Finite element-based buckling analysis of bio-inspired laminated composite plates

Year 2025, Volume: 1 Issue: 1, 1 - 5, 28.02.2025

Aman Garg

Abstract

The helicoidal structures can cater to the loads effectively and efficiently without large deflections or stresses. These structures can even sustain environmental loads without failing. Also, these structures can take impact loads without failing. The present work aims to carry out buckling analysis of bio-inspired helicoidal laminated composite plates using finite element-based model within the framework of ANSYS. The plate is modeled using SOLID191 finite element (20-node 3D layered structural solid). The present model is validated by comparing the present results with those available in the literature. Influence of end conditions over the buckling behavior of bio-inspired helicoidal laminated composite plates is explored. Some new results are also presented in the present work, which will serve as the benchmark for future studies.

Keywords

buckling, bio-inspired plate, helicoidal plate, finite element

References

• Garg, A., & Chalak, H.D. (2021). Bending analysis of laminated sandwich plates under hygrothermal loadings. Materials Today: Proceedings, 42, 626–630. https://doi.org/10.1016/j.matpr.2020.11.045.
• Bouligand, Y. (1972). Twisted fibrous arrangements in biological materials and cholesteric mesophases. Tissue Cell, 4, 189–217. https://doi.org/10.1016/S0040-8166(72)80042-9.
• Ha, N.S., & Lu, G. (2020). A review of recent research on bio-inspired structures and materials for energy absorption applications. Composites Part B: Engineering, 181, 107496. https://doi.org/10.1016/j.compositesb.2019.107496.
• Wang, H., Wang, C., Hazell, P. J., Wright, A., Zhang, Z., Lan, X., Zhang, K., & Zhou, M. (2021). Insights into the high-velocity impact behaviour of bio-inspired composite laminates with helicoidal lay-ups. Polymer Testing, 103, 107348. https://doi.org/https://doi.org/10.1016/j.polymertesting.2021.107348.
• Reddy, J.N. (1989). On refined computational models of composite laminates. International Journal for Numerical Methods in Engineering, 27, 361–382. https://doi.org/10.1002/nme.1620270210.
• Noor, A.K., & Burton, W.S. (1992). Computational Models for High-Temperature Multilayered Composite Plates and Shells. Applied Mechanics Reviews, 45, 419–446. https://doi.org/10.1115/1.3119742.
• Zhang, Y.X., & Yang, C.H. (2009). Recent developments in finite element analysis for laminated composite plates. Composite Structures, 88, 147–157. https://doi.org/10.1016/j.compstruct.2008.02.014.
• Liew, K.M., Zhao, X., & Ferreira, A.J.M. (2011). A review of meshless methods for laminated and functionally graded plates and shells. Composite Structures, 93, 2031–2041. https://doi.org/10.1016/j.compstruct.2011.02.018.
• Sayyad, A.S., & Ghugal, Y.M. (2015). On the free vibration analysis of laminated composite and sandwich plates: A review of recent literature with some numerical results, Composite Structures, 129, 177–201. https://doi.org/10.1016/j.compstruct.2015.04.007.
• Garg, A., & Chalak, H.D. (2019). A review on analysis of laminated composite and sandwich structures under hygrothermal conditions. Thin-Walled Structures. 142, 205–226. https://doi.org/10.1016/j.tws.2019.05.005.
• Liew, K.M., Pan, Z.Z., & Zhang, L.W. (2019). An overview of layerwise theories for composite laminates and structures: Development, numerical implementation and application. Composite Structures, 216, 240–259. https://doi.org/10.1016/j.compstruct.2019.02.074.
• Garg, A., Chalak, H.D., Belarbi, M.-O., & Zenkour, A.M. (2022). A parametric analysis of free vibration and bending behavior of sandwich beam containing an open-cell metal foam core. Archives of Civil and Mechanical Engineering, 22, 56. https://doi.org/10.1007/s43452-021-00368-3.
• Mohamed, S., Mohamed, N., & Eltaher, M.A. (2022). Bending, buckling and linear vibration of bio-inspired composite plates. Ocean Engineering, 259, 111851. https://doi.org/10.1016/j.oceaneng.2022.111851.
• Sharma, A., Belarbi, M.O., Garg, A., & Li, L. (2023). Bending analysis of bio-inspired helicoidal/Bouligand laminated composite plates. Mechanics of Advanced Materials and Structures, 0, 1–15. https://doi.org/10.1080/15376494.2023.2214934.
• Garg, A., Belarbi, M.-O., Li, L., Sharma, N., Gupta, A., & Chalak, H.D. (2023). Free vibration analysis of bio-inspired helicoid laminated composite plates. Journal of Strain Analysis for Engineering Design, 030932472311604. https://doi.org/10.1177/03093247231160414.
• Garg, A., Belarbi, M.O., Chalak, H.D., Li, L., Sharma, A., Avcar, M., Sharma, N., Paruthi, S., & Gulia, R. (2023). Buckling and free vibration analysis of bio-inspired laminated sandwich plates with helicoidal/Bouligand face sheets containing softcore. Ocean Engineering, 270, 113684. https://doi.org/10.1016/j.oceaneng.2023.113684.
• Sharma, A., Tonk, A., Garg, A., Li, L., & Chalak, H.D. (2023). First-Ply Failure Analysis of Bioinspired Double and Cross-Helicoidal Laminated Sandwich Plates. AIAA Journal, 1–9. https://doi.org/10.2514/1.J063176.
• Cheng, L., Thomas, A., Glancey, J.L., & Karlsson, A.M. (2010). Mechanical behavior of bio-inspired laminated composites. Composites Part A: Applied Science and Manufacturing, 42, 211–220. https://doi.org/10.1016/j.compositesa.2010.11.009.
• Singh, A., Garg, A., & Sahu, V. (2023). Stability and mode shape analysis of doubly-and cross-helicoidal laminated sandwich plates inspired from dactyl’s club. Mechanics of Advanced Materials and Structures, 1-17. https://doi.org/10.1080/15376494.2023.2263000.
• Garg, A., & Chalak, H.D. (2021). Analysis of non-skew and skew laminated composite and sandwich plates under hygro-thermo-mechanical conditions including transverse stress variations. Journal of Sandwich Structures and Materials, 23, 3471–3494. https://doi.org/10.1177/1099636220932782.