A New Methodology to Establish Upper Bounds on Open-Cell Foams Homogenized Properties

A New Methodology to Establish Upper Bounds on Open-Cell Foams Homogenized Properties

The methodology for determining the upper bounds on the homogenized linear elastic properties of cellular solids, described for the two-dimensional case in Dimitrovová and Faria (1999), is extended to three-dimensional open-cell foams. Besides the upper bounds, the methodology provides necessary and...

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Main Author: Z. Dimitrovová
Format: Article
Language:English
Published: CTU Central Library 2004-01-01
Series:Acta Polytechnica
Subjects:
upper bounds on effective properties
open-cell foams
homogenization techniques
energy methods
optimization
optimal microstructures
Online Access:https://ojs.cvut.cz/ojs/index.php/ap/article/view/652
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spelling doaj-49cb82e95c384f4a9fee582918c831842020-11-24T22:30:25ZengCTU Central LibraryActa Polytechnica1210-27091805-23632004-01-01445-6652A New Methodology to Establish Upper Bounds on Open-Cell Foams Homogenized PropertiesZ. DimitrovováThe methodology for determining the upper bounds on the homogenized linear elastic properties of cellular solids, described for the two-dimensional case in Dimitrovová and Faria (1999), is extended to three-dimensional open-cell foams. Besides the upper bounds, the methodology provides necessary and sufficient conditions on optimal media. These conditions are written in terms of generalized internal forces and geometrical parameters. In some cases dependence on internal forces can be replaced by geometrical expressions. In such cases, the optimality of some medium under consideration can be verified directly from the microstructure, without any additional calculation. Some of the bounds derived in this paper are published for the first time, along with a proof of their optimality. https://ojs.cvut.cz/ojs/index.php/ap/article/view/652upper bounds on effective propertiesopen-cell foamshomogenization techniquesenergy methodsoptimizationoptimal microstructures
collection DOAJ
language English
format Article
sources DOAJ
author Z. Dimitrovová
spellingShingle Z. Dimitrovová
A New Methodology to Establish Upper Bounds on Open-Cell Foams Homogenized Properties
Acta Polytechnica
upper bounds on effective properties
open-cell foams
homogenization techniques
energy methods
optimization
optimal microstructures
author_facet Z. Dimitrovová
author_sort Z. Dimitrovová
title A New Methodology to Establish Upper Bounds on Open-Cell Foams Homogenized Properties
title_short A New Methodology to Establish Upper Bounds on Open-Cell Foams Homogenized Properties
title_full A New Methodology to Establish Upper Bounds on Open-Cell Foams Homogenized Properties
title_fullStr A New Methodology to Establish Upper Bounds on Open-Cell Foams Homogenized Properties
title_full_unstemmed A New Methodology to Establish Upper Bounds on Open-Cell Foams Homogenized Properties
title_sort new methodology to establish upper bounds on open-cell foams homogenized properties
publisher CTU Central Library
series Acta Polytechnica
issn 1210-2709
1805-2363
publishDate 2004-01-01
description The methodology for determining the upper bounds on the homogenized linear elastic properties of cellular solids, described for the two-dimensional case in Dimitrovová and Faria (1999), is extended to three-dimensional open-cell foams. Besides the upper bounds, the methodology provides necessary and sufficient conditions on optimal media. These conditions are written in terms of generalized internal forces and geometrical parameters. In some cases dependence on internal forces can be replaced by geometrical expressions. In such cases, the optimality of some medium under consideration can be verified directly from the microstructure, without any additional calculation. Some of the bounds derived in this paper are published for the first time, along with a proof of their optimality. 
topic upper bounds on effective properties
open-cell foams
homogenization techniques
energy methods
optimization
optimal microstructures
url https://ojs.cvut.cz/ojs/index.php/ap/article/view/652
work_keys_str_mv AT zdimitrovova anewmethodologytoestablishupperboundsonopencellfoamshomogenizedproperties
AT zdimitrovova newmethodologytoestablishupperboundsonopencellfoamshomogenizedproperties
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