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We study phase field equations based on the diffuse-interface approximation of general homogeneous free energy densities showing different local minima of possible equilibrium configurations in perforated/porous domains. The study of such…

Chemical Physics · Physics 2013-10-08 Markus Schmuck , Grigorios A. Pavliotis , Serafim Kalliadasis

3D bicontinuous two-phase materials are increasingly gaining interest because of their unique multifunctional characteristics and advancements in techniques to fabricate them. Due to their complex topological and structural properties, it…

Materials Science · Physics 2024-07-09 Salvatore Torquato , Jaeuk Kim

Granular packings under constant shear stress display below the Coulomb limit, a logarithmic creep dynamics. However the addition of small stress modulations induces a linear creep regime characterized by an effective viscous response.…

Soft Condensed Matter · Physics 2016-03-23 A Pons , T Darnige , Jérôme Crassous , E Clément , Axelle Amon

We study the diffusive dynamics of a hard-sphere fluid confined between parallel smooth hard walls. The position-dependent diffusion coefficient normal to the walls is larger in regions of high local packing density. High density regions…

Soft Condensed Matter · Physics 2009-11-13 Jeetain Mittal , Thomas M. Truskett , Jeffrey R. Errington , Gerhard Hummer

Paradigmatic model systems, which are used to study the mechanical response of matter, are random networks of point-atoms, random sphere packings, or simple crystal lattices, all of these models assume central-force interactions between…

Soft Condensed Matter · Physics 2016-01-14 M. Schlegel , J. Brujic , E. M. Terentjev , A. Zaccone

Spatially dispersive (also known as non-local) electromagnetic media are considered where the parameters defining the permittivity relation vary periodically. Maxwell's equations give rise to a difference equation corresponding to the…

Classical Physics · Physics 2015-03-23 Jonathan Gratus , Matthew McCormack

This paper reports turbulent boundary layer measurements made over open-cell reticulated foams with varying pore size and thickness, but constant porosity ($\epsilon \approx 0.97$). The foams were flush-mounted into a cutout on a flat…

Fluid Dynamics · Physics 2018-03-14 Christoph Efstathiou , Mitul Luhar

A major challenge in flow through porous media is to better understand the link between microstructure and macroscale flow and transport. For idealised microstructures, the mathematical framework of homogenisation theory can be used for…

We seek the response, in particular the spectral absorptance, of a rigidly-backed periodically-(in one horizontal~~ direction) ~inhomogeneous ~layer ~composed ~of ~alternating rigid and macroscopically-homogeneous porous portions, submitted…

Applied Physics · Physics 2018-10-05 Armand Wirgin

We consider immiscible and incompressible two-phase flow in porous media under steady-state conditions using a dynamic pore network model. We focus on the fluctuations in a Representative Elementary Area (REA), with the aim to demonstrate…

Fluid Dynamics · Physics 2023-04-05 Hursanay Fyhn , Santanu Sinha , Alex Hansen

Differential shrinkage in particulate quasi-brittle materials causes microcracking which reduces durability in these materials by increasing their mass transport properties. A hydro-mechanical three-dimensional periodic network approach was…

Materials Science · Physics 2017-10-13 Ignatios Athanasiadis , Simon J. Wheeler , Peter Grassl

Based on a microscopic density functional theory we calculate the internal structure of the three-phase contact line between liquid, vapor, and a confining wall as well as the morphology of liquid wetting films on a substrate exhibiting a…

Soft Condensed Matter · Physics 2009-10-31 C. Bauer , S. Dietrich

Capillary effects such as imbibition-drying cycles impact the mechanics of granular systems over time. A multiscale poromechanics framework was applied to cement paste, that is the most common building material, experiencing broad humidity…

Soft Condensed Matter · Physics 2019-05-28 Tingtao Zhou , Katerina Ioannidou , Franz-Josef Ulm , Martin Z. Bazant , Roland J. M. Pellenq

This paper is concerned with a space-time adaptive numerical method for instationary porous media flows with nonlinear interaction between porosity and pressure, with focus on problems with discontinuous initial porosities. A convergent…

Numerical Analysis · Mathematics 2025-08-27 Markus Bachmayr , Simon Boisserée

Significant progress has been made for assessing the influence of porosity on the performance metrics for cast components through various modeling techniques. However, a computationally efficient framework to account for porosity with…

Computational Engineering, Finance, and Science · Computer Science 2022-04-05 Shiguang Deng , Carl Soderhjelm , Diran Apelian , Krishnan Suresh

The flow of amorphous solids results from a combination of elastic deformation and local structural rearrangements, which induce non-local elastic deformations. These elements are incorporated into a mechanically-consistent mesoscopic model…

Soft Condensed Matter · Physics 2015-06-12 Alexandre Nicolas , Jean-Louis Barrat

We measured the effective diffusion coefficient in regions of microfluidic networks of controlled geometry using the FRAP (Fluorescence Recovery After Photobleaching) technique. The geometry of the networks was based on Voronoi…

Biological Physics · Physics 2020-03-04 Washington Ponce , Maria Luisa Cordero

Recent numerical simulations indicate that streamwise-preferential anisotropic porous materials have the potential to reduce skin friction in turbulent flows through a similar mechanism to riblets. This paper reports particle image…

Fluid Dynamics · Physics 2020-06-02 Christoph Efstathiou , Mitul Luhar

The search for local structures within a disordered medium has led to proposals of several methods for probing transient short-range symmetry in a homogeneous mono-atomic liquid. We offer a comparison of different characterizations of such…

Soft Condensed Matter · Physics 2020-05-04 Linsey Nowack , Stuart A. Rice

We investigate the upscaling of diffusive transport parameters as function of pore scale material structure using a stochastic framework. We focus on sub-REV (representative elementary volume) scale where the complexity of pore space…

Materials Science · Physics 2021-06-21 Alraune Zech , Matthijs de Winter