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In this paper an asymptotic homogenization method for the analysis of composite materials with periodic microstructure in presence of thermodiffusion is described. Appropriate down-scaling relations correlating the microscopic fields to the…

Mathematical Physics · Physics 2015-12-31 A. Bacigalupo , L. Morini , A. Piccolroaz

Constitutive equations are derived for the viscoelastic behavior of filled elastomers at isothermal loading with finite strains. A particle-reinforced rubber is thought of as a composite where regions with low concentrations of junctions…

Materials Science · Physics 2009-11-07 Aleksey D. Drozdov , Al Dorfmann

When stressed sufficiently, solid materials yield and deform plastically via reorganization of microscopic constituents. Indeed, it is possible to alter the micro-structure of materials by judicious application of stress, an empirical pro-…

Soft Condensed Matter · Physics 2021-08-09 K. L. Galloway , Xiaoguang Ma , Nathan C. Keim , Douglas J. Jerolmack , Arjun G. Yodh , Paulo E. Arratia

Photoelasticity is employed to investigate the stress state near stiff rectangular and rhombohedral inclusions embedded in a 'soft' elastic plate. Results show that the singular stress field predicted by the linear elastic solution for the…

Soft Condensed Matter · Physics 2014-04-04 Diego Misseroni , Francesco Dal Corso , Summer Shahzad , Davide Bigoni

This study explores the role that the microstructure plays in determining the macroscopic static response of porous elastic continua and exposes the occurrence of position-dependent nonlocal effects that are strictly correlated to the…

Materials Science · Physics 2022-09-30 Sansit Patnaik , Mehdi Jokar , Wei Ding , Fabio Semperlotti

This paper investigates density driven flow in porous media, focusing on the roles of viscosity contrast, density contrast, and linear adsorption. In this setup, the fluid on top is heavier and more viscous than the fluid below. Under the…

Analysis of PDEs · Mathematics 2026-01-27 Sahil Kundu , Amiya K. Pani , Manoranjan Mishra

The paper presents a short overview of the theoretical, numerical and experimental works on the critical behavior of a dilute polymer solution of long-flexible polymer chains confined in semi-infinite space restricted by a surface or in a…

Soft Condensed Matter · Physics 2018-01-08 Zoryana Usatenko , Krzysztof S. Danel

A field theory is presented for predicting damage and fracture in quasi brittle materials incorporating effects of irreversible (plastic) deformation as well as elastic moduli that soften with damage. The new observation made here is that…

Materials Science · Physics 2026-03-17 Hayden Bromley , Robert Lipton

We consider mechanics of composite materials in which thin inclusions are modeled by lower-dimensional manifolds. By successively applying the dimensional reduction to junctions and intersections within the material, a geometry of…

Numerical Analysis · Mathematics 2019-03-06 Wietse M. Boon , Jan M. Nordbotten

We study the phase behavior of a symmetric binary polymer blend which is confined into a thin film. The film surfaces interact with the monomers via short range potentials. We calculate the phase behavior within the self-consistent field…

Statistical Mechanics · Physics 2009-10-31 M. Mueller , E. V. Albano , K. Binder

Disordered solids, straddling the solid-fluid boundary, lack a comprehensive continuum mechanical description. They exhibit a complex microstructure wherein multiple meta-stable states exist. Deforming disordered solids induces particles…

Soft Condensed Matter · Physics 2024-04-23 Yael Cohen , Amit Schiller , Dong Wang , Joshua Dijksman , Michael Moshe

This paper proposes a computational framework for the design optimization of stable structures under large deformations by incorporating nonlinear buckling constraints. A novel strategy for suppressing spurious buckling modes related to…

Computational Engineering, Finance, and Science · Computer Science 2023-06-07 Guodong Zhang , Kapil Khandelwal , Tong Guo

Using numerical simulations, we study the dynamical evolution of particles interacting via competing long-range repulsion and short-range attraction in two dimensions. The particles are compressed using a time-dependent quasi-one…

Soft Condensed Matter · Physics 2017-12-06 D. McDermott , C. J. Olson Reichhardt , C. Reichhardt

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

A theory is developed for evaluation of nonlinear elastic moduli of composite materials with nonlinear inclusions dispersed in another nonlinear material (matrix). We elaborate a method aimed for determination of elastic parameters of a…

Disordered Systems and Neural Networks · Physics 2020-02-03 A. A. Semenov , Y. M. Beltukov

Low-frequency simulations of a one-layer model with lateral buoyancy variations (i.e., thermodynamically active) have revealed circulatory motions resembling quite closely submesoscale observations in the surface ocean rather than…

Atmospheric and Oceanic Physics · Physics 2021-04-14 F. J. Beron-Vera

We study theoretically and numerically how hard frictionless particles in random packings can rearrange. We demonstrate the existence of two distinct unstable non-linear modes of rearrangement, both associated with the opening and the…

Soft Condensed Matter · Physics 2014-11-19 Edan Lerner , Gustavo Düring , Matthieu Wyart

This work examines the mechanical behavior of three-layer plates with a tetrachiral honeycomb core and solid face layers under static bending conditions. The influence of discretization, relative density, and thickness of the honeycomb core…

Numerical Analysis · Mathematics 2025-10-15 A. V. Mazaev

We propose a dynamical theory of low-temperature shear deformation in amorphous solids. Our analysis is based on molecular-dynamics simulations of a two-dimensional, two-component noncrystalline system. These numerical simulations reveal…

Statistical Mechanics · Physics 2009-10-30 M. L. Falk , J. S. Langer

In the analysis of composite materials with heterogeneous microstructures, full resolution of the heterogeneities using classical numerical approaches can be computationally prohibitive. This paper presents a micromechanics-enhanced finite…

Materials Science · Physics 2011-11-08 J. Novák , Ł. Kaczmarczyk , P. Grassl , J. Zeman , C. J. Pearce
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