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Present work attempts to identify the roles of flow- and geometric-variables on the scaling factor which is a necessary parameter for modeling the apparent viscosity of non-Newtonian fluid in porous media. While idealizing the porous media…

Fluid Dynamics · Physics 2021-02-11 Jithin M. , Nimish Kumar , Ashoke De , Malay K. Das

The Carlson-Langer model is a deterministic model of earthquakes. There were many investigations of this model, but its complicated spatio-temporal dynamics is not yet completely understood. We again study the model equation numerically,…

Geophysics · Physics 2015-06-17 Hidetsugu Sakaguchi , Shingo Morita

The buckling instability of micro- and nanopillars can be an issue when designing intelligent miniaturized devices and characterizing composite materials reinforced with beam-like particles on the small-scale. Analytical modeling of the…

Soft Condensed Matter · Physics 2023-12-08 Hossein Darban , Raimondo Luciano , Michał Basista

Soil liquefaction is a significant natural hazard associated with earthquakes. Some of its devastating effects include tilting and sinking of buildings and bridges, and destruction of pipelines. Conventional geotechnical engineering…

Geophysics · Physics 2018-02-14 Cécile Clément , Renaud Toussaint , Einat Aharanov

The influence of the microstructural geometry on the behavior of porous media is widely recognized, particularly in geomaterials, but also in biomaterials and engineered materials. Recent advances in imaging techniques, such as X-ray…

Soft Condensed Matter · Physics 2021-07-01 Alexandre Guével , Hadrien Rattez , Manolis Veveakis

Subsurface storage of CO2 is predicted to rise exponentially in response to the increasing levels of CO2 in the atmosphere. Large-scale CO2 injections into the subsurface require understanding of the potential for fluid flow through faults…

Geophysics · Physics 2022-05-12 Runar L. Berge , Sarah E. Gasda , Eirik Keilegavlen , Tor Harald Sandve

The macroscopic spreading and mixing of solute plumes in saturated porous media is ultimately controlled by processes operating at the pore scale. Whilst the conventional picture of pore-scale mechanical dispersion and molecular diffusion…

Fluid Dynamics · Physics 2020-04-24 D. R. Lester , M. G. Trefry , Guy Metcalfe

In this paper we model the size-effects of metamaterial beams under bending with the aid of the relaxed micromorphic continuum. We analyze first the size-dependent bending stiffness of heterogeneous fully discretized metamaterial beams…

Numerical Analysis · Mathematics 2024-05-17 Mohammad Sarhil , Lisa Scheunemann , Jörg Schröder , Patrizio Neff

In Part I of this set of two papers, a model of mesoscopic plasticity is developed for studying initial-boundary value problems of small scale plasticity. Here we make qualitative, finite element method-based computational predictions of…

Materials Science · Physics 2016-08-31 Anish Roy , Amit Acharya

Cohesive powders form agglomerates that can be very porous. Hence they are also very fragile. Consider a process of complete fragmentation on a characteristic length scale $\ell$, where the fragments are subsequently allowed to settle under…

Statistical Mechanics · Physics 2009-09-10 Dietrich E. Wolf , Thorsten Poeschel , Thomas Schwager , Alexander Weuster , Lothar Brendel

The precise mechanisms underlying the failure of multi-phase materials may be strongly dependent on the material's microstructural morphology. Micromechanical modeling has provided much insight into this dependence, but uncertainties remain…

Materials Science · Physics 2016-04-14 T. W. J. de Geus , R. H. J. Peerlings , M. G. D. Geers

The first study of the effect of the initial microstructure on its evolution under hydrostatic compression before, during, and after the irreversible $\alpha\rightarrow\omega$ phase transformation and during pressure release in Zr using in…

Materials Science · Physics 2024-02-23 K. K. Pandey , Valery I. Levitas , Changyong Park , Guoyin Shen

The structural evolution of a nano-powder by repeated dispersion and settling can lead to characteristic fractal substructures. This is shown by numerical simulations of a two-dimensional model agglomerate of adhesive rigid particles. The…

Materials Science · Physics 2009-11-13 Thomas Schwager , Dietrich E. Wolf , Thorsten Poeschel

We study the phase behavior of multicomponent lipid bilayer vesicles that can exhibit intriguing morphological patterns and lateral phase separation. We use a modified Landau-Ginzburg model capable of describing spatially uniform phases,…

Soft Condensed Matter · Physics 2018-06-22 Yongtian Luo , Lutz Maibaum

As a generic model for liquid-vapour type transitions in random porous media, the Asakura-Oosawa model for colloid-polymer mixtures is studied in a matrix of quenched spheres using extensive Monte Carlo (MC) simulations. Since such systems…

Soft Condensed Matter · Physics 2009-11-13 R. L. C. Vink , K. Binder , H. Loewen

We use interface-resolved simulations to study finite-size effects in turbulent channel flow of neutrally-buoyant spheres. Two cases with particle sizes differing by a factor of 2, at the same solid volume fraction of 20% and bulk Reynolds…

Fluid Dynamics · Physics 2021-02-23 Pedro Costa , Francesco Picano , Luca Brandt , Wim-Paul Breugem

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…

Optimization and Control · Mathematics 2012-08-29 Lucia Scardia , Ron H. J. Peerlings , Mark A. Peletier , Marc G. D. Geers

We report a similarity between the microscopic parameter dependance of emergent theories in physics and that of multiparameter models common in other areas of science. In both cases, predictions are possible despite large uncertainties in…

Statistical Mechanics · Physics 2014-03-05 Benjamin B. Machta , Ricky Chachra , Mark K. Transtrum , James P. Sethna

Wet granular materials in a quasi-static steady state shear flow have been studied with discrete particle simulations. Macroscopic quantities, consistent with the conservation laws of continuum theory, are obtained by time averaging and…

Soft Condensed Matter · Physics 2015-06-23 Sudeshna Roy , Abhinendra Singh , Stefan Luding , Thomas Weinhart

Porosity and dimension are two useful, but different, concepts that quantify the size of fractal sets and measures. An active area of research concerns understanding the relationship between these two concepts. In this article we will…

Classical Analysis and ODEs · Mathematics 2013-03-19 Pablo Shmerkin