Stability of functionally graded carbon nanotube-reinforced variable-thickness circular plates on modified Kerr foundations using third-order shear deformation theory
Archives of Civil and Mechanical Engineering, cilt.26, sa.6, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 26 Sayı: 6
- Basım Tarihi: 2026
- Doi Numarası: 10.1007/s43452-026-01651-x
- Dergi Adı: Archives of Civil and Mechanical Engineering
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Central & Eastern European Academic Source (CEEAS), Compendex, INSPEC, Academic Search Ultimate (EBSCO), Engineering Source (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Anahtar Kelimeler: Buckling, Functionally graded material, Modified Kerr foundation, Nanocomposite circular plate, Variable thickness
- Akdeniz Üniversitesi Adresli: Evet
Özet
This study conducts a comprehensive mechanical buckling analysis of solid circular composite plates with variable-thickness resting on an elastic foundation. The model considers a circular plate made of a functionally graded material (FGM), where both the thickness and the volume fraction of the carbon nanotube (CNT) reinforcement vary radially. The constitutive response of the CNT-reinforced polymer is modeled using the Halpin–Tsai micromechanics approach to establish its effective stiffness. Given the significance of transverse shear and rotary inertia effects, the governing equations are formulated using Reddy’s third-order shear deformation theory (TSDT). Numerical solution of the coupled system is achieved through the Differential Quadrature Method (DQM), resulting in efficient convergence and high computational fidelity. The modified Kerr foundation (MKF) model is employed to represent the elastic support, including Winkler, Pasternak, and coupling stiffness parameters. This study presents a unified buckling formulation that simultaneously accounts for radial thickness tapering, graded CNT reinforcement, and generalized elastic foundation effects. Parametric evaluations assess the impact of thickness distribution laws, boundary conditions, CNT filler concentration, gradation index, and MKF on the critical buckling behavior. The results demonstrate that clamped boundary conditions and increased filler content substantially improve stability, while significant thickness tapering and high gradation indices reduce the critical buckling load. The combined effect of foundation stiffness parameters significantly increases buckling resistance, highlighting the MKF model’s efficiency in simulating realistic support conditions. The formulation delivers an accurate and adaptable framework for analyzing stability and optimizing the design of variable-thickness composite plates.