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Biological cells in soft materials can be modeled as anisotropic force contraction dipoles. The corresponding elastic interaction potentials are long-ranged ($\sim 1/r^3$ with distance $r$) and depend sensitively on elastic constants,…

软凝聚态物质 · 物理学 2009-11-07 U. S. Schwarz , S. A. Safran

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…

材料科学 · 物理学 2021-06-15 Daniel N. Blaschke , Darby J. Luscher

Driven by the growing interest in numerical simulations of dislocation-interface interactions in general crystalline materials with elastic anisotropy, we develop algorithms for the integration of interface tractions needed to couple…

材料科学 · 物理学 2016-06-22 Bing Liu , Athanasios Arsenlis , Sylvie Aubry

We consider a variational anti-plane lattice model and demonstrate that at zero temperature, there exist locally stable states containing screw dislocations, given conditions on the distance between the dislocations, and on the distance…

偏微分方程分析 · 数学 2016-07-20 Thomas Hudson , Christoph Ortner

In this paper we derive a line tension model for dislocations in 3d starting from a geometrically nonlinear elastic energy with quadratic growth. In the asymptotic analysis, as the amplitude of the Burgers vectors (proportional to the…

偏微分方程分析 · 数学 2020-04-07 Adriana Garroni , Roberta Marziani , Riccardo Scala

A description of dislocations and disclinations defects in terms of Riemann--Cartan geometry is given, with the curvature and torsion tensors being interpreted as the surface densities of the Frank and Burgers vectors, respectively. A new…

材料科学 · 物理学 2011-07-19 M. O. Katanaev

Large-scale atomistic calculations, using empirical potentials for modeling semiconductors, have been performed on a stressed system with linear surface defects like steps. Although the elastic limits of systems with surface defects remain…

材料科学 · 物理学 2007-09-12 Julien Godet , Laurent Pizzagalli , Sandrine Brochard , Pierre Beauchamp

This work rigorously implements a recent model of large-strain elasto-plastic evolution in single crystals where the plastic flow is driven by the movement of discrete dislocation lines. The model is geometrically and elastically nonlinear,…

偏微分方程分析 · 数学 2024-02-27 Filip Rindler

Volterra's definition of dislocations in crystals distinguishes edge and screw defects geometrically, according to whether the Burgers vector is perpendicular or parallel to the defect. Here, we demonstrate a distinction between screw and…

材料科学 · 物理学 2024-01-25 Paul G. Severino , Randall D. Kamien

In this study, we present the first simulation results of the formation of dislocation cell wall microstructures in tantalum subjected to shock loading. Dislocation patterns and cell wall formation are important to understanding the…

材料科学 · 物理学 2023-05-04 Jaehyun Cho , Luke L. Hsiung , Robert E. Rudd , Sylvie Aubry

A variational approach is presented to calculate the stress field generated by a system of dislocations. It is shown that in the simplest case, when the material containing the dislocations obeys Hooke's law the variational framework gives…

材料科学 · 物理学 2010-09-15 István Groma , Géza Györgyi , Péter Dusán Ispánovity

In the light of recent measurements of the C 1s core level dispersion in graphene [Nat. Phys. 6, 345 (2010)], we explore the interplay between the elastic scattering of photoelectrons and the surface core level shifts with regard to the…

其他凝聚态物理 · 物理学 2015-05-20 E. F. Schwier , C. Monney , N. Mariotti , Z. Vydrovà , M. García-Fernández , C. Didiot , M. G. Garnier , P. Aebi

In the modeling of dislocations one is lead naturally to energies concentrated on lines, where the integrand depends on the orientation and on the Burgers vector of the dislocation, which belongs to a discrete lattice. The dislocations may…

偏微分方程分析 · 数学 2016-11-14 Sergio Conti , Adriana Garroni , Annalisa Massaccesi

Disclinations, first observed in mesomorphic phases, are relevant to a number of ill-ordered condensed matter media, with continuous symmetries or frustrated order. They also appear in polycrystals at the edges of grain boundaries. They are…

软凝聚态物质 · 物理学 2009-11-13 Maurice Kleman , Jacques Friedel

The stability of the perfect screw dislocation in silicon has been investigated using both classical potentials and first-principles calculations. Although a recent study by Koizumi et al . stated that the stable screw dislocation was…

材料科学 · 物理学 2007-09-12 Laurent Pizzagalli , Pierre Beauchamp , Jacques Rabier

Dislocation motion in body centered cubic (bcc) metals displays a number of specific features that result in a strong temperature dependence of the flow stress, and in shear deformation asymmetries relative to the loading direction as well…

材料科学 · 物理学 2016-08-05 Giacomo Po , Yinan Cui , David Rivera , David Cereceda , Tom D. Swinburne , Jaime Marian , Nasr Ghoniem

Two-sided flux decoration experiments indicate that threading dislocation lines (TDLs), which cross the entire film, are sometimes trapped in metastable states. We calculate the elastic energy associated with the meanderings of a TDL. The…

超导电性 · 物理学 2008-02-03 M. -Carmen Miguel , Mehran Kardar

We investigate the deformation of a longitudinally stretched rectangular sheet which is clamped at two opposite boundaries and free otherwise with experiments, numerical analysis and asymptotic analysis of the biharmonic elastic equation…

软凝聚态物质 · 物理学 2018-07-31 Chopin Julien , Panaitescu Andreea , Kudrolli Arshad

This paper discusses the basic concepts of phase dislocations and vortex formation in the electric fields of fundamental air core mode of hollow core waveguides with specific types of rotational symmetry of the core cladding boundary.…

光学 · 物理学 2021-09-15 Andrey Pryamikov

Solutions to the differential equations of linear elasticity in the continuum limit in arbitrary crystal symmetry are known only for steady-state dislocations of arbitrary character, i.e. line defects moving at constant velocity. Troubled…

材料科学 · 物理学 2021-04-27 Daniel N. Blaschke