A Comparative and Review Study on Shape and Stress Sensing of Flat/Curved Shell Geometries Using C<sup>0</sup>-Continuous Family of iFEM Elements
In this study, we methodologically compare and review the accuracy and performance of C<sup>0</sup>-continuous flat and curved inverse-shell elements (i.e., iMIN3, iQS4, and iCS8) for inverse finite element method (iFEM) in terms of shape, strain, and stress monitoring, and damage detect...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-07-01
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| Series: | Sensors |
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| Online Access: | https://www.mdpi.com/1424-8220/20/14/3808 |
| _version_ | 1797563096553750528 |
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| author | Mohammad Amin Abdollahzadeh Adnan Kefal Mehmet Yildiz |
| author_facet | Mohammad Amin Abdollahzadeh Adnan Kefal Mehmet Yildiz |
| author_sort | Mohammad Amin Abdollahzadeh |
| collection | DOAJ |
| description | In this study, we methodologically compare and review the accuracy and performance of C<sup>0</sup>-continuous flat and curved inverse-shell elements (i.e., iMIN3, iQS4, and iCS8) for inverse finite element method (iFEM) in terms of shape, strain, and stress monitoring, and damage detection on various plane and curved geometries subjected to different loading and constraint conditions. For this purpose, four different benchmark problems are proposed, namely, a tapered plate, a quarter of a cylindrical shell, a stiffened curved plate, and a curved plate with a degraded material region in stiffness, representing a damage. The complexity of these test cases is increased systematically to reveal the advantages and shortcomings of the elements under different sensor density deployments. The reference displacement solutions and strain-sensor data used in the benchmark problems are established numerically, utilizing direct finite element analysis. After performing shape-, strain-, and stress-sensing analyses, the reference solutions are compared to the reconstructed solutions of iMIN3, iQS4, and iCS8 models. For plane geometries with sparse sensor configurations, these three elements provide rather close reconstructed-displacement fields with slightly more accurate stress sensing using iCS8 than when using iMIN3/iQS4. It is demonstrated on the curved geometry that the cross-diagonal meshing of a quadrilateral element pattern (e.g., leading to four iMIN3 elements) improves the accuracy of the displacement reconstruction as compared to a single-diagonal meshing strategy (e.g., two iMIN3 elements in a quad-shape element) utilizing iMIN3 element. Nevertheless, regardless of any geometry, sensor density, and meshing strategy, iQS4 has better shape and stress-sensing than iMIN3. As the complexity of the problem is elevated, the predictive capabilities of iCS8 element become obviously superior to that of flat inverse-shell elements (e.g., iMIN3 and iQS4) in terms of both shape sensing and damage detection. Comprehensively speaking, we envisage that the set of scrupulously selected test cases proposed herein can be reliable benchmarks for testing/validating/comparing for the features of newly developed inverse elements. |
| first_indexed | 2024-03-10T18:37:44Z |
| format | Article |
| id | doaj.art-a5c9d11256ce499da13fbf7c05e0cb72 |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-03-10T18:37:44Z |
| publishDate | 2020-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-a5c9d11256ce499da13fbf7c05e0cb722023-11-20T06:08:11ZengMDPI AGSensors1424-82202020-07-012014380810.3390/s20143808A Comparative and Review Study on Shape and Stress Sensing of Flat/Curved Shell Geometries Using C<sup>0</sup>-Continuous Family of iFEM ElementsMohammad Amin Abdollahzadeh0Adnan Kefal1Mehmet Yildiz2Faculty of Engineering and Natural Sciences, Sabanci University, Tuzla, 34956 Istanbul, TurkeyFaculty of Engineering and Natural Sciences, Sabanci University, Tuzla, 34956 Istanbul, TurkeyFaculty of Engineering and Natural Sciences, Sabanci University, Tuzla, 34956 Istanbul, TurkeyIn this study, we methodologically compare and review the accuracy and performance of C<sup>0</sup>-continuous flat and curved inverse-shell elements (i.e., iMIN3, iQS4, and iCS8) for inverse finite element method (iFEM) in terms of shape, strain, and stress monitoring, and damage detection on various plane and curved geometries subjected to different loading and constraint conditions. For this purpose, four different benchmark problems are proposed, namely, a tapered plate, a quarter of a cylindrical shell, a stiffened curved plate, and a curved plate with a degraded material region in stiffness, representing a damage. The complexity of these test cases is increased systematically to reveal the advantages and shortcomings of the elements under different sensor density deployments. The reference displacement solutions and strain-sensor data used in the benchmark problems are established numerically, utilizing direct finite element analysis. After performing shape-, strain-, and stress-sensing analyses, the reference solutions are compared to the reconstructed solutions of iMIN3, iQS4, and iCS8 models. For plane geometries with sparse sensor configurations, these three elements provide rather close reconstructed-displacement fields with slightly more accurate stress sensing using iCS8 than when using iMIN3/iQS4. It is demonstrated on the curved geometry that the cross-diagonal meshing of a quadrilateral element pattern (e.g., leading to four iMIN3 elements) improves the accuracy of the displacement reconstruction as compared to a single-diagonal meshing strategy (e.g., two iMIN3 elements in a quad-shape element) utilizing iMIN3 element. Nevertheless, regardless of any geometry, sensor density, and meshing strategy, iQS4 has better shape and stress-sensing than iMIN3. As the complexity of the problem is elevated, the predictive capabilities of iCS8 element become obviously superior to that of flat inverse-shell elements (e.g., iMIN3 and iQS4) in terms of both shape sensing and damage detection. Comprehensively speaking, we envisage that the set of scrupulously selected test cases proposed herein can be reliable benchmarks for testing/validating/comparing for the features of newly developed inverse elements.https://www.mdpi.com/1424-8220/20/14/3808structural health monitoringshape sensingstress sensinginverse finite element methodshell elementsstrain sensor |
| spellingShingle | Mohammad Amin Abdollahzadeh Adnan Kefal Mehmet Yildiz A Comparative and Review Study on Shape and Stress Sensing of Flat/Curved Shell Geometries Using C<sup>0</sup>-Continuous Family of iFEM Elements Sensors structural health monitoring shape sensing stress sensing inverse finite element method shell elements strain sensor |
| title | A Comparative and Review Study on Shape and Stress Sensing of Flat/Curved Shell Geometries Using C<sup>0</sup>-Continuous Family of iFEM Elements |
| title_full | A Comparative and Review Study on Shape and Stress Sensing of Flat/Curved Shell Geometries Using C<sup>0</sup>-Continuous Family of iFEM Elements |
| title_fullStr | A Comparative and Review Study on Shape and Stress Sensing of Flat/Curved Shell Geometries Using C<sup>0</sup>-Continuous Family of iFEM Elements |
| title_full_unstemmed | A Comparative and Review Study on Shape and Stress Sensing of Flat/Curved Shell Geometries Using C<sup>0</sup>-Continuous Family of iFEM Elements |
| title_short | A Comparative and Review Study on Shape and Stress Sensing of Flat/Curved Shell Geometries Using C<sup>0</sup>-Continuous Family of iFEM Elements |
| title_sort | comparative and review study on shape and stress sensing of flat curved shell geometries using c sup 0 sup continuous family of ifem elements |
| topic | structural health monitoring shape sensing stress sensing inverse finite element method shell elements strain sensor |
| url | https://www.mdpi.com/1424-8220/20/14/3808 |
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