In this paper a second-order homogenization approach for periodic material is derived from an appropriate representation of the down-scaling that correlates the micro-displacement field to the macrodisplacement field and the macro-strain tensors involving unknown perturbation functions. These functions take into account of the effects of the...
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2014 (v1)PublicationUploaded on: April 14, 2023
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2013 (v1)Publication
The paper is focused on the multi-scale modeling of shear banding in two-pha se linear elastic period-ically layered strip with damaging interfaces.A two-dimensional layered strip is considered subjected to transverse shear and is assumed to have afinitethickness along the direction of the layers and an infinite extension along the direction...
Uploaded on: March 27, 2023 -
2022 (v1)Publication
New avant-garde architected materials endowed with extreme stiffness, strength and lightness may be conceived through appropriate choices of the microstructural topology, mostly aimed at optimizing the periodic distribution between the solid phases and the voids. Moreover, microstructure topologies may be designed to maximize exotic mechanical...
Uploaded on: February 4, 2024 -
2022 (v1)Publication
Mechanical metamaterials composed of a non dissipative periodic microstructure of flexible ligaments and stiff rings, viscoelastically coupled with local resonators, are considered. By following a variational approach, the linear damped dynamics are described according to a beam lattice formulation, valid for a generic coordination number. A...
Uploaded on: May 13, 2023 -
2016 (v1)Publication
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 macroscopic displacements, temperature and chemical potential are introduced. The effects of the material...
Uploaded on: April 14, 2023 -
2014 (v1)Publication
The focus of the article is on the analysis of effective elastic properties of planar Solid Oxide Fuel Cell (SOFC) devices. An ideal periodic multi-layered composite (SOFC-like) reproducing the overall properties of multi-layer SOFC devices is defined. Adopting a non-local dynamic homogenization method, explicit expressions for overall elastic...
Uploaded on: March 27, 2023 -
2016 (v1)Publication
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 homogenization procedure is applied in order to express the overall thermoelastic constants of the first order...
Uploaded on: April 14, 2023 -
2019 (v1)Publication
Acoustic metamaterials are artificial microstructured media, typically characterized by a periodic locally resonant cell. The cellular microstructure can be functionally customized to govern the propagation of elastic waves. A one-dimensional diatomic lattice with cubic inter-atomic coupling—described by a Lagrangian model—is assumed as minimal...
Uploaded on: March 27, 2023 -
2020 (v1)Publication
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 obtained in closed form. These lasts depend upon the micro constitutive properties of the different phases...
Uploaded on: April 14, 2023 -
2018 (v1)Publication
Recently, an increasing research effort has been dedicated to analyse transmission and dispersion properties of periodic metamaterials containing resonators, and to optimize the amplitude of selected acoustic band gaps between consecutive dispersion curves in the Floquet-Bloch spectrum. Potential novel applications of this research are in the...
Uploaded on: April 14, 2023 -
2018 (v1)Publication
Multi-field asymptotic homogenization methods are proposed to describe the behaviour of periodic Cauchy materials subject to several physical phenomena, focusing on thermodiffusion. The resulting homogenized models provide the overall constitutive tensors and overall inertial terms. Moreover, they allow one to investigate the complex band...
Uploaded on: April 14, 2023 -
2022 (v1)Publication
The mechanical behaviour of periodic three-dimensional nonhomogeneous solids can be functionally designed by optimizing their cellular composite microstructure. The present contribution aims at establishing a theoretical and methodological framework to determine the dispersion properties of periodicCauchy materials, characterized by a generic...
Uploaded on: February 4, 2024 -
2024 (v1)Publication
This paper deals with the free propagation problem of resonant and close-to-resonance waves in one-dimensional lattice metamaterials endowed with nonlinearly viscoelastic resonators. The resonators' constitutive and geometric nonlinearities imply a cubic coupling with the lattice. The analytical treatment of the nonlinear wave propagation...
Uploaded on: July 3, 2024 -
2022 (v1)Publication
The cellular microstructure of periodic architected materials can be enriched by local intracellular mechanisms providing innovative distributed functionalities. Specifically, high-performing mechanical metamaterials can be realized by coupling the low-dissipative cellular microstructure with a periodic distribution of tunable damped...
Uploaded on: April 14, 2023