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The universality class of the avalanche behavior in plastically deforming crystalline and amorphous systems has been commonly discussed, despite the fact that the microscopic defect character in each of these systems is different. In…

材料科学 · 物理学 2019-05-08 Hengxu Song , Dennis Dimiduk , Stefanos Papanikolaou

We investigate Anderson localization on various 1D structures having flat bands. The main focus is on the scaling laws obeyed by the localization length at weak disorder in the vicinity of flat-band energies. A careful distinction is made…

介观与纳米尺度物理 · 物理学 2019-04-26 J. M. Luck

We propose a framework to model elastic properties of polycrystals by coupling crystal orientational degrees of freedom with elastic strains. Our model encodes crystal symmetries and takes into account explicitly the strain compatibility…

材料科学 · 物理学 2009-11-07 Rajeev Ahluwalia , Turab Lookman , Avadh Saxena

We carry out the molecular statics simulations of depinning of an edge dislocation at voids of diameters of the order of ~1 nm. We show that the dislocation-void interactions are non-trivial as the applied shear load is found to enhance the…

材料科学 · 物理学 2010-03-26 A. Dutta , M. Bhattacharya , P. Mukherjee , N. Gayathri , G. C. Das , P. Barat

Crystal plasticity of sub-micron finite volumes is characterized by the flow of emergent dislocation defects, giving rise to size effects in mechanical properties and avalanche phenomena. In this chapter, we present a minimal model for…

材料科学 · 物理学 2019-08-09 Stefanos Papanikolaou , Michail Tzimas

It has recently become popular to analyze the behavior of excess dislocations in plastic deformation under the assumption that such dislocations are arranged into walls with periodic dislocation spacing along the wall direction. This…

材料科学 · 物理学 2015-05-30 Michael Zaiser , Istvan Groma

We study the mechanics and statistical physics of dislocations interacting on cylinders, motivated by the elongation of rod-shaped bacterial cell walls and cylindrical assemblies of colloidal particles subject to external stresses. The…

软凝聚态物质 · 物理学 2013-05-15 Ariel Amir , Jayson Paulose , David R. Nelson

Honeycomb layered oxides have garnered tremendous research interest in a wide swath of disciplines owing not only to the myriad physicochemical properties they exhibit, but also their rich crystal structural versatility. Herein, a…

A recent study demonstrated that granular crystals containing a single dislocation exhibit dislocation glide analogous to that observed in atomic-scale crystals, resulting in plastic deformation at yield stresses several orders of magnitude…

软凝聚态物质 · 物理学 2026-05-26 Fumiaki Nakai , Takashi Uneyama , Yuto Sasaki , Kiwamu Yoshii , Hiroaki Katsuragi

The response to a localized force provides a sensitive test for different models of stress transmission in granular solids. The elasto-plastic models traditionally used by engineers have been challenged by theoretical and experimental…

软凝聚态物质 · 物理学 2009-11-13 C. Goldenberg , I. Goldhirsch

Stress-driven segregation at dislocations can lead to structural transitions between different linear complexion states. In this work, we examine how platelet array linear complexions influence dislocation motion and quantify the associated…

材料科学 · 物理学 2024-04-11 Pulkit Garg , Daniel S. Gianola , Timothy J. Rupert

The inherent inconsistency in identifying the phase field in the phase field crystal Theory with the material mass and, simultaneously, with material distortion is discussed. In its current implementation, elastic relaxation in the phase…

材料科学 · 物理学 2025-02-25 Amit Acharya , Luiza Angheluta , Jorge Vinals

The elastic response of the crystalline sheet to the stretching deformation in the form of wrinkles has been extensively investigated. In this work, we extend this fundamental scientific question to the plastic regime by exploring the…

软凝聚态物质 · 物理学 2025-06-09 Ranzhi Sun , Zhenwei Yao

Elastic effects in a model of disordered nematic elastomers are numerically investigated in two dimensions. Networks crosslinked in the isotropic phase exhibit unusual soft mechanical response against stretching. It arises from gradual…

软凝聚态物质 · 物理学 2009-10-31 Nariya Uchida

Dissipative quantum systems can under appropriate conditions exhibit bi- or multi-partite entanglement at the steady state. The presence and properties of these quantum correlations depend on the relevant model parameters. Here, we…

量子物理 · 物理学 2024-09-26 Alan Kahan , Cecilia Cormick

Dislocation nucleation is essential to our understanding of plastic deformation, ductility and mechanical strength of crystalline materials. Molecular dynamics simulation has played an important role in uncovering the fundamental mechanisms…

材料科学 · 物理学 2015-05-20 Seunghwa Ryu , Keonwook Kang , Wei Cai

We address the effect of disorder geometry on the critical force in disordered elastic systems. We focus on the model system of a long-range elastic line driven in a random landscape. In the collective pinning regime, we compute the…

统计力学 · 物理学 2016-11-09 Vincent Démery , Vivien Lecomte , Alberto Rosso

Molecular dynamics simulations are performed to investigate the role of a coherent {\Sigma}3 (111) twin boundary on the plastic deformation behavior of Cu nanopillars. Our work reveals that the mechanical response of pillars with and…

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…

最优化与控制 · 数学 2012-08-29 Lucia Scardia , Ron H. J. Peerlings , Mark A. Peletier , Marc G. D. Geers

We study a parabolic differential equation whose solution represents the atom dislocation in a crystal for a general type of Peierls-Nabarro model with possibly long range interactions and an external stress. Differently from the previous…

偏微分方程分析 · 数学 2015-06-22 Stefania Patrizi , Enrico Valdinoci
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