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This study investigates the influence of fiber spatial distribution on the transverse mechanical properties of unidirectionally reinforced continuous-fiber composites. A Swelling & Random Migration algorithm was employed to generate…

Computational Engineering, Finance, and Science · Computer Science 2026-05-28 Sergejs Tarasovs , Janis Modniks , Andrea Bercini Martins , Christina Scheffler , Janis Andersons

We simulate a hard-sphere liquid in confined geometry where the separation of the two parallel, hard walls is smaller than two particle diameters. By systematically reducing the wall separation we analyze the behavior of structural and…

Soft Condensed Matter · Physics 2022-08-18 Gerhard Jung , Thomas Franosch

This paper advances an analytical incremental contact model for the purely elastic or elastic-perfectly plastic Gaussian rough surfaces. The contact is modelled by the accumulation of identical circular contacts with radius given by the…

Materials Science · Physics 2022-04-06 Sihe Wang , Weike Yuan , Xuanming Liang , Gangfeng Wang

The propagation of acoustic waves in a poro-elastic medium of infinite extension containing spherical cavities randomly distributed is investigated. The scattering coefficients are computed in the low frequency limit using the sealed pore…

Fluid Dynamics · Physics 2022-06-15 Dossou Gnadjro , Amah D'Almeida , Hervé Franklin

We present an effective-medium model for calculating the frequency-dependent effective permittivity $\epsilon(\omega)$ and permeability $\mu(\omega)$ of metamaterial composites containing spherical particles with arbitrary permittivity and…

Optics · Physics 2014-05-01 Brian A. Slovick , Zhi Gang Yu , Srini Krishnamurthy

Classically, the mechanical response of materials is described through constitutive models, often in the form of constrained ordinary differential equations. These models have a very limited number of parameters, yet, they are extremely…

Machine Learning · Computer Science 2022-09-27 Ehsan Haghighat , Sahar Abouali , Reza Vaziri

Algebraic expressions are found for the effective conductivities of some infinite tessellations composed of conducting square, triangular, or hexagonal tiles. A tessellation is further characterized by the number N of different colors…

General Physics · Physics 2024-02-20 Clinton DeW. Van Siclen

An effective medium theory for resonant and non-resonant metamaterials for flexural waves in thin plates is presented. The theory provides closed-form expressions for the effective parameters of arrangement of inclusions or resonators in…

Materials Science · Physics 2014-10-08 Daniel Torrent , Yan Pennec , Bahram Djafari-Rouhani

A method for modeling the full steady-state and small-signal behavior of practical capacitive structures, such as metal-insulator-metal capacitors, diodes, and transistors, is presented. Simple lumped element models fail to properly…

Materials Science · Physics 2025-09-29 James G. Champlain , Vikrant J. Gokhale , Matthew T. Hardy , Eric N. Jin

Theoretical concepts in condensed matter physics are typically verified and also developed by exploiting computer simulations mostly in simple models. Predictions based on these usually isotropic models are often at odds with measurement…

Soft Condensed Matter · Physics 2020-11-13 K. Koperwas , A. Grzybowski , M. Paluch

Open cell foams have diverse industrial applications e.g. heat exchangers, structured reactors, filtration due to their unique properties such as high porosity and high specific surface area. In order to theoretically determine the…

Materials Science · Physics 2015-01-23 Prashant Kumar

Diffusion-driven patterns appear on curved surfaces in many settings, initiated by unstable modes of an underlying Laplacian operator. On a flat surface or perfect sphere, the patterns are degenerate, reflecting translational/rotational…

Soft Condensed Matter · Physics 2025-09-09 John R. Frank , Jemal Guven , Mehran Kardar , Leyna Shackleton

An approach to the mechanical behaviour of textile composites at the scale of their constituting fibres, using an implicit finite element simulation code, is proposed in this chapter. The approach is based on efficient methods and…

General Physics · Physics 2012-01-24 Damien Durville

In the manufacturing process of a filler-reinforced composite, the fillers in the matrix are aligned due to the shear flow occurring during the drawing stage, and the interface between the matrix and the fillers form various imperfections…

Materials Science · Physics 2018-05-15 Sangryun Lee , Seunghwa Ryu

Model sets (also called cut and project sets) are generalizations of lattices, and multi-component model sets are generalizations of lattices with colourings. In this paper, we study self-similarities of multi-component model sets. The main…

Mathematical Physics · Physics 2007-05-23 Michael Baake , Robert V. Moody

Understanding and controlling the shape of thin, soft objects has been the focus of significant research efforts among physicists, biologists, and engineers in the last decade. These studies aim to utilize advanced materials in novel,…

Soft Condensed Matter · Physics 2015-06-02 Matteo Pezzulla , Steven A. Shillig , Paola Nardinocchi , Douglas P. Holmes

This paper studies pattern formations in coupled elliptic PDE systems governed by transparent boundary conditions. Such systems unify diverse areas, including inverse boundary problems (via a single passive/active boundary measurement),…

Analysis of PDEs · Mathematics 2025-07-22 Huaian Diao , Hongyu Liu , Qingle Meng , Li Wang

Electrical conductivity is one of the most commonly used geophysical method for reservoir and environmental studies. Its main interest lies in its sensitivity to key properties of storage and transport in porous media. Its quantitative use…

Geophysics · Physics 2019-08-29 Luong Duy Thanh , Damien Jougnot , Phan Van Do , Nguyen Van Nghia A

A new kind of composite were manufactured by densification of co-crumpled aluminium and tantalum thin foils using close die compression. It was shown by optical micrography that its microstructure is highly interlocked. The morphology was…

Materials Science · Physics 2022-03-01 Olivier Bouaziz , Yuri Estrin , Roman Kulagyn , Ian Beygelzimer

The random-cluster model, a correlated bond percolation model, unifies a range of important models of statistical mechanics in one description, including independent bond percolation, the Potts model and uniform spanning trees. By…

Statistical Mechanics · Physics 2016-01-28 Eren Metin Elçi , Martin Weigel , Nikolaos G. Fytas