Efficiency of the Needle Probe Test for Evaluation of Thermal Conductivity of Composite Materials: Two-Scale Analysis

The needle probe test, as a thermal conductivity measurement method, has become very popular in recent years. In the present study, the efficiency of this methodology, for the case of composite materials, is investigated based on the numerical simulations. The material under study is a two-phase com...

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Main Authors: Łydżba Dariusz, Różański Adrian, Rajczakowska Magdalena, Stefaniuk Damian
Format: Article
Language:English
Published: Sciendo 2014-03-01
Series:Studia Geotechnica et Mechanica
Subjects:
Online Access:http://www.degruyter.com/view/j/sgem.2014.36.issue-1/sgem-2014-0007/sgem-2014-0007.xml?format=INT
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author Łydżba Dariusz
Różański Adrian
Rajczakowska Magdalena
Stefaniuk Damian
author_facet Łydżba Dariusz
Różański Adrian
Rajczakowska Magdalena
Stefaniuk Damian
author_sort Łydżba Dariusz
collection DOAJ
description The needle probe test, as a thermal conductivity measurement method, has become very popular in recent years. In the present study, the efficiency of this methodology, for the case of composite materials, is investigated based on the numerical simulations. The material under study is a two-phase composite with periodic microstructure of “matrix-inclusion” type. Two-scale analysis, incorporating micromechanics approach, is performed. First, the effective thermal conductivity of the composite considered is found by the solution of the appropriate boundary value problem stated for the single unit cell. Next, numerical simulations of the needle probe test are carried out. In this case, two different locations of the measuring sensor are considered. It is shown that the “equivalent” conductivity, derived from the probe test, is strongly affected by the location of the sensor. Moreover, comparing the results obtained for different scales, one can notice that the “equivalent” conductivity cannot be interpreted as the effective one for the composites considered. Hence, a crude approximation of the effective property is proposed based on the volume fractions of constituents and the equivalent conductivities derived from different sensor locations.
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spelling doaj.art-070176b7aa09422eaae291098df8b0a32022-12-21T18:47:25ZengSciendoStudia Geotechnica et Mechanica0137-63652083-831X2014-03-01361556210.2478/sgem-2014-0007sgem-2014-0007Efficiency of the Needle Probe Test for Evaluation of Thermal Conductivity of Composite Materials: Two-Scale AnalysisŁydżba Dariusz0Różański Adrian1Rajczakowska Magdalena2Stefaniuk Damian3Institute of Geotechnics and Hydrotechnics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, PolandInstitute of Geotechnics and Hydrotechnics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, PolandInstitute of Geotechnics and Hydrotechnics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, PolandInstitute of Geotechnics and Hydrotechnics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, PolandThe needle probe test, as a thermal conductivity measurement method, has become very popular in recent years. In the present study, the efficiency of this methodology, for the case of composite materials, is investigated based on the numerical simulations. The material under study is a two-phase composite with periodic microstructure of “matrix-inclusion” type. Two-scale analysis, incorporating micromechanics approach, is performed. First, the effective thermal conductivity of the composite considered is found by the solution of the appropriate boundary value problem stated for the single unit cell. Next, numerical simulations of the needle probe test are carried out. In this case, two different locations of the measuring sensor are considered. It is shown that the “equivalent” conductivity, derived from the probe test, is strongly affected by the location of the sensor. Moreover, comparing the results obtained for different scales, one can notice that the “equivalent” conductivity cannot be interpreted as the effective one for the composites considered. Hence, a crude approximation of the effective property is proposed based on the volume fractions of constituents and the equivalent conductivities derived from different sensor locations.http://www.degruyter.com/view/j/sgem.2014.36.issue-1/sgem-2014-0007/sgem-2014-0007.xml?format=INTthermal conductivitycompositeperiodic microstructurehomogenization
spellingShingle Łydżba Dariusz
Różański Adrian
Rajczakowska Magdalena
Stefaniuk Damian
Efficiency of the Needle Probe Test for Evaluation of Thermal Conductivity of Composite Materials: Two-Scale Analysis
Studia Geotechnica et Mechanica
thermal conductivity
composite
periodic microstructure
homogenization
title Efficiency of the Needle Probe Test for Evaluation of Thermal Conductivity of Composite Materials: Two-Scale Analysis
title_full Efficiency of the Needle Probe Test for Evaluation of Thermal Conductivity of Composite Materials: Two-Scale Analysis
title_fullStr Efficiency of the Needle Probe Test for Evaluation of Thermal Conductivity of Composite Materials: Two-Scale Analysis
title_full_unstemmed Efficiency of the Needle Probe Test for Evaluation of Thermal Conductivity of Composite Materials: Two-Scale Analysis
title_short Efficiency of the Needle Probe Test for Evaluation of Thermal Conductivity of Composite Materials: Two-Scale Analysis
title_sort efficiency of the needle probe test for evaluation of thermal conductivity of composite materials two scale analysis
topic thermal conductivity
composite
periodic microstructure
homogenization
url http://www.degruyter.com/view/j/sgem.2014.36.issue-1/sgem-2014-0007/sgem-2014-0007.xml?format=INT
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AT rajczakowskamagdalena efficiencyoftheneedleprobetestforevaluationofthermalconductivityofcompositematerialstwoscaleanalysis
AT stefaniukdamian efficiencyoftheneedleprobetestforevaluationofthermalconductivityofcompositematerialstwoscaleanalysis