Stability of Cracked Plates with Nonlinearly Variable Thickness Resting on Elastic Foundations
In this paper, the stability of rectangular cracked plates with nonlinearly variable thickness resting on the elastic foundations is studied. The thickness of the plate varies exponentially along the x-axis. Meanwhile, the elastic foundation is modeled by a two-parameter Pasternak elastic foundation...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Mouloud Mammeri University of Tizi-Ouzou
2022-12-01
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| Series: | Journal of Materials and Engineering Structures |
| Subjects: | |
| Online Access: | https://revue.ummto.dz/index.php/JMES/article/view/3308 |
| _version_ | 1811160023855792128 |
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| author | Vinh An LE Minh Phuc PHAM Tuan Anh BUI |
| author_facet | Vinh An LE Minh Phuc PHAM Tuan Anh BUI |
| author_sort | Vinh An LE |
| collection | DOAJ |
| description | In this paper, the stability of rectangular cracked plates with nonlinearly variable thickness resting on the elastic foundations is studied. The thickness of the plate varies exponentially along the x-axis. Meanwhile, the elastic foundation is modeled by a two-parameter Pasternak elastic foundation type. The crack is assumed at the center of the plate with variable length and angle of inclination. The establishment of the stability equations of the cracked plate is based on the Higher Order Shear Deformation Theory (HSDT) combined with the phase field theory. Next, using the finite element method to solve the equations to find the minimum force that causes plate instability. To test the reliability of the computational theory, the results are compared with several reputable published papers. Then, the article will investigate the influence of elastic foundation, crack location, crack length and crack inclination on the stability of plate. The results show that the elastic foundation has a great influence on the plate stability, while the crack inclination angle has less influence. Finally, there are some images of the destabilization patterns of cracked plates placed on an elastic foundation. |
| first_indexed | 2024-04-10T05:50:36Z |
| format | Article |
| id | doaj.art-49f658e4c6fe4e3cba4da5da8e501bfa |
| institution | Directory Open Access Journal |
| issn | 2170-127X |
| language | English |
| last_indexed | 2024-04-10T05:50:36Z |
| publishDate | 2022-12-01 |
| publisher | Mouloud Mammeri University of Tizi-Ouzou |
| record_format | Article |
| series | Journal of Materials and Engineering Structures |
| spelling | doaj.art-49f658e4c6fe4e3cba4da5da8e501bfa2023-03-04T16:15:46ZengMouloud Mammeri University of Tizi-OuzouJournal of Materials and Engineering Structures2170-127X2022-12-01946416512096Stability of Cracked Plates with Nonlinearly Variable Thickness Resting on Elastic FoundationsVinh An LE0Minh Phuc PHAMTuan Anh BUIFaculty of Civil Engeneering, University of Transport and CommunicationsIn this paper, the stability of rectangular cracked plates with nonlinearly variable thickness resting on the elastic foundations is studied. The thickness of the plate varies exponentially along the x-axis. Meanwhile, the elastic foundation is modeled by a two-parameter Pasternak elastic foundation type. The crack is assumed at the center of the plate with variable length and angle of inclination. The establishment of the stability equations of the cracked plate is based on the Higher Order Shear Deformation Theory (HSDT) combined with the phase field theory. Next, using the finite element method to solve the equations to find the minimum force that causes plate instability. To test the reliability of the computational theory, the results are compared with several reputable published papers. Then, the article will investigate the influence of elastic foundation, crack location, crack length and crack inclination on the stability of plate. The results show that the elastic foundation has a great influence on the plate stability, while the crack inclination angle has less influence. Finally, there are some images of the destabilization patterns of cracked plates placed on an elastic foundation.https://revue.ummto.dz/index.php/JMES/article/view/3308cracked platesnonlinearly variable thicknesselastic foundationsstability |
| spellingShingle | Vinh An LE Minh Phuc PHAM Tuan Anh BUI Stability of Cracked Plates with Nonlinearly Variable Thickness Resting on Elastic Foundations Journal of Materials and Engineering Structures cracked plates nonlinearly variable thickness elastic foundations stability |
| title | Stability of Cracked Plates with Nonlinearly Variable Thickness Resting on Elastic Foundations |
| title_full | Stability of Cracked Plates with Nonlinearly Variable Thickness Resting on Elastic Foundations |
| title_fullStr | Stability of Cracked Plates with Nonlinearly Variable Thickness Resting on Elastic Foundations |
| title_full_unstemmed | Stability of Cracked Plates with Nonlinearly Variable Thickness Resting on Elastic Foundations |
| title_short | Stability of Cracked Plates with Nonlinearly Variable Thickness Resting on Elastic Foundations |
| title_sort | stability of cracked plates with nonlinearly variable thickness resting on elastic foundations |
| topic | cracked plates nonlinearly variable thickness elastic foundations stability |
| url | https://revue.ummto.dz/index.php/JMES/article/view/3308 |
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