The Influence of GPL Reinforcements on the Post-Buckling Behavior of FG Porous Rings Subjected to an External Pressure
The work focuses on the post- buckling behavior of functionally graded graphene platelet (FG-GPL)-reinforced porous thick rings with open-cell internal cavities under a uniform external pressure. The generalized rule of mixture and the modified Halpin–Tsai model are here used to evaluate the effecti...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-05-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/11/11/2421 |
| _version_ | 1827739431509950464 |
|---|---|
| author | Shaoping Bi Enming Zhang Masoud Babaei Francesco Tornabene Rossana Dimitri |
| author_facet | Shaoping Bi Enming Zhang Masoud Babaei Francesco Tornabene Rossana Dimitri |
| author_sort | Shaoping Bi |
| collection | DOAJ |
| description | The work focuses on the post- buckling behavior of functionally graded graphene platelet (FG-GPL)-reinforced porous thick rings with open-cell internal cavities under a uniform external pressure. The generalized rule of mixture and the modified Halpin–Tsai model are here used to evaluate the effective mechanical properties of the ring. Three types of porosity patterns are assumed together with five different GPL distributions as reinforcement across the ring thickness. The theoretical formulation relies on a 2D-plane stress linear elasticity theory and Green strain field in conjunction a virtual work principle to derive the nonlinear governing equations of the post-buckling problem. Unlike the simple ring models, 2D elasticity considers the thickness stretching. The finite element model combined with an iterative Newton–Raphson algorithm is used to obtain the post-buckling path of the ring up to the collapse. A systematic investigation evaluates the effect of the weight fraction of nanofillers, the coefficient of porosity, porosity distribution, and the GPLs distribution on the deep post-buckling path of the ring. Based on the results, it is found that the buckling value and post-buckling strength increase considerably (by approximately 80%) by increasing the weight fraction of the nanofiller of about 1%. |
| first_indexed | 2024-03-11T03:02:40Z |
| format | Article |
| id | doaj.art-74b630a8150f44578740021b48d20abe |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T03:02:40Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-74b630a8150f44578740021b48d20abe2023-11-18T08:11:47ZengMDPI AGMathematics2227-73902023-05-011111242110.3390/math11112421The Influence of GPL Reinforcements on the Post-Buckling Behavior of FG Porous Rings Subjected to an External PressureShaoping Bi0Enming Zhang1Masoud Babaei2Francesco Tornabene3Rossana Dimitri4Quzhou College of Technology, Quzhou 324000, ChinaQuzhou College of Technology, Quzhou 324000, ChinaDepartment of Mechanical Engineering, University of Eyvanekey, Eyvanekey 99888-35918, IranDepartment of Innovation Engineering, Faculty of Engineering, University of Salento, 73100 Lecce, ItalyDepartment of Innovation Engineering, Faculty of Engineering, University of Salento, 73100 Lecce, ItalyThe work focuses on the post- buckling behavior of functionally graded graphene platelet (FG-GPL)-reinforced porous thick rings with open-cell internal cavities under a uniform external pressure. The generalized rule of mixture and the modified Halpin–Tsai model are here used to evaluate the effective mechanical properties of the ring. Three types of porosity patterns are assumed together with five different GPL distributions as reinforcement across the ring thickness. The theoretical formulation relies on a 2D-plane stress linear elasticity theory and Green strain field in conjunction a virtual work principle to derive the nonlinear governing equations of the post-buckling problem. Unlike the simple ring models, 2D elasticity considers the thickness stretching. The finite element model combined with an iterative Newton–Raphson algorithm is used to obtain the post-buckling path of the ring up to the collapse. A systematic investigation evaluates the effect of the weight fraction of nanofillers, the coefficient of porosity, porosity distribution, and the GPLs distribution on the deep post-buckling path of the ring. Based on the results, it is found that the buckling value and post-buckling strength increase considerably (by approximately 80%) by increasing the weight fraction of the nanofiller of about 1%.https://www.mdpi.com/2227-7390/11/11/2421ringpost-buckling-functionally gradedporousgraphene plateletsuniform pressure |
| spellingShingle | Shaoping Bi Enming Zhang Masoud Babaei Francesco Tornabene Rossana Dimitri The Influence of GPL Reinforcements on the Post-Buckling Behavior of FG Porous Rings Subjected to an External Pressure Mathematics ring post-buckling-functionally graded porous graphene platelets uniform pressure |
| title | The Influence of GPL Reinforcements on the Post-Buckling Behavior of FG Porous Rings Subjected to an External Pressure |
| title_full | The Influence of GPL Reinforcements on the Post-Buckling Behavior of FG Porous Rings Subjected to an External Pressure |
| title_fullStr | The Influence of GPL Reinforcements on the Post-Buckling Behavior of FG Porous Rings Subjected to an External Pressure |
| title_full_unstemmed | The Influence of GPL Reinforcements on the Post-Buckling Behavior of FG Porous Rings Subjected to an External Pressure |
| title_short | The Influence of GPL Reinforcements on the Post-Buckling Behavior of FG Porous Rings Subjected to an External Pressure |
| title_sort | influence of gpl reinforcements on the post buckling behavior of fg porous rings subjected to an external pressure |
| topic | ring post-buckling-functionally graded porous graphene platelets uniform pressure |
| url | https://www.mdpi.com/2227-7390/11/11/2421 |
| work_keys_str_mv | AT shaopingbi theinfluenceofgplreinforcementsonthepostbucklingbehavioroffgporousringssubjectedtoanexternalpressure AT enmingzhang theinfluenceofgplreinforcementsonthepostbucklingbehavioroffgporousringssubjectedtoanexternalpressure AT masoudbabaei theinfluenceofgplreinforcementsonthepostbucklingbehavioroffgporousringssubjectedtoanexternalpressure AT francescotornabene theinfluenceofgplreinforcementsonthepostbucklingbehavioroffgporousringssubjectedtoanexternalpressure AT rossanadimitri theinfluenceofgplreinforcementsonthepostbucklingbehavioroffgporousringssubjectedtoanexternalpressure AT shaopingbi influenceofgplreinforcementsonthepostbucklingbehavioroffgporousringssubjectedtoanexternalpressure AT enmingzhang influenceofgplreinforcementsonthepostbucklingbehavioroffgporousringssubjectedtoanexternalpressure AT masoudbabaei influenceofgplreinforcementsonthepostbucklingbehavioroffgporousringssubjectedtoanexternalpressure AT francescotornabene influenceofgplreinforcementsonthepostbucklingbehavioroffgporousringssubjectedtoanexternalpressure AT rossanadimitri influenceofgplreinforcementsonthepostbucklingbehavioroffgporousringssubjectedtoanexternalpressure |