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A Refined Finite Element Formulation for the Microstructure-Dependent Analysis of Two-Dimensional (2D) Lattice Materials

A finite element approximation is proposed for the dynamic analysis of two-dimensional (2D) lattice materials. The unit cell is modeled by means of a defined number of shear deformable micro-beams. The main innovative feature concerns the presence of a microstructure-dependent scale length, which al...

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Detalles Bibliográficos
Autores principales: Mancusi, Geminiano, Feo, Luciano
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2012
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5452127/
https://www.ncbi.nlm.nih.gov/pubmed/28809291
http://dx.doi.org/10.3390/ma6010001
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author Mancusi, Geminiano
Feo, Luciano
author_facet Mancusi, Geminiano
Feo, Luciano
author_sort Mancusi, Geminiano
collection PubMed
description A finite element approximation is proposed for the dynamic analysis of two-dimensional (2D) lattice materials. The unit cell is modeled by means of a defined number of shear deformable micro-beams. The main innovative feature concerns the presence of a microstructure-dependent scale length, which allows the consideration of the so called size-effect that can be highly relevant, due to the characteristics of the lattice at the local scale. Some numerical results show the influence of the microstructure parameter on the dynamic behavior of two-dimensional lattice materials.
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spelling pubmed-54521272017-07-28 A Refined Finite Element Formulation for the Microstructure-Dependent Analysis of Two-Dimensional (2D) Lattice Materials Mancusi, Geminiano Feo, Luciano Materials (Basel) Article A finite element approximation is proposed for the dynamic analysis of two-dimensional (2D) lattice materials. The unit cell is modeled by means of a defined number of shear deformable micro-beams. The main innovative feature concerns the presence of a microstructure-dependent scale length, which allows the consideration of the so called size-effect that can be highly relevant, due to the characteristics of the lattice at the local scale. Some numerical results show the influence of the microstructure parameter on the dynamic behavior of two-dimensional lattice materials. MDPI 2012-12-20 /pmc/articles/PMC5452127/ /pubmed/28809291 http://dx.doi.org/10.3390/ma6010001 Text en © 2013 by the authors; licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution license (http://creativecommons.org/licenses/by/3.0/).
spellingShingle Article
Mancusi, Geminiano
Feo, Luciano
A Refined Finite Element Formulation for the Microstructure-Dependent Analysis of Two-Dimensional (2D) Lattice Materials
title A Refined Finite Element Formulation for the Microstructure-Dependent Analysis of Two-Dimensional (2D) Lattice Materials
title_full A Refined Finite Element Formulation for the Microstructure-Dependent Analysis of Two-Dimensional (2D) Lattice Materials
title_fullStr A Refined Finite Element Formulation for the Microstructure-Dependent Analysis of Two-Dimensional (2D) Lattice Materials
title_full_unstemmed A Refined Finite Element Formulation for the Microstructure-Dependent Analysis of Two-Dimensional (2D) Lattice Materials
title_short A Refined Finite Element Formulation for the Microstructure-Dependent Analysis of Two-Dimensional (2D) Lattice Materials
title_sort refined finite element formulation for the microstructure-dependent analysis of two-dimensional (2d) lattice materials
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5452127/
https://www.ncbi.nlm.nih.gov/pubmed/28809291
http://dx.doi.org/10.3390/ma6010001
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