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We consider a semi-linear integro-differential equation in dimension one associated to the half Laplacian %This model describes the evolution of phase transitions associated to dislocations. whose solution represents the atom dislocation in…

Analysis of PDEs · Mathematics 2020-08-18 Stefania Patrizi , Tharathep Sangsawang

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 2016-06-29 Thomas Hochrainer

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

When a material is subjected to an applied stress, the material will experience recoverable elastic deformation followed by permanent plastic deformation at the point when the applied stress exceeds the yield stress of the material.…

Translocation through a nanopore is a new experimental technique to probe physical properties of biomolecules. A bulk of theoretical and computational work exists on the dependence of the time to translocate a single unstructured molecule…

Biomolecules · Quantitative Biology 2009-05-04 Malcolm McCauley , Robert Forties , Ulrich Gerland , Ralf Bundschuh

Predicting the strength of materials requires considering various length and time scales, striking a balance between accuracy and efficiency. Peierls stress measures material strength by evaluating dislocation resistance to plastic flow,…

Materials Science · Physics 2025-01-28 Yingjie Zhao , Hongbo Zhou , Zian Zhang , Zhenxing Bo , Baoan Sun , Minqiang Jiang , Zhiping Xu

In binary alloys, domain walls play a central role not only on the phase transitions but also on their physical properties and were at the heart of the 70's metallurgy research. Whereas it can be predicted, with simple physics arguments,…

Dislocations are one-dimensional (1D) topological line defects where the lattice deviates from the perfect crystal structure. The presence of dislocations transcends condensed matter research and gives rise to a diverse range of emergent…

The mechanical properties of amorphous solids like metallic glasses can be dramatically changed by adding small concentrations (as low as 0.1\%) of foreign elements. The glass-forming-ability, the ductility, the yield stress and the elastic…

Materials Science · Physics 2016-06-29 H. George E. Hentschel , Michael Moshe , Itamar Procaccia , Konrad Samwer

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

Platelet array linear complexions have been predicted in Al-Cu, with notable features being dislocation faceting and climb into the precipitate, both of which should impact plasticity. In this study, we examine the strain rate dependence of…

Materials Science · Physics 2025-08-29 Pulkit Garg , Daniel S. Gianola , Timothy J. Rupert

By using molecular dynamics simulations, the research examine how copper and silver nanowires respond to tensile loading in order to clarify their nanoscale deformation mechanisms. The results demonstrate that these two metal nanowires…

Materials Science · Physics 2025-05-02 Xiaorui Hu , Jiawei Xiong

We unveil a new non-basal slip mechanism in the {\mu}-phase at room temperature using nanomechanical testing, transmission electron microscopy and atomistic simulation. The (1-105) planar faults with a displacement vector of 0.07[-5502] can…

Materials Science · Physics 2024-02-19 W. Luo , C. Gasper , S. Zhang , P. L. Sun , N. Ulumuddin , A. Petrova , Y. Lysogorskiy , R. Drautz , Z. Xie , S. Korte-Kerzel

Nickel-based superalloys play a major role in many technologically relevant high temperature applications. Understanding and predicting the evolution of the phase microstructure during high temperature creep together with the evolution of…

Materials Science · Physics 2016-05-26 Ronghai Wu , Stefan Sandfeld

Plastic deformation is mediated by the creation and movement of dislocations, and at high stress the latter is dominated by dislocation drag from phonon wind. By simulating a 1-D shock impact problem we analyze the importance of accurately…

Materials Science · Physics 2021-06-15 Daniel N. Blaschke , Darby J. Luscher

We study modulational instability in nonlinear arrays of subwavelength metallic nanoparticles, and analyze numerically nonlinear scenarios of the instability development. We demonstrate that modulational instability can lead to the…

Optics · Physics 2012-06-01 Roman E. Noskov , Pavel A. Belov , Yuri S. Kivshar

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

Amorphous grain boundary complexions act as toughening features within a microstructure because they can absorb dislocations more efficiently than traditional grain boundaries. This toughening effect should be a strong function of the local…

Materials Science · Physics 2023-08-09 Pulkit Garg , Timothy J. Rupert

Over the past decades, discrete dislocation dynamics simulations have been shown to reliably predict the evolution of dislocation microstructures for micrometer-sized metallic samples. Such simulations provide insight into the governing…

We prove Taylor scaling for dislocation lines characterized by line-tension and moving by curvature under the action of an applied shear stress in a plane containing a random array of obstacles. Specifically, we show--in the sense of…

Analysis of PDEs · Mathematics 2022-04-13 Luca Courte , Patrick Dondl , Michael Ortiz