Closed-form solution for the analysis of novel lightweight smart spherical shells for advanced sports ball applications.

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Bibliographic Details
Title: Closed-form solution for the analysis of novel lightweight smart spherical shells for advanced sports ball applications.
Authors: Sun, Junjie1 (AUTHOR) j.sun126@outlook.com, Wang, Jingyi2 (AUTHOR) eng.j.wang12@gmail.com
Source: International Journal of Modern Physics C: Computational Physics & Physical Computation. Oct2026, Vol. 37 Issue 10, p1-29. 29p.
Subjects: Spherical shells (Engineering), Carbon nanotubes, Electromechanical effects, Piezoelectric detectors, Sporting goods, Shear (Mechanics)
Abstract: This study investigates the mechanical behavior of lightweight spherical shell structures tailored for high-performance sports ball applications, such as soccer balls and basketballs. The proposed configuration consists of two piezoelectric facesheets reinforced with Carbon Nanotubes (CNTs) and a Functionally Graded (FG) porous core. Each layer exhibits gradation in material properties to closely mimic realistic structural behavior under dynamic sporting conditions. External electric voltages are applied to the piezoelectric facesheets to activate electromechanical coupling, with CNTs enhancing actuation and sensing capabilities — ideal for smart sports equipment. The model formulation employs von Kármán-type geometric nonlinearity in conjunction with First-order Shear Deformation Theory (FSDT). Governing equations are derived using the virtual displacement principle and variational methods, and are analytically solved via Fourier series expansions. Parametric studies evaluate the effects of porosity index, pore and CNT distribution patterns and other structural parameters on shell deflection and mechanical responsiveness. Results highlight the potential of these smart nanocomposite shells in developing next-generation sports balls with real-time sensing, adaptive stiffness, and improved durability. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:This study investigates the mechanical behavior of lightweight spherical shell structures tailored for high-performance sports ball applications, such as soccer balls and basketballs. The proposed configuration consists of two piezoelectric facesheets reinforced with Carbon Nanotubes (CNTs) and a Functionally Graded (FG) porous core. Each layer exhibits gradation in material properties to closely mimic realistic structural behavior under dynamic sporting conditions. External electric voltages are applied to the piezoelectric facesheets to activate electromechanical coupling, with CNTs enhancing actuation and sensing capabilities — ideal for smart sports equipment. The model formulation employs von Kármán-type geometric nonlinearity in conjunction with First-order Shear Deformation Theory (FSDT). Governing equations are derived using the virtual displacement principle and variational methods, and are analytically solved via Fourier series expansions. Parametric studies evaluate the effects of porosity index, pore and CNT distribution patterns and other structural parameters on shell deflection and mechanical responsiveness. Results highlight the potential of these smart nanocomposite shells in developing next-generation sports balls with real-time sensing, adaptive stiffness, and improved durability. [ABSTRACT FROM AUTHOR]
ISSN:01291831
DOI:10.1142/S0129183125501608