دورية أكاديمية
Wave propagation analysis for a second strain gradient rod theory
| العنوان: | Wave propagation analysis for a second strain gradient rod theory |
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| المؤلفون: | Zhu, Guang, Droz, Christophe, Zine, Abdelmalek, Ichchou, Mohamed |
| المساهمون: | Laboratoire de Tribologie et Dynamique des Systèmes (LTDS), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-École Nationale des Travaux Publics de l'État (ENTPE)-Ecole Nationale d'Ingénieurs de Saint Etienne (ENISE)-Centre National de la Recherche Scientifique (CNRS), Modélisation mathématique, calcul scientifique (MMCS), Institut Camille Jordan (ICJ), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Lyon (ECL), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS) |
| المصدر: | ISSN: 1000-9361 ; Chinese Journal of Aeronautics ; https://hal.science/hal-02712551Test ; Chinese Journal of Aeronautics, 2019, 33 (10), pp.2563-2574. ⟨10.1016/j.cja.2019.10.006⟩. |
| بيانات النشر: | HAL CCSD Elsevier |
| سنة النشر: | 2019 |
| المجموعة: | HAL Lyon 1 (University Claude Bernard Lyon 1) |
| مصطلحات موضوعية: | Dynamic behavior, Energy flow, Enriched rod model, Reflection and transmission, Second strain gradient theory, Wave propagation features, [SPI.FLUID]Engineering Sciences [physics]/Reactive fluid environment, [SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph], [SPI.MAT]Engineering Sciences [physics]/Materials, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA] |
| الوصف: | International audience ; In this work, an enriched model describing the longitudinal wave propagation is established based on Mindlin’s Second Strain Gradient (SSG) theory, which can describe the heterogeneity caused by the micro-structure interactions in the frame of continuum mechanics. The governing equation and associated boundary conditions are derived based on Hamilton's principle, then the dispersion relation of non-classical longitudinal wave together with the extra-waves appearing exclusively in SSG theory model are investigated. The investigations are based on the modal density, energy flow, and forced response of the rod. Wave transmission and reflection through planar interfaces based on the proposed model have been calculated. Finally, the results of the enriched model are well interpreted by comparing with the classical theory results, and some useful conclusions are derived on the SSG theory based model in the wave propagation characterization. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| العلاقة: | hal-02712551; https://hal.science/hal-02712551Test; https://hal.science/hal-02712551/documentTest; https://hal.science/hal-02712551/file/ZhuJCA2019.pdfTest |
| DOI: | 10.1016/j.cja.2019.10.006 |
| الإتاحة: | https://doi.org/10.1016/j.cja.2019.10.006Test https://hal.science/hal-02712551Test https://hal.science/hal-02712551/documentTest https://hal.science/hal-02712551/file/ZhuJCA2019.pdfTest |
| حقوق: | http://creativecommons.org/licenses/by-nc-ndTest/ ; info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.42BA06CA |
| قاعدة البيانات: | BASE |
| DOI: | 10.1016/j.cja.2019.10.006 |
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