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Advances in Nano Research Volume 18, Number 1, January 2025 , pages 83-95 DOI: https://doi.org/10.12989/anr.2025.18.1.083 |
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Post-buckling behavior of lattice core sandwich cylindrical shell with functionally graded graphene platelets reinforced face layer resting on elastic foundation |
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Hakan Çağlar, Arzu Çağlar, Alireza Ataei, Rohollah Salmani and Amir Efkar
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| Abstract | ||
| This paper presents the buckling and post-buckling behavior of a sandwich shell with a lattice polymer core and nanocomposite face layer reinforced with graphene platelets. The rule of mixtures is used to determine the effective mechanical properties of graphene platelet-reinforced surfaces at different distributions along the thickness. The governing deflection equations are derived using high-order shear deformation theory and consider the effects of large deformations with nonlinear von Karman strain-displacement relationships. The elastic foundation is modeled using a two-parameter model developed by Winkler-Pasternak. A closed-form solution method utilizing the Ritz energy approach and Airy stress function is employed for solving nonlinear equations and identifying post-buckling paths under external mechanical forces, including radial compression and axial force. Method validation involves comparison with prior studies' results. The analytical solution explores various parameters, including graphene platelet volume fraction, distribution, lattice core geometric characteristics, and elastic substrate properties, on the buckling and post-buckling behavior of the cylindrical shell. Results indicate that, under axial compression, a moderately long cylindrical shell shows a snap-through equilibrium path after buckling. | ||
| Key Words | ||
| analytical solution; graphene platelets reinforcement; high-order shear theory; lattice core; post-buckling; sandwich shell | ||
| Address | ||
| Hakan Çağlar: Faculty of Engineering and Architecture, Department of Civil Engineering, Kirşehir Ahi Evran University, Kirşehir, Turkey Arzu Çağlar: Faculty of Engineering and Architecture, Department of Architecture, Kirşehir Ahi Evran University, Kirşehir, Turkey Alireza Ataei: Department of Mathematics, Faculty of Intelligent Systems Engineering and Data Science, Persian Gulf University, Bushehr, 75169, Iran Rohollah Salmani: Department of Mechanical Engineering, Lahijan Branch, Islamic Azad University, Lahijan, Iran Amir Efkar: School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran | ||