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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 multiscale asymptotic homogenization method for periodic microstructured materials in presence of thermoelasticity with periodic spatially dependent one relaxation time is introduced. The asymptotic expansions of the micro-displacement…

材料科学 · 物理学 2021-04-12 Deison Préve , Andrea Bacigalupo , Marco Paggi

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

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

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

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

In the present work, the evolution of damage in periodic composite materials is investigated through a novel finite element-based multiscale computational approach. The methodology is developed by means of the original combination of…

数值分析 · 数学 2019-08-09 Francesca Fantoni , Andrea Bacigalupo , Marco Paggi , Josè Reinoso

We present a formulation for high-order generalized periodicity conditions in the context of a high-order electromechanical theory including flexoelectricity, strain gradient elasticity and gradient dielectricity, with the goal of studying…

数值分析 · 数学 2023-11-15 J. Barceló-Mercader , D. Codony , A. Mocci , I. Arias

In the present paper, a new three-scale asymptotic homogenization method is proposed to study the electrical behavior of the cardiac tissue structure with multiple heterogeneities at two different levels. The first level is associated with…

偏微分方程分析 · 数学 2022-01-11 Fakhrielddine Bader , Mostafa Bendahmane , Mazen Saad , Raafat Talhouk

The paper is devoted to the homogenization of porous piezoelectric materials saturated by electrically inert fluid. The solid part of a representative volume element consists of the piezoelectric skeleton with embedded conductors. The pore…

计算物理 · 物理学 2018-08-01 Eduard Rohan , Vladimír Lukeš

Here homogenization theory is used to establish a connection between the symmetries of a periodic elastic structure associated with the microscopic properties of an elastic material and the material symmetries of the effective, macroscopic…

数学物理 · 物理学 2015-12-29 Mariya Ptashnyk , Brian Seguin

In this paper, we focus on multi-scale modeling and simulation of piezoelectric composite materials. A multi-scale model for piezoelectric composite materials under the framework of Heterogeneous Multi-scale Method(HMM) is proposed. For…

数学物理 · 物理学 2014-02-18 Qian Zhang , Xingye Yue

The homogenization of auxetic cellular solids having periodic hexachiral and tetrachiral microstructure is dealt with two different techniques. The first approach is based on the representation of the cellular solid as a beam-lattice to be…

材料科学 · 物理学 2014-04-16 Andrea Bacigalupo , Luigi Gambarotta

The paper extends and enhances in several ways the recently proposed homogenization theory of metamaterials [J. Opt. Soc. Am. B 28, 577 (2011)]. The theory is based on a direct analysis of fields in the lattice cells rather than on an…

介观与纳米尺度物理 · 物理学 2011-06-17 Igor Tsukerman

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

The use of integrated MicroElectroMechanical systems (MEMS) is recently spread thanks to their improved sensitivity, accuracy and reliability. Accurate preliminary computations born from the need of high precision in the manufacturing…

应用物理 · 物理学 2018-03-15 Francesca Fantoni , Andrea Bacigalupo , Marco Paggi

In this work, we develop a new systematic and self-consistent approach to homogenize arbitrary non-magnetic periodic metamaterials. The proposed method does not rely on the solution of an eigenvalue problem and can fully characterize the…

材料科学 · 物理学 2015-06-25 Mario G. Silveirinha

We are interested in the homogenization of elastic-electric coupling equation, with rapidly oscillating coefficients, in periodically perforated piezoelectric body. We justify the two first terms in the usual asymptotic development of the…

数值分析 · 数学 2007-09-10 Mechkour Houari

We present a new algorithm to design lightweight cellular materials with required properties in a multi-physics context. In particular, we focus on a thermo-mechanical setting, by promoting the design of unit cells characterized both by an…

计算工程、金融与科学 · 计算机科学 2022-02-21 Matteo Gavazzoni , Nicola Ferro , Simona Perotto , Stefano Foletti
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