Detecting Damage in Thin Plates by Processing Infrared Thermographic Data with Topological Derivatives
A thermogram is a color image produced by a thermal camera where each color level represents a different radiation intensity (temperature). In this paper, we study the use of steady and time-harmonic thermograms for structural health monitoring of thin plates. Since conductive heat transfer is short...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2019/5494795 |
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| author | M. Pena M.-L. Rapún |
| author_facet | M. Pena M.-L. Rapún |
| author_sort | M. Pena |
| collection | DOAJ |
| description | A thermogram is a color image produced by a thermal camera where each color level represents a different radiation intensity (temperature). In this paper, we study the use of steady and time-harmonic thermograms for structural health monitoring of thin plates. Since conductive heat transfer is short range and the associated signal–to–noise ratio is not much favorable, efficient data processing tools are required to successfully interpret thermograms. We will process thermograms by a mathematical tool called topological derivative, showing its efficiency in very demanding situations where thermograms are highly polluted by noise, and/or when the parameters of the medium fluctuate randomly. An exhaustive gallery of numerical simulations will be presented to assess the performance and limitations of this tool. |
| format | Article |
| id | doaj-art-e2f9245213174155a4323c9ad27e028a |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-e2f9245213174155a4323c9ad27e028a2025-08-20T02:21:14ZengWileyAdvances in Mathematical Physics1687-91201687-91392019-01-01201910.1155/2019/54947955494795Detecting Damage in Thin Plates by Processing Infrared Thermographic Data with Topological DerivativesM. Pena0M.-L. Rapún1E.T.S.I.Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Plaza Cardenal Cisneros 3, 28028 Madrid, SpainE.T.S.I.Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Plaza Cardenal Cisneros 3, 28028 Madrid, SpainA thermogram is a color image produced by a thermal camera where each color level represents a different radiation intensity (temperature). In this paper, we study the use of steady and time-harmonic thermograms for structural health monitoring of thin plates. Since conductive heat transfer is short range and the associated signal–to–noise ratio is not much favorable, efficient data processing tools are required to successfully interpret thermograms. We will process thermograms by a mathematical tool called topological derivative, showing its efficiency in very demanding situations where thermograms are highly polluted by noise, and/or when the parameters of the medium fluctuate randomly. An exhaustive gallery of numerical simulations will be presented to assess the performance and limitations of this tool.http://dx.doi.org/10.1155/2019/5494795 |
| spellingShingle | M. Pena M.-L. Rapún Detecting Damage in Thin Plates by Processing Infrared Thermographic Data with Topological Derivatives Advances in Mathematical Physics |
| title | Detecting Damage in Thin Plates by Processing Infrared Thermographic Data with Topological Derivatives |
| title_full | Detecting Damage in Thin Plates by Processing Infrared Thermographic Data with Topological Derivatives |
| title_fullStr | Detecting Damage in Thin Plates by Processing Infrared Thermographic Data with Topological Derivatives |
| title_full_unstemmed | Detecting Damage in Thin Plates by Processing Infrared Thermographic Data with Topological Derivatives |
| title_short | Detecting Damage in Thin Plates by Processing Infrared Thermographic Data with Topological Derivatives |
| title_sort | detecting damage in thin plates by processing infrared thermographic data with topological derivatives |
| url | http://dx.doi.org/10.1155/2019/5494795 |
| work_keys_str_mv | AT mpena detectingdamageinthinplatesbyprocessinginfraredthermographicdatawithtopologicalderivatives AT mlrapun detectingdamageinthinplatesbyprocessinginfraredthermographicdatawithtopologicalderivatives |