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Related papers: A continuum model for dislocation dynamics in thre…

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Validating dislocation patterning models against in situ imaging experiments is a longstanding goal in materials physics. Here, we provide the first direct morphological comparison of such models. Using in situ Dark-Field X-ray Microscopy…

Understanding the nanoscale effects controlling the dynamics of a contact line -- defined as the line formed at the junction of two fluid phases and a solid -- has been a longstanding problem in fluid mechanics pushing experimental and…

Fluid Dynamics · Physics 2025-01-06 Andreas Nold , Benjamin D. Goddard , David N. Sibley , Serafim Kalliadasis

Understanding the evolution of dislocation structures during plastic deformation is critical for predicting the mechanical performance of metallic materials. In this work, we applied in situ scanning electron microscopy/electron backscatter…

Materials Science · Physics 2026-03-24 Mikhail Lebyodkin , Maxim Gussev , Jamieson Brechtl , Tatiana Lebedkina

A new formulation of the Phase Field Crystal model is presented that is consistent with the necessary microscopic independence between the phase field, reflecting the broken symmetry of the phase, and both mass density and elastic…

Materials Science · Physics 2020-09-09 Amit Acharya , Jorge Viñals

Movement of edge (line) dislocations in FCC steel 310S is shown to depend on the size on nanoscale structures, based on modeling withing molecular dynamics (MD). The effect is attributed to time (and size) dependencies of pressure…

Materials Science · Physics 2022-02-02 Zbigniew Kozioł

Dislocation based modeling of plasticity is one of the central challenges at the crossover of materials science and continuum mechanics. Developing a continuum theory of dislocations requires the solution of two long standing problems: (i)…

Materials Science · Physics 2016-01-20 Thomas Hochrainer

Continuum models of dislocation plasticity require constitutive closure assumptions, e.g., by relating details of the dislocation microstructure to energy densities. Currently, there is no systematic way for deriving or extracting such…

Materials Science · Physics 2021-05-26 Hengxu Song , Nina Gunkelmann , Giacomo Po , Stefan Sandfeld

Nanoindentation techniques recently developed to measure the mechanical response of crystals under external loading conditions reveal new phenomena upon decreasing sample size below the microscale. At small length scales, material…

Materials Science · Physics 2015-03-18 Paolo Moretti , Benedetta Cerruti , M. -Carmen Miguel

We explore the impact of dynamical friction on scales where the linear growth factor and the spherical collapse model can be applied and show its influence on the evolution of perturbations. In particular, considering smooth and clustering…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-25 Francesco Pace , Orlando Luongo , Antonino Del Popolo

The static stress needed to depin a 2D edge dislocation, the lower dynamic stress needed to keep it moving, its velocity and displacement vector profile are calculated from first principles. We use a simplified discrete model whose far…

Materials Science · Physics 2009-11-10 A. Carpio , L. L. Bonilla

The fundamental dislocation processes of glide, climb, and annihilation are studied on diffusive time scales within the framework of a continuum field theory, the Phase Field Crystals (PFC) model. Glide and climb are examined for single…

Materials Science · Physics 2009-11-11 J. Berry , K. R. Elder , M. Grant

We study the properties of strain bursts (dislocation avalanches) occurring in two-dimensional discrete dislocation dynamics models under quasistatic stress-controlled loading. Contrary to previous suggestions, the avalanche statistics…

We study several one dimensional step flow models. Numerical simulations show that the slope of the profile exhibits scaling in all cases. We apply a scaling ansatz to the various step flow models and investigate their long time evolution.…

Materials Science · Physics 2009-10-31 Navot Israeli , Hyeong-Chai Jeong , Daniel Kandel , John D. Weeks

To study the nanoscopic interaction between edge dislocations and a phase boundary within a two-phase microstructure the effect of the phase contrast on the internal stress field due to the dislocations needs to be taken into account. For…

Materials Science · Physics 2019-09-04 F. Bormann , R. H. J. Peerlings , M. G. D. Geers , B. Svendsen

The impact of twin boundaries (TBs) on the microstructure evolution and plastic deformation mechanisms of face-centered cubic (FCC) metals has been extensively studied since the discovery that nanotwinned materials exhibit a favorable…

Materials Science · Physics 2026-01-28 DeAn Wei , Michael Zaiser , Jing Tang , Xu Zhang

This paper unravels the problem of an idealised pile-up of n infinite, equi-spaced walls of edge dislocations at equilibrium. We define a dimensionless parameter that depends on the geometric, constitutive and loading parameters of the…

Optimization and Control · Mathematics 2012-08-29 Lucia Scardia , Ron H. J. Peerlings , Mark A. Peletier , Marc G. D. Geers

We use a continuous mesoscopic model to address the yielding properties of plastic composites, formed by a host material and inclusions with different elastic and/or plastic properties. We investigate the flow properties of the composed…

Statistical Mechanics · Physics 2020-05-06 E. A. Jagla

In this paper we consider the equilibrium problem in the relaxed linear model of micromorphic elastic materials. The basic kinematical fields of this extended continuum model are the displacement $u\in \mathbb{R}^3$ and the non-symmetric…

Mathematical Physics · Physics 2014-03-17 Patrizio Neff , Ionel-Dumitrel Ghiba , Markus Lazar , Angela Madeo

A continuum plasticity model for metals is presented from considerations of non-equilibrium thermodynamics. Of specific interest is the application of a fluctuation relation that subsumes the second law of thermodynamics en route to…

Materials Science · Physics 2016-03-31 S Roy Chowdhury , D Roy , J N Reddy

We introduce a dislocation density tensor and derive its kinematic evolution law from a phase field description of crystal deformations in three dimensions. The phase field crystal (PFC) model is used to define the lattice distortion,…

Materials Science · Physics 2022-06-06 Vidar Skogvoll , Luiza Angheluta , Audun Skaugen , Marco Salvalaglio , Jorge Viñals