure of amorphous soft glassy materials. We report an experiment where the emergence of a self-organized plastic flow is observed well…

Soft Condensed Matter · Physics 2014-05-21 Le Bouil Antoine , Amon Axelle , McNamara Sean , Crassous Jérôme

We report on the identification and quantitative characterization of elementary edge and screw dislocations in a colloidal smectic phase of tip-labeled rods. Thanks to the micrometer layer spacing, direct visualization of dislocations has…

Soft Condensed Matter · Physics 2018-09-12 Andrii Repula , Eric Grelet

We present a detailed analysis of the molecular packing of a strained liquid crystal elastomer composed of chiral mesogens in the smectic A phase. X-ray diffraction patterns of the elastomer collected over a range of orientations with…

In this study, we use discrete dislocation dynamics (DDD) simulation to investigate the effect of heterogeneous dislocation density on the transition between quasi-elastic deformation and plastic flow in face-centered cubic single crystals.…

Materials Science · Physics 2019-07-24 Xu Zhang , Jian Xiong , Haidong Fan , Michael Zaiser

The interaction between dislocations is fundamental to plastic deformation, work hardening, and defect accumulation. While extensive research has focused on the impact of solutes on individual dislocations, how solutes affect…

Materials Science · Physics 2024-09-25 Jie Hou , Ducheng Peng , Xiang-Shan Kong , Huiqiu Deng , Wangyu Hu , Cheng Chen , Jun Song

The plastic deformation of crystalline and other heterogeneous materials often manifests in stochastic intermittent events indicating the criticality of plastic behavior. Previous studies demonstrated that the presence of short-ranged…

Statistical Mechanics · Physics 2026-01-22 Dénes Berta , Barna Mendei , Péter Dusán Ispánovity

We present nonlinear dynamic equations for nematic and smectic $A$ liquid crystals in the presence of an alternating electric field and explain their derivation in detail. The local electric field acting in any liquid-crystalline system is…

Soft Condensed Matter · Physics 2023-06-30 E. S. Pikina , E. I. Kats , A. R. Muratov , V. V. Lebedev

Although glassy relaxation is typically associated with disorder, here we report on a new type of glassy dynamics relating to dislocations within 2-D crystals of colloidal dimers. Previous studies have demonstrated that dislocation motion…

Soft Condensed Matter · Physics 2010-08-12 Sharon J. Gerbode , Umang Agarwal , Desmond C. Ong , Chekesha M. Liddell , Fernando Escobedo , Itai Cohen

Recent experiments showed that the shear modulus of solid 4He stiffens in the same temperature range (below 200 mK) where mass decoupling and supersolidity have been inferred from torsional oscillator measurements. The two phenomena are…

Other Condensed Matter · Physics 2013-05-29 James Day , Oleksandr Syshchenko , John Beamish

Liquid crystal elastomers are cross-linked elastomer networks with liquid crystal mesogens incorporated into the main or side chain. Polydomain liquid crystalline (nematic) elastomers exhibit unusual mechanical properties like soft…

Soft Condensed Matter · Physics 2024-05-21 Ameneh Maghsoodi , Kaushik Bhattacharya

The strength of body-centered cubic materials is traditionally known to be governed by screw dislocations. However, recent findings reveal that in certain refractory complex concentrated alloys, edge dislocations can instead control…

The thermodynamic dislocation theory developed for non-uniform plastic deformations is used here to simulate the stress-strain curves for crystals subjected to anti-plane shear-controlled load reversal. We show that the presence of the…

Materials Science · Physics 2018-05-02 Khanh Chau Le , Tuan Minh Tran
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