A two-stage inverse method for the evaluation of volume fraction distributions in 2D and 3D functionally graded materials
In this article, an inverse method is proposed to determine the volume fraction distributions in functionally graded materials (FGMs). By determining the space-dependent volume fractions of the FGM phases, the properties of the FGMs are characterized. The proposed method, which is based on a steady-...
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| Veröffentlicht in: | Proceedings of the Institution of Mechanical Engineers. Part C, Journal of mechanical engineering science Journal of mechanical engineering science, 2011-07, Vol.225 (7), p.1550-1564 |
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| container_title | Proceedings of the Institution of Mechanical Engineers. Part C, Journal of mechanical engineering science |
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| creator | Nematollahi, M A Hematiyan, M R Farid, M |
| description | In this article, an inverse method is proposed to determine the volume fraction distributions in functionally graded materials (FGMs). By determining the space-dependent volume fractions of the FGM phases, the properties of the FGMs are characterized. The proposed method, which is based on a steady-state thermal test, is applied in two stages. In the first stage, the two- or three-dimensional material is considered piecewise homogenous and its properties are found by a simple inverse analysis. In the second stage, the unknown volume fraction distribution is considered as a continuous function with several unknown parameters. Estimated values of these unknown parameters are found using the results obtained in the first stage and by another inverse analysis. The obtained results show that the presented method is efficient in estimating the volume fraction distributions in FGMs. |
| doi_str_mv | 10.1177/0954406211399846 |
| format | Article |
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By determining the space-dependent volume fractions of the FGM phases, the properties of the FGMs are characterized. The proposed method, which is based on a steady-state thermal test, is applied in two stages. In the first stage, the two- or three-dimensional material is considered piecewise homogenous and its properties are found by a simple inverse analysis. In the second stage, the unknown volume fraction distribution is considered as a continuous function with several unknown parameters. Estimated values of these unknown parameters are found using the results obtained in the first stage and by another inverse analysis. 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The obtained results show that the presented method is efficient in estimating the volume fraction distributions in FGMs.</description><subject>Concentration (composition)</subject><subject>Continuity (mathematics)</subject><subject>Estimation</subject><subject>Functionally gradient materials</subject><subject>Inverse</subject><subject>Inverse method</subject><subject>Mechanical engineers</subject><subject>Microstructure</subject><subject>Parameter estimation</subject><subject>Phases</subject><subject>Test procedures</subject><subject>Three dimensional</subject><subject>Two dimensional</subject><subject>Volume fraction</subject><issn>0954-4062</issn><issn>2041-2983</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNp1kT1PwzAQhi0EEqWwM1piYQn4K449Vi1fUiUWmCMntttUSVxsp6j_HqdlQJW45XT3PvfqdAfALUYPGBfFI5I5Y4gTjKmUgvEzMCGI4YxIQc_BZJSzUb8EVyFsUArC8wnYz2D8dlmIamVg0--MDwZ2Jq6dhtZ5GNcGmp1qBxUb10Nn4c61Q2eg9ao-tHQTom-qYSxCsoBkAVWvIV1AO_QHRrXtHq680kbDTkXjG9WGa3BhUzI3v3kKPp-fPuav2fL95W0-W2Y1ZSRm0gqlpLU5oohaLOqKUGG5rBmWuRFSEMaFJVoJW2kka2U5z0llhC1wTqWmU3B_9N169zWYEMuuCbVpW9UbN4QS8wKTAiGKE3p3gm7c4NP6iZJI0oIVPE8UOlK1dyF4Y8utbzrl9yVG5fiL8vQXaSQ7joR05j-m__E_UIGJSw</recordid><startdate>201107</startdate><enddate>201107</enddate><creator>Nematollahi, M A</creator><creator>Hematiyan, M R</creator><creator>Farid, M</creator><general>SAGE Publications</general><general>SAGE PUBLICATIONS, INC</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>F28</scope><scope>FR3</scope></search><sort><creationdate>201107</creationdate><title>A two-stage inverse method for the evaluation of volume fraction distributions in 2D and 3D functionally graded materials</title><author>Nematollahi, M A ; Hematiyan, M R ; Farid, M</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c342t-9f8aa9ff50303f18cb238f69c4195e8982468f2da8fbd09caf6652be8f71539d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Concentration (composition)</topic><topic>Continuity (mathematics)</topic><topic>Estimation</topic><topic>Functionally gradient materials</topic><topic>Inverse</topic><topic>Inverse method</topic><topic>Mechanical engineers</topic><topic>Microstructure</topic><topic>Parameter estimation</topic><topic>Phases</topic><topic>Test procedures</topic><topic>Three dimensional</topic><topic>Two dimensional</topic><topic>Volume fraction</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Nematollahi, M A</creatorcontrib><creatorcontrib>Hematiyan, M R</creatorcontrib><creatorcontrib>Farid, M</creatorcontrib><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><jtitle>Proceedings of the Institution of Mechanical Engineers. 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| ispartof | Proceedings of the Institution of Mechanical Engineers. Part C, Journal of mechanical engineering science, 2011-07, Vol.225 (7), p.1550-1564 |
| issn | 0954-4062 2041-2983 |
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| subjects | Concentration (composition) Continuity (mathematics) Estimation Functionally gradient materials Inverse Inverse method Mechanical engineers Microstructure Parameter estimation Phases Test procedures Three dimensional Two dimensional Volume fraction |
| title | A two-stage inverse method for the evaluation of volume fraction distributions in 2D and 3D functionally graded materials |
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