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Owing to additive manufacturing techniques, a structure at millimeter length scale (macroscale) can be produced by using a lattice substructure at micrometer length scale (microscale). Such a system is called a metamaterial at the…

计算工程、金融与科学 · 计算机科学 2019-11-25 H. Yang , B. E. Abali , W. H. Müller , D. Timofeev

Strain gradient theory is an accurate model for capturing the size effect and localization phenomena. However, the challenge in identification of corresponding constitutive parameters limits the practical application of the theory. We…

计算工程、金融与科学 · 计算机科学 2021-12-30 Hua Yang , Bilen Emek Abali , Wolfgang H. Müller , Salma Barboura , Jia Li

Metamaterials exhibit materials response deviation from conventional elasticity. This phenomenon is captured by the generalized elasticity as a result of extending the theory at the expense of introducing additional parameters. These…

计算工程、金融与科学 · 计算机科学 2021-06-10 Bilen Emek Abali , Emilio Barchiesi

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

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

Functionally graded materials (FGMs) are two-phase composites with continuously changing microstructure adapted to performance requirements. Traditionally, the overall behavior of FGMs has been determined using local averaging techniques or…

材料科学 · 物理学 2011-08-31 Zahra Sharif-Khodaei , Jan Zeman

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

Accurate predictions of thermo-mechanically coupled process in metals can lead to a reduction of cost and an increase of productivity in manufacturing processes such as forming. For modeling these coupled processes with the finite element…

材料科学 · 物理学 2019-05-30 Jifeng Li , Ignacio Romero , Javier Segurado

We consider a linearly thermoelastic composite medium,which consists of a homogeneous matrix containing a statistically inhomogeneous random set of inclusions, when the concentration of the inclusions is a function of the coordinates…

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

Peridynamics provides a versatile tool for fracture modelling in materials where fracture pathways cannot be predicted beforehand, but must be envisaged as an emergent features of the deformation process. One class of materials where this…

材料科学 · 物理学 2025-12-18 Shucheta Shegufta , Michael Zaiser

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

In this thesis, a computational framework for microstructural modelling of transverse behaviour of heterogeneous materials is presented. The context of this research is part of the broad and active field of Computational Micromechanics,…

计算工程、金融与科学 · 计算机科学 2021-10-05 Marco Lo Cascio

In this work we briefly present a thermomechanical model that could serve as starting point for industrial applications. We address the non-linearity due to temperature dependence of material properties and heterogeneity due to presence of…

数值分析 · 数学 2022-08-25 Nirav Vasant Shah , Michele Girfoglio , Gianluigi Rozza

The layer-upon-layer approach in additive manufacturing, open or closed cells in polymeric or metallic foams involve an intrinsic microstructure tailored to the underlying applications. Homogenization of such architectured materials creates…

计算工程、金融与科学 · 计算机科学 2025-09-24 B. Cagri Sarar , M. Erden Yildizdag , Francesco Fabbrocino , B. Emek Abali

Thermoelectric metamaterials featuring width modulation through constrictions (constricted geometries) have emerged as a promising approach for improving heat management and thermoelectric performance. Through a combination of theoretical…

应用物理 · 物理学 2025-08-26 Xanthippi Zianni

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

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

It is important to accurately model materials' properties at lower length scales (micro-level) while translating the effects to the components and/or system level (macro-level) can significantly reduce the amount of experimentation required…

计算机与社会 · 计算机科学 2022-11-08 Kazuma Kobayashi , Shoaib Usman , Carlos Castano , Dinesh Kumar , Syed Alam

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

Architected metamaterials like foams and lattices exhibit complex responses governed by microstructural instabilities, localization, and phase-transition-like phenomena. Their behavior is further affected by heterogeneities inherent in…

材料科学 · 物理学 2026-04-29 Sarvesh Joshi , Jingye Tan , Craig M. Hamel , Stavros Gaitanaros , Nikolaos Bouklas
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