The Influence of GPL Reinforcements on the Post-Buckling Behavior of FG Porous Rings Subjected to an External Pressure
Abstract
:1. Introduction
2. Theoretical Formulation
2.1. Description of the Geometry
2.2. Obtaining the Effective Mechanical Properties of the Ring
2.3. Stress–Strain Relation
3. Finite Element Modelling
4. Numerical Results and Discussion
4.1. Validation of the Present Study
4.2. Post-Buckling Behavior of FG-GPL Porous Ring
4.2.1. The Effect of GPLs Distributions and Weight Fractions
4.2.2. The Effect of Porosity Distribution and Coefficient of Porosity
5. Conclusions
- The maximum and minimum buckling loads and post-buckling strength of the ring belong to GPLX and GPL-O distributions. Besides, for GPL-V and GPL-O, the buckling load values and post-buckling paths are approximately the same;
- The maximum and minimum buckling loads and post-buckling strength of the ring belong to PD1 and PD2, respectively;
- The impact of porosity distribution on the buckling load and post-buckling path is more pronounced than the effect of weight fractions of nanofillers;
- By increasing the weight fraction of nanofiller about 1%, the buckling value and post-buckling strength considerably increase (by approximately 80%);
- By increasing the porosity coefficient from 0.2 to 0.5, the buckling load and post-buckling strength decreases (by approximately 28%);
- The behavior of the post-buckling path of the ring may vary from one point to another.
Author Contributions
Funding
Conflicts of Interest
References
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0.1 | 0.1738 | 0.9361 |
0.2 | 0.3442 | 0.8716 |
0.3 | 0.5103 | 0.8064 |
0.4 | 0.6708 | 0.7404 |
0.5 | 0.8231 | 0.6733 |
0.6 | 0.9612 | 0.6047 |
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Bi, S.; Zhang, E.; Babaei, M.; Tornabene, F.; Dimitri, R. The Influence of GPL Reinforcements on the Post-Buckling Behavior of FG Porous Rings Subjected to an External Pressure. Mathematics 2023, 11, 2421. https://doi.org/10.3390/math11112421
Bi S, Zhang E, Babaei M, Tornabene F, Dimitri R. The Influence of GPL Reinforcements on the Post-Buckling Behavior of FG Porous Rings Subjected to an External Pressure. Mathematics. 2023; 11(11):2421. https://doi.org/10.3390/math11112421
Chicago/Turabian StyleBi, Shaoping, Enming Zhang, Masoud Babaei, Francesco Tornabene, and Rossana Dimitri. 2023. "The Influence of GPL Reinforcements on the Post-Buckling Behavior of FG Porous Rings Subjected to an External Pressure" Mathematics 11, no. 11: 2421. https://doi.org/10.3390/math11112421