Closed-form solution for the analysis of novel lightweight smart spherical shells for advanced sports ball applications.
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| Title: | Closed-form solution for the analysis of novel lightweight smart spherical shells for advanced sports ball applications. |
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| 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] |
| Copyright of International Journal of Modern Physics C: Computational Physics & Physical Computation is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 193276459 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Closed-form solution for the analysis of novel lightweight smart spherical shells for advanced sports ball applications. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Sun%2C+Junjie%22">Sun, Junjie</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> j.sun126@outlook.com</i><br /><searchLink fieldCode="AR" term="%22Wang%2C+Jingyi%22">Wang, Jingyi</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> eng.j.wang12@gmail.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Modern+Physics+C%3A+Computational+Physics+%26+Physical+Computation%22">International Journal of Modern Physics C: Computational Physics & Physical Computation</searchLink>. Oct2026, Vol. 37 Issue 10, p1-29. 29p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Spherical+shells+%28Engineering%29%22">Spherical shells (Engineering)</searchLink><br /><searchLink fieldCode="DE" term="%22Carbon+nanotubes%22">Carbon nanotubes</searchLink><br /><searchLink fieldCode="DE" term="%22Electromechanical+effects%22">Electromechanical effects</searchLink><br /><searchLink fieldCode="DE" term="%22Piezoelectric+detectors%22">Piezoelectric detectors</searchLink><br /><searchLink fieldCode="DE" term="%22Sporting+goods%22">Sporting goods</searchLink><br /><searchLink fieldCode="DE" term="%22Shear+%28Mechanics%29%22">Shear (Mechanics)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: 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] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of International Journal of Modern Physics C: Computational Physics & Physical Computation is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1142/S0129183125501608 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 29 StartPage: 1 Subjects: – SubjectFull: Spherical shells (Engineering) Type: general – SubjectFull: Carbon nanotubes Type: general – SubjectFull: Electromechanical effects Type: general – SubjectFull: Piezoelectric detectors Type: general – SubjectFull: Sporting goods Type: general – SubjectFull: Shear (Mechanics) Type: general Titles: – TitleFull: Closed-form solution for the analysis of novel lightweight smart spherical shells for advanced sports ball applications. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Sun, Junjie – PersonEntity: Name: NameFull: Wang, Jingyi IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 10 Text: Oct2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 01291831 Numbering: – Type: volume Value: 37 – Type: issue Value: 10 Titles: – TitleFull: International Journal of Modern Physics C: Computational Physics & Physical Computation Type: main |
| ResultId | 1 |
