Coupling of Peridynamics and Timoshenko Beam Theory for the Stress Analysis of Laminated Composite Materials
This study investigates the bending behavior of laminated composite beams by using Peridynamic Least Squares Minimization (PDLSM) approach and Timoshenko Beam Theory (TBT). The PDLSM converts any arbitrary order derivatives of a function in their nonlocal forms with high accuracy. Therefore, it is h...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Turkish Air Force Academy
2021-01-01
|
| Series: | Havacılık ve Uzay Teknolojileri Dergisi |
| Subjects: | |
| Online Access: | http://jast.hho.edu.tr/index.php/JAST/article/view/440 |
| _version_ | 1828024139597742080 |
|---|---|
| author | Mehmet Dördüncü |
| author_facet | Mehmet Dördüncü |
| author_sort | Mehmet Dördüncü |
| collection | DOAJ |
| description | This study investigates the bending behavior of laminated composite beams by using Peridynamic Least Squares Minimization (PDLSM) approach and Timoshenko Beam Theory (TBT). The PDLSM converts any arbitrary order derivatives of a function in their nonlocal forms with high accuracy. Therefore, it is highly suitable for the solution of TBT equilibrium equations. The influence of span-to-thickness ratios, loading and boundary conditions, as well as laminations on the stress and deformation fields of laminated composite beams, were investigated in detail. The accuracy and robustness of the present approach namely Also, the PDLSM was used for the transverse shear stress calculations from the stress equilibrium equations. It was demonstrated that the PD-TBT successfully predicted the deformation and stress fields in the laminated beams. |
| first_indexed | 2024-04-10T12:40:15Z |
| format | Article |
| id | doaj.art-0ba4d4a7576e4b23a800ea303720e924 |
| institution | Directory Open Access Journal |
| issn | 1304-0448 |
| language | English |
| last_indexed | 2024-04-10T12:40:15Z |
| publishDate | 2021-01-01 |
| publisher | Turkish Air Force Academy |
| record_format | Article |
| series | Havacılık ve Uzay Teknolojileri Dergisi |
| spelling | doaj.art-0ba4d4a7576e4b23a800ea303720e9242023-02-15T16:14:19ZengTurkish Air Force AcademyHavacılık ve Uzay Teknolojileri Dergisi1304-04482021-01-011415362Coupling of Peridynamics and Timoshenko Beam Theory for the Stress Analysis of Laminated Composite MaterialsMehmet Dördüncü0https://orcid.org/0000-0003-4028-4581Erciyes UniversityThis study investigates the bending behavior of laminated composite beams by using Peridynamic Least Squares Minimization (PDLSM) approach and Timoshenko Beam Theory (TBT). The PDLSM converts any arbitrary order derivatives of a function in their nonlocal forms with high accuracy. Therefore, it is highly suitable for the solution of TBT equilibrium equations. The influence of span-to-thickness ratios, loading and boundary conditions, as well as laminations on the stress and deformation fields of laminated composite beams, were investigated in detail. The accuracy and robustness of the present approach namely Also, the PDLSM was used for the transverse shear stress calculations from the stress equilibrium equations. It was demonstrated that the PD-TBT successfully predicted the deformation and stress fields in the laminated beams.http://jast.hho.edu.tr/index.php/JAST/article/view/440composite beamsperidynamic least squares minimizationtimoshenko beam theorystress analysis |
| spellingShingle | Mehmet Dördüncü Coupling of Peridynamics and Timoshenko Beam Theory for the Stress Analysis of Laminated Composite Materials Havacılık ve Uzay Teknolojileri Dergisi composite beams peridynamic least squares minimization timoshenko beam theory stress analysis |
| title | Coupling of Peridynamics and Timoshenko Beam Theory for the Stress Analysis of Laminated Composite Materials |
| title_full | Coupling of Peridynamics and Timoshenko Beam Theory for the Stress Analysis of Laminated Composite Materials |
| title_fullStr | Coupling of Peridynamics and Timoshenko Beam Theory for the Stress Analysis of Laminated Composite Materials |
| title_full_unstemmed | Coupling of Peridynamics and Timoshenko Beam Theory for the Stress Analysis of Laminated Composite Materials |
| title_short | Coupling of Peridynamics and Timoshenko Beam Theory for the Stress Analysis of Laminated Composite Materials |
| title_sort | coupling of peridynamics and timoshenko beam theory for the stress analysis of laminated composite materials |
| topic | composite beams peridynamic least squares minimization timoshenko beam theory stress analysis |
| url | http://jast.hho.edu.tr/index.php/JAST/article/view/440 |
| work_keys_str_mv | AT mehmetdorduncu couplingofperidynamicsandtimoshenkobeamtheoryforthestressanalysisoflaminatedcompositematerials |