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Dislocation-density-based crystal plasticity (CP) models are introduced to account for the microstructural changes throughout the deformation process, enabling more quantitative predictions of the deformation process compared to slip-system…

Materials Science · Physics 2025-07-24 Jalal Smiri , Oguz Umut Salman , Ioan R. Ionescu

Dislocations are topological defects known to be crucial in the onset of plasticity and in many properties of crystals. Classical Elasticity still fails to fully explain their dynamics under extreme conditions of high strain gradients and…

Soft Condensed Matter · Physics 2021-01-05 P. C. N. Pereira , S. W. S. Apolinario

Small displacement methods have been successfully used to calculate the lattice dynamical properties of crystals. It involves displacing atoms by a small amount in order to calculate the induced forces on all atoms in a supercell for the…

Materials Science · Physics 2020-10-16 Chee Kwan Gan , Yun Liu , Tze Chien Sum , Kedar Hippalgaonkar

Refractory high entropy alloys containing elements from the Ti, V and Cr columns of the periodic table form body centered cubic (BCC) structures. Elements from the Ti column are noteworthy because they take the BCC structure at high…

Materials Science · Physics 2017-03-13 Bojun Feng , Michael Widom

This article is written in memory of Pierre Hohenberg with appreciation for his deep commitment to the basic principles of theoretical physics. I summarize recent developments in the theory of dislocation-enabled deformation of crystalline…

Materials Science · Physics 2019-02-20 J. S. Langer

An existence of the charge-induced instability is well known for the 4He crystal surface in the rough state. Much less is known about charge-induced instability at the 4He crystal surface in the smooth well-faceted state below the…

Other Condensed Matter · Physics 2012-06-05 S. N. Burmistrov

A novel analysis of homogeneous nucleation of dislocations in sheared two-dimensional crystals described by periodized discrete elasticity models is presented. When the crystal is sheared beyond a critical strain $F=F_{c}$, the strained…

Materials Science · Physics 2008-05-09 I. Plans , A. Carpio , L. L. Bonilla

A significant accumulation of matter in solid Helium-4 observed during the superflow events, dubbed as the giant isochoric compressibility (or the syringe effect), is discussed within the model of dislocations with superfluid core. It is…

Other Condensed Matter · Physics 2017-03-09 Anatoly Kuklov

Crystal plasticity is mediated through dislocations, which form knotted configurations in a complex energy landscape. Once they disentangle and move, they may also be impeded by permanent obstacles with finite energy barriers or frustrating…

Materials Science · Physics 2018-01-17 Stefanos Papanikolaou , Yinan Cui , Nasr Ghoniem

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

We have studied natural purity $^{4}$He single crystals and polycrystals between 10 and 600 mK using a torsional oscillator with a 2 cm$^{3}$ rigid cell made of sapphire with a smooth geometry. As the temperature was lowered, we observed…

Other Condensed Matter · Physics 2015-06-03 A. D. Fefferman , X. Rojas , A. Haziot , S. Balibar , J. T. West , M. H. W. Chan

We study static and dynamical properties that distinguish two dimensional crystals constrained to lie on a curved substrate from their flat space counterparts. A generic mechanism of dislocation unbinding in the presence of varying Gaussian…

Soft Condensed Matter · Physics 2007-11-12 Vincenzo Vitelli , Julius B. Lucks , David R. Nelson

A system of $n$ screw dislocations in an isotropic crystal undergoing antiplane shear is studied in the framework of linear elasticity. Imposing a suitable boundary condition for the strain, namely requesting the non-vanishing of its…

Analysis of PDEs · Mathematics 2018-10-04 Ilaria Lucardesi , Marco Morandotti , Riccardo Scala , Davide Zucco

For a large class of fluids exhibiting ultrasoft bounded pair potentials, particles form crystals consisting of clusters located in the lattice sites, with a density-independent lattice constant. Here we present an investigation on the…

Soft Condensed Matter · Physics 2009-11-13 Angel J. Moreno , Christos N. Likos

The motion of a conducting electron in a quantum dot with one or several dislocations in the underlying crystal lattice is considered in the continuum picture, where dislocations are represented by torsion of space. The possible effects of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Erik Aurell

The dynamics of dislocations in a two-dimensional vortex lattice is studied in the presence of a pinning potential and a transport current. In a vortex lattice drifting with velocity $v$ a glide velocity $V_d$ of the dislocation with…

Superconductivity · Physics 2016-08-31 Stefan Scheidl , Valerii Vinokur

Plasticity in zirconium alloys is mainly controlled by the interaction of 1/3 1210 screw dislocations with oxygen atoms in interstitial octahedral sites of the hexagonal close-packed lattice. This process is studied here using ab initio…

Materials Science · Physics 2017-05-12 Nermine Chaari , David Rodney , Emmanuel Clouet

Dislocations are the main carriers of the permanent deformation of crystals. For simulations of engineering applications, continuum models where material microstructures are represented by continuous density distributions of dislocations…

Materials Science · Physics 2018-03-02 Xiaohua Niu , Yichao Zhu , Shuyang Dai , Yang Xiang

We study the elasticity of perfect 4He at zero-temperature using the diffusion Monte Carlo method and a realistic semi-empirical pairwise potential to describe the He-He interactions. Specifically, we calculate the value of the elastic…

Other Condensed Matter · Physics 2015-05-28 C. Cazorla , Y. Lutsyshyn , J. Boronat

We study the electronic properties of the glide set of dislocations in diamond from first principles using hybrid exchange correlation functionals and find that the atomic-scale dislocation core states give rise to a prototypical…

Materials Science · Physics 2022-10-25 Sevim Polat Genlik , Roberto C. Myers , Maryam Ghazisaeidi