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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…

数学物理 · 物理学 2015-12-31 A. Bacigalupo , L. Morini , A. Piccolroaz

A non-local dynamic homogenization technique for the analysis of a viscoelastic heterogeneous material which displays a periodic microstructure is herein proposed. The asymptotic expansion of the micro-displacement field in the transformed…

应用物理 · 物理学 2018-11-26 Rosaria Del Toro , Andrea Bacigalupo , Marco Paggi

This study proposes a multi-field asymptotic homogenization for the analysis of thermo-piezoelectric materials with periodic microstructures. The effect of the microstructural heterogeneity is taken into account by means of periodic…

材料科学 · 物理学 2017-01-13 Francesca Fantoni , Andrea Bacigalupo , Marco Paggi

A multifield asymptotic homogenization technique for periodic thermo-diffusive elastic materials is provided in the present study. Field equations for the first-order equivalent medium are derived and overall constitutive tensors are…

流体动力学 · 物理学 2020-02-27 Francesca Fantoni , Andrea Bacigalupo

This article presents a multifield asymptotic homogenization scheme for the analysis of Bloch wave propagation in non-standard thermoelastic periodic materials, leveraging on the Green-Linsdsay theory that accounts for two relaxation times.…

数学物理 · 物理学 2023-08-10 Rosaria Del Toro , Maria Laura De Bellis , Marcello Vasta , Andrea Bacigalupo

In this paper a second-order homogenization approach for periodic material is derived from an appropriate representation of the down-scaling that correlates the microdisplacement field to the macro-displacement field and the macro-strain…

材料科学 · 物理学 2014-01-31 Andrea Bacigalupo

This paper is concerned with the analysis of effective thermomechanical properties of multi- layered materials of interest for solid oxide fuel cells (SOFC) and lithium ions batteries fabrication. The recently developed asymptotic…

材料科学 · 物理学 2016-08-04 A. Bacigalupo , L. Morini , A. Piccolroaz

The dynamic behaviour of periodic thermodiffusive multi-layered media excited by harmonic oscillations is studied. In the framework of linear thermodiffusive elasticity, periodic laminates, whose elementary cell is composed by an arbitrary…

计算工程、金融与科学 · 计算机科学 2021-10-06 Francesca Fantoni , Lorenzo Morini , Andrea Bacigalupo , Marco Paggi

Asymptotic homogenisation is used to systematically derive reduced-order macroscopic models of conductive behaviour in spirally-wound layered materials in which the layers have very different conductivities. The problem is motivated by the…

应用物理 · 物理学 2020-11-10 Steven Psaltis , Robert Timms , Colin Please , S. Jonathan Chapman

Elliptic homogenization is used to determine coarse-grained properties of materials with features on small scales for heat transfer and elasticity. When microstructural features of a material have rapid, periodic fluctuations, the solution…

偏微分方程分析 · 数学 2026-03-17 Conor Rowan

Diffusion behaviors of heterogeneous materials are of paramount importance in many engineering problems. Numerical models that take into account the internal structure of such materials are robust but computationally very expensive. This…

数值分析 · 数学 2023-12-18 Jan Eliáš , Hao Yin , Gianluca Cusatis

This paper presents a homogenization framework for elastomeric metamaterials exhibiting long-range correlated fluctuation fields. Based on full-scale numerical simulations on a class of such materials, an ansatz is proposed that allows to…

软凝聚态物质 · 物理学 2018-10-29 O. Rokoš , M. M. Ameen , R. H. J. Peerlings , M. G. D. Geers

One considers linearly thermoelastic composite media, which consist of a homogeneous matrix containing a statistically homogeneous random set of ellipsoidal uncoated or coated inclusions. Effective properties (such as compliance and thermal…

材料科学 · 物理学 2009-12-22 Valeriy A. Buryachenko

This study proposes a high-order multi-scale method tailored for time-dependent nonlinear thermo-electro-mechanical coupling problems of composite structures with highly spatial heterogeneity, which incorporate temperature-dependent…

数值分析 · 数学 2026-04-22 Hao Dong

We study the asymptotic behavior of thin heterogeneous elastoplastic plates in the framework of linearized elastoplasticity, focusing on the regime where the plate thickness vanishes much faster than the characteristic scale of the…

偏微分方程分析 · 数学 2026-05-14 Marin Bužančić , Igor Velčić , Josip Žubrinić

The asymptotic expansion method is generalized from the periodic setting to stationary ergodic stochastic geometries. This will demonstrate that results from periodic asymptotic expansion also apply to non-periodic structures of a certain…

数学物理 · 物理学 2015-03-17 Martin Heida

The two-scale computational homogenization method is proposed for modelling of locally periodic fluid-saturated media subjected a to large deformation induced by quasistatic loading. The periodic heterogeneities are relevant to the…

数值分析 · 数学 2022-02-11 Vladimír Lukeš , Eduard Rohan

A complete methodology, based on a two-scale asymptotic approach, that enables the homogenisation of elastic lattices at non-zero frequencies is developed. Elastic lattices are distinguished from scalar lattices in that two or more types of…

经典物理 · 物理学 2014-07-09 D. J. Colquitt , R. V. Craster , M. Makwana

We carry out the homogenization of time-harmonic Maxwell's equations in a periodic, layered structure made of two-dimensional (2D) metallic sheets immersed in a heterogeneous and in principle anisotropic dielectric medium. In this setting,…

偏微分方程分析 · 数学 2020-03-31 Matthias Maier , Dionisios Margetis , Antoine Mellet

A heterogeneous Cauchy elastic material may display micromechanical effects that can be modeled in a homogeneous equivalent material through the introduction of higher-order elastic continua. Asymptotic homogenization techniques provide an…

计算物理 · 物理学 2018-04-20 A. Bacigalupo , M. Paggi , F. Dal Corso , D. Bigoni
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