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Related papers: Roughness exponents and grain shapes

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The failure of roughness parameters to predict surface properties stems from their inherent scale-dependence; in other words, the measured value depends on the way it was measured. Here we take advantage of this scale-dependence to develop…

Materials Science · Physics 2021-12-14 Antoine Sanner , Wolfram G. Nöhring , Luke A. Thimons , Tevis D. B. Jacobs , Lars Pastewka

Polycrystalline hcp metals - an important class of engineering materials - typically exhibit complex plasticity because of a limited number of slip systems. Among these metals, deformation is even more complicated in cobalt as it commonly…

To aid in prediction of turbulent boundary layer flows over rough surfaces, a new model is proposed to estimate hydrodynamic roughness based solely on geometric surface information. The model is based on a fluid-mechanics motivated…

Fluid Dynamics · Physics 2024-12-18 Charles Meneveau , Nicholas Hutchins , Daniel Chung

When Chen et al. (2015, Acta Mater. 87, 78-85) investigated the deformation behavior of oligocrystalline gold microwires with varying diameters in both uniaxial tension and torsion, contrary size effects were observed for the different load…

Materials Science · Physics 2016-06-08 E. Bayerschen , A. Prahs , S. Wulfinghoff , M. Ziemann , P. A. Gruber , M. Walter , T. Böhlke

Many engineering and environmental surfaces exhibit spatial heterogeneity in the spanwise direction and encompass multiple surface length scales. When the dominant spanwise length scale is on the order of the largest flow scales (e.g., the…

Fluid Dynamics · Physics 2025-05-27 Mattias Nilsson-Takeuchi , Bharathram Ganapathisubramani

We study exponents of thickness in Frieseck-James-M\"uller's inequalities for shells. We derive the following results: (a) the exponent of thickness $\mu(S)\leq15/8$ if the middle surface $S$ is parabolic; (b) the exponent of thickness…

Analysis of PDEs · Mathematics 2025-03-25 Liang-Biao Chen , Peng-Fei Yao

Inspired by the chemical etching processes, where experiments show that growth rates depending on the local environment might play a fundamental role in determining the properties of the etched surfaces, we study here a model for kinetic…

Statistical Mechanics · Physics 2007-05-23 Raffaele Cafiero

The objective of the current study is to utilize an innovative method called 'change probabilities' for describing fracture roughness. In order to detect and visualize anisotropy of rock joint surfaces, the roughness of one-dimensional…

Statistics Theory · Mathematics 2021-12-23 Tim Gutjahr , Sina Hale , Karsten Keller , Philipp Blum , Steffen Winter

The focus of this paper is to systematically study the influence of solid obstacle surface roughness in porous media on the microscale flow physics and report its effect on macroscale drag and Nusselt number. The Reynolds averaged flow…

Fluid Dynamics · Physics 2023-02-06 Vishal Srikanth , Dylan Peverall , Andrey V. Kuznetsov

Granular material exposed to shear shows a variety of unique phenomena: Reynolds dilatancy, positional order and orientational order effects may compete in the shear zone. We study granular packings consisting of macroscopic prolate, oblate…

Soft Condensed Matter · Physics 2014-08-11 Sandra Wegner , Ralf Stannarius , Axel Boese , Georg Rose , Balázs Szabó , Ellák Somfai , Tamás Börzsönyi

The formation of helium cavities in coarse-grained materials produces hardening proportional to the number density and size of the cavities and due to the interaction of dislocations with intragranular helium defects. In nanostructured…

Materials Science · Physics 2023-03-28 W. S. Cunningham , Y. Zhang , S. L. Thomas , O. El-Atwani , Y. Wang , J. R. Trelewicz

We study numerically the roughening properties of an interface in a two-dimensional Ising model with either random bonds or random fields, which are representative of universality classes where disorder acts only on the interface or also…

Statistical Mechanics · Physics 2016-04-28 Federico Corberi , Eugenio Lippiello , Marco Zannetti

Wall-roughness induces extra drag in wall-bounded turbulent flows. Mapping any given roughness geometry to its fluid dynamic behaviour has been hampered by the lack of accurate and direct measurements of skin-friction drag. Here the…

Surface roughness has a huge impact on many important phenomena. The most important property of rough surfaces is the surface roughness power spectrum C(q). We present surface roughness power spectra of many surfaces of practical…

Materials Science · Physics 2007-05-23 B. N. J. Persson , O. Albohr , U. Tartaglino , A. I. Volokitin , E. Tosatti

Unstable homoepitaxy on rough substrates is treated within a linear continuum theory. The time dependence of the surface width W(t) is governed by three length scales: The characteristic scale $l_0$ of the substrate roughness, the terrace…

Statistical Mechanics · Physics 2009-10-31 Joachim Krug , Martin Rost

Using the linearity property of the Mullins-Herring equation when the velocity is zero with a Gaussian noise, we obtain an analytic form for the global mean-square surface width and height-height correlation function. This can be used to…

Soft Condensed Matter · Physics 2009-11-13 Esmat Darvish , Amir Ali Masoudi

Basal effects have important implications for the high mobility and long runout of granular flows such as rock avalanches and landslides. However, fundamental understanding of the basal effect in granular flows remains challenging due to…

Geophysics · Physics 2021-11-02 Shuocheng Yang , Lu Jing , Chung Yee Kwok , Gengchao Yang , Yuri Dumaresq Sobral

We compare low velocity impacts that ricochet with the same impact velocity and impact angle into granular media with similar bulk density, porosity and friction coefficient but different mean grain size. The ratio of projectile diameter to…

Earth and Planetary Astrophysics · Physics 2022-01-25 Esteban Wright , Alice C. Quillen , Paul Sanchez , Stephen R. Schwartz , Miki Nakajima , Hesam Askari , Peter Miklavcic

We study numerically finite-size corrections in scaling relations for roughness distributions of various interface growth models. The most common relation, which considers the average roughness $<w_2>$ as scaling factor, is not obeyed in…

Statistical Mechanics · Physics 2009-11-13 T. J. Oliveira , F. D. A. Aarao Reis

Ferroic domain walls are known to display the characteristic scaling properties of self-affine rough interfaces. Different methods have been used to extract roughness information in ferroelectric and ferromagnetic materials. Here, we review…

Disordered Systems and Neural Networks · Physics 2021-07-22 J. Guyonnet , E. Agoritsas , P. Paruch , S. Bustingorry
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