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This short communication discusses two alternate techniques to treat hanging nodes in a quadtree mesh. Both the techniques share similarities, in that, they require only boundary information. Moreover, they do not require an explicit form…

Numerical Analysis · Mathematics 2013-10-17 Sundararajan Natarajan , Ean Tat Ooi , Hou Man , Chongmin Song

The extraction of transverse momentum dependent distributions (TMDs) in semi-inclusive deep inelastic scattering (SIDIS) is complicated by the presence of both initial- and final-state nonperturbative physics. We recently proposed measuring…

High Energy Physics - Phenomenology · Physics 2020-11-10 Daniel Gutierrez-Reyes , Ignazio Scimemi , Wouter J. Waalewijn , Lorenzo Zoppi

We propose a novel analytical model for anisotropic multi-layer cylindrical structures containing graphene layers. The general structure is formed by an aperiodic repetition of a three-layer sub-structure, where a graphene layer, with an…

We provide an analytical formulation to model the propagation of elastic waves in a homogeneous half-space supporting an array of thin plates. The technique provides the displacement field obtained from the interaction between an incident…

Applied Physics · Physics 2022-06-02 Xingbo Pu , Antonio Palermo , Alessandro Marzani

Graphene monolayers are known to display domains of anisotropic friction with twofold symmetry and anisotropy exceeding 200 percent. This anisotropy has been thought to originate from periodic nanoscale ripples in the graphene sheet, which…

The objective of this article is to compare different surface energies for multi-well singular perturbation problems associated with martensitic phase transformations involving higher order laminates. We deduce scaling laws in the singular…

Analysis of PDEs · Mathematics 2025-07-10 Angkana Rüland , Camillo Tissot , Antonio Tribuzio , Christian Zillinger

This paper introduces a material-aware strength-of-connection measure for smoothed aggregation algebraic multigrid methods, aimed at improving robustness for scalar partial differential equations with heterogeneous and anisotropic material…

Computational Engineering, Finance, and Science · Computer Science 2026-02-06 Max Firmbach , Malachi Phillips , Christian Glusa , Alexander Popp , Christopher M. Siefert , Matthias Mayr

In this paper we analyze the effect of a combined pure homogeneous strain and simple shear in a principal plane of the latter on the propagation of surface waves for an incompressible isotropic elastic half-space whose boundary is normal to…

Soft Condensed Matter · Physics 2013-04-24 Michel Destrade , Ray W. Ogden

By viewing a velocity gradient in a fluid as an internal disturbance and treating it as a constraint on the wave function of a system, a linear evolution equation for the wave function is obtained from the Lagrange multiplier method. It…

Statistical Mechanics · Physics 2012-11-13 M. -L. Zhang , D. A. Drabold

In this paper, the flutter behaviour of simply supported square functionally graded material plates immersed in a supersonic flow is studied. An enriched 4-noded quadrilateral element based on field consistency approach is used for this…

Numerical Analysis · Mathematics 2012-03-14 S Natarajan , M Ganapathi , S Bordas

We propose a simple dynamic model of polymers under shear with an anisotropic mobility tensor. We calculate the shear viscosity, the rheo-dielectric response function, and the parallel relaxation modulus under shear flow deduced from our…

Soft Condensed Matter · Physics 2011-07-05 Takashi Uneyama , Kazushi Horio , Hiroshi Watanabe

Sweet-Parker current sheets in high Lundquist number plasmas are unstable to tearing, suggesting they will not form in physical systems. Understanding magnetic reconnection thus requires study of the stability of a current sheet as it…

Plasma Physics · Physics 2018-03-02 Elizabeth A. Tolman , Nuno F. Loureiro , Dmitri A. Uzdensky

This study presents the spreading of a single filament of a yield stress (viscoplastic) fluid extruded onto a pre-wetted solid surface. The filaments spread laterally under surface tension forces until they reach a final equilibrium shape…

Fluid Dynamics · Physics 2022-12-29 Jesse van der Klok , Daniël Tieman , Maziyar Jalaal

Incompressibility is established for three-dimensional and two-dimensional deformations of an anisotropic linearly elastic material, as conditions to be satisfied by the elastic compliances. These conditions make it straightforward to…

Soft Condensed Matter · Physics 2013-05-23 Michel Destrade , Paul A. Martin , Tom C. T. Ting

In this paper we extend the recent theory of shear-localization in 2-dimensional amorphous solids to 3-D. In 2-D the fundamental instability of shear-localization is related to the appearance of a line of displacement quadrupoles, that…

Soft Condensed Matter · Physics 2015-12-11 Ratul Dasgupta , Oleg Gendelman , Pankaj Mishra , Itamar Procaccia , Carmel A. B. Z. Shor

In this paper, a cell-based smoothed finite element method with discrete shear gap technique for triangular ele- ments is employed to study the linear flutter characteristics of functionally graded material (FGM) flat panels. The influence…

Numerical Analysis · Mathematics 2013-09-04 Sundararajan Natarajan , Karthik Kaleeswaran , Ganapathi Manickam

We use high resolution direct numerical simulations to study the anisotropic contents of a turbulent, statistically homogeneous flow with random transitions among multiple energy containing states. We decompose the velocity correlation…

Fluid Dynamics · Physics 2017-07-05 Kartik P. Iyer , Fabio Bonaccorso , Luca Biferale , Federico Toschi

Event shape observables have been widely used for precision QCD studies at various lepton and hadron colliders. We present the most accurate calculation of the transverse-energy-energy correlation event shape variable in deep-inelastic…

High Energy Physics - Phenomenology · Physics 2020-12-02 Hai Tao Li , Ivan Vitev , Yu Jiao Zhu

In this work, we investigate the shear elasticity and the shear viscosity in a simple holographic axion model with broken translational symmetry and rotational symmetry in space via the perturbation computation. We find that, in the case of…

High Energy Physics - Theory · Physics 2025-03-31 Lei Li , Wei-Jia Li , Xiao-Mei Kuang

Mechanical shear deformations lead, in some cases, to effects similar to those resulting from ion irradiation. Here we characterize the effects of shear velocity and temperature on amorphous silicon (\aSi) modelled using classical molecular…

Materials Science · Physics 2015-05-19 Ali Kerrache , Normand Mousseau , Laurent J. Lewis