Modeling the Propagation of Ultrasonic Guided Waves in a Composite Plate by a Spectral Approximation Method
Graphite-epoxy composites have been able to meet the multiple requirements of the space industry. However, the radiation from the spatial environment and non-perfect adhesion between the fibers and the matrix can lead to the appearance of imperfections. To handle this, we use non-destructive testing...
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| Format: | Article |
| Language: | English |
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Institute of Fundamental Technological Research
2023-05-01
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| Series: | Engineering Transactions |
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| Online Access: | https://et.ippt.pan.pl/index.php/et/article/view/3073 |
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| author | Ismaine ZITOUNI Hassan RHIMINI Abdelkerim CHOUAF |
| author_facet | Ismaine ZITOUNI Hassan RHIMINI Abdelkerim CHOUAF |
| author_sort | Ismaine ZITOUNI |
| collection | DOAJ |
| description | Graphite-epoxy composites have been able to meet the multiple requirements of the space industry. However, the radiation from the spatial environment and non-perfect adhesion between the fibers and the matrix can lead to the appearance of imperfections. To handle this, we use non-destructive testing by ultrasonic guided waves known for its high accuracy in detecting defects. In this article, we study the propagation of ultrasonic guided waves in a graphite-epoxy composite plate by the spectral method. First, the mathematical formalism is explained for modeling guided waves in the composite material. Next, we plot the dispersion curves of the composite plate in different orientations of the fibers with a MATLAB program and the results are compared with those of the DISPERSE software. These give us information on the modes that propagate in the structure. We elaborate and explain a technique based on displacement symmetry to distinguish between the different modes. A discussion based on time-saving and accuracy is established to show the advantages of the method.
The second part of our paper consists in giving a physical meaning to the spectral displacements normalized in amplitude. We propose to normalize the spectral eigenvectors by the acoustic power. We plot the displacement and stress profiles of the guided modes and we compare our results to the analytical ones. Perfect correspondence is found, indicating the accuracy of the approach developed. In addition, a study of the vibrational state in the composite plate is established for Lamb and horizontal shear modes at a specific frequency.
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| format | Article |
| id | doaj-art-f48f7e23276b4c3da738d7f2d01860b3 |
| institution | Matheson Library |
| issn | 0867-888X 2450-8071 |
| language | English |
| publishDate | 2023-05-01 |
| publisher | Institute of Fundamental Technological Research |
| record_format | Article |
| series | Engineering Transactions |
| spelling | doaj-art-f48f7e23276b4c3da738d7f2d01860b32025-07-11T04:53:10ZengInstitute of Fundamental Technological ResearchEngineering Transactions0867-888X2450-80712023-05-0171210.24423/EngTrans.3073.20230510Modeling the Propagation of Ultrasonic Guided Waves in a Composite Plate by a Spectral Approximation MethodIsmaine ZITOUNI0Hassan RHIMINI1Abdelkerim CHOUAF2Hassan II UniversityHassan II UniversityHassan II UniversityGraphite-epoxy composites have been able to meet the multiple requirements of the space industry. However, the radiation from the spatial environment and non-perfect adhesion between the fibers and the matrix can lead to the appearance of imperfections. To handle this, we use non-destructive testing by ultrasonic guided waves known for its high accuracy in detecting defects. In this article, we study the propagation of ultrasonic guided waves in a graphite-epoxy composite plate by the spectral method. First, the mathematical formalism is explained for modeling guided waves in the composite material. Next, we plot the dispersion curves of the composite plate in different orientations of the fibers with a MATLAB program and the results are compared with those of the DISPERSE software. These give us information on the modes that propagate in the structure. We elaborate and explain a technique based on displacement symmetry to distinguish between the different modes. A discussion based on time-saving and accuracy is established to show the advantages of the method. The second part of our paper consists in giving a physical meaning to the spectral displacements normalized in amplitude. We propose to normalize the spectral eigenvectors by the acoustic power. We plot the displacement and stress profiles of the guided modes and we compare our results to the analytical ones. Perfect correspondence is found, indicating the accuracy of the approach developed. In addition, a study of the vibrational state in the composite plate is established for Lamb and horizontal shear modes at a specific frequency. https://et.ippt.pan.pl/index.php/et/article/view/3073guided wavesspectral methoddispersion curvesgraphite-epoxy compositeacoustic powernormalized displacement |
| spellingShingle | Ismaine ZITOUNI Hassan RHIMINI Abdelkerim CHOUAF Modeling the Propagation of Ultrasonic Guided Waves in a Composite Plate by a Spectral Approximation Method Engineering Transactions guided waves spectral method dispersion curves graphite-epoxy composite acoustic power normalized displacement |
| title | Modeling the Propagation of Ultrasonic Guided Waves in a Composite Plate by a Spectral Approximation Method |
| title_full | Modeling the Propagation of Ultrasonic Guided Waves in a Composite Plate by a Spectral Approximation Method |
| title_fullStr | Modeling the Propagation of Ultrasonic Guided Waves in a Composite Plate by a Spectral Approximation Method |
| title_full_unstemmed | Modeling the Propagation of Ultrasonic Guided Waves in a Composite Plate by a Spectral Approximation Method |
| title_short | Modeling the Propagation of Ultrasonic Guided Waves in a Composite Plate by a Spectral Approximation Method |
| title_sort | modeling the propagation of ultrasonic guided waves in a composite plate by a spectral approximation method |
| topic | guided waves spectral method dispersion curves graphite-epoxy composite acoustic power normalized displacement |
| url | https://et.ippt.pan.pl/index.php/et/article/view/3073 |
| work_keys_str_mv | AT ismainezitouni modelingthepropagationofultrasonicguidedwavesinacompositeplatebyaspectralapproximationmethod AT hassanrhimini modelingthepropagationofultrasonicguidedwavesinacompositeplatebyaspectralapproximationmethod AT abdelkerimchouaf modelingthepropagationofultrasonicguidedwavesinacompositeplatebyaspectralapproximationmethod |