Scaling of compression strength in disordered solids: metallic foams

The scaling of compression strength with porosity for aluminium foams was investigated. The Al 99.96, AlMg1Si0.6 and AlSi11Mg0.6 foams of various porosity, sample size with and without surface skin were tested in compression. It was observed that the compression strength of aluminium foams scales ne...

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Main Authors: J. Ková?ik, J. Jerz, N. Mináriková, L. Marsavina, E. Linul
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2016-03-01
Series:Fracture and Structural Integrity
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Online Access:https://www.fracturae.com/index.php/fis/article/view/1694
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author J. Ková?ik
J. Jerz
N. Mináriková
L. Marsavina
E. Linul
author_facet J. Ková?ik
J. Jerz
N. Mináriková
L. Marsavina
E. Linul
author_sort J. Ková?ik
collection DOAJ
description The scaling of compression strength with porosity for aluminium foams was investigated. The Al 99.96, AlMg1Si0.6 and AlSi11Mg0.6 foams of various porosity, sample size with and without surface skin were tested in compression. It was observed that the compression strength of aluminium foams scales near the percolation threshold with Tf ? 1.9 - 2.0 almost independently on the matrix alloy, sample size and presence of surface skin. The difference of the obtained values of Tf to the theoretical estimate of Tf = 2.64 ± 0.3 by Arbabi and Sahimi and to Ashby estimate of 1.5 was explained using an analogy with the Daoud and Coniglio approach to the scaling of the free energy of sol-gel transition. It leads to the finding that, there are two different universality classes for the critical exponent Tf: when the stretching forces dominate Tf = f = 2.1, respectively when bending forces prevail Tf = ?.d = 2.64 seems to be valid. Another possibility is the validity of relation Tf ? f which varies only according to the universality class of modulus of elasticity in foam.
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series Fracture and Structural Integrity
spelling doaj-art-950d4a03cdb64946928f8c5d1ca08d092025-01-03T00:39:59ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932016-03-011036Scaling of compression strength in disordered solids: metallic foamsJ. Ková?ikJ. JerzN. MinárikováL. MarsavinaE. LinulThe scaling of compression strength with porosity for aluminium foams was investigated. The Al 99.96, AlMg1Si0.6 and AlSi11Mg0.6 foams of various porosity, sample size with and without surface skin were tested in compression. It was observed that the compression strength of aluminium foams scales near the percolation threshold with Tf ? 1.9 - 2.0 almost independently on the matrix alloy, sample size and presence of surface skin. The difference of the obtained values of Tf to the theoretical estimate of Tf = 2.64 ± 0.3 by Arbabi and Sahimi and to Ashby estimate of 1.5 was explained using an analogy with the Daoud and Coniglio approach to the scaling of the free energy of sol-gel transition. It leads to the finding that, there are two different universality classes for the critical exponent Tf: when the stretching forces dominate Tf = f = 2.1, respectively when bending forces prevail Tf = ?.d = 2.64 seems to be valid. Another possibility is the validity of relation Tf ? f which varies only according to the universality class of modulus of elasticity in foam.https://www.fracturae.com/index.php/fis/article/view/1694Metallic foamsAluminium foamsCompressionCompression strengthPercolation
spellingShingle J. Ková?ik
J. Jerz
N. Mináriková
L. Marsavina
E. Linul
Scaling of compression strength in disordered solids: metallic foams
Fracture and Structural Integrity
Metallic foams
Aluminium foams
Compression
Compression strength
Percolation
title Scaling of compression strength in disordered solids: metallic foams
title_full Scaling of compression strength in disordered solids: metallic foams
title_fullStr Scaling of compression strength in disordered solids: metallic foams
title_full_unstemmed Scaling of compression strength in disordered solids: metallic foams
title_short Scaling of compression strength in disordered solids: metallic foams
title_sort scaling of compression strength in disordered solids metallic foams
topic Metallic foams
Aluminium foams
Compression
Compression strength
Percolation
url https://www.fracturae.com/index.php/fis/article/view/1694
work_keys_str_mv AT jkovaik scalingofcompressionstrengthindisorderedsolidsmetallicfoams
AT jjerz scalingofcompressionstrengthindisorderedsolidsmetallicfoams
AT nminarikova scalingofcompressionstrengthindisorderedsolidsmetallicfoams
AT lmarsavina scalingofcompressionstrengthindisorderedsolidsmetallicfoams
AT elinul scalingofcompressionstrengthindisorderedsolidsmetallicfoams