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An analytical
method for nanocomposites containing periodic coated fibers
using the eigenfunction expansion-variational method
Junhua Xiao, Xin Zheng and Yuyan Xin |
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Vol. 20 (2025), No. 2, 255–267
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Abstract |
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This study investigates the effective properties of periodic array nanocoated fiber composites through theoretical analysis. Based on the Gurtin–Murdoch surface elasticity theory, an analytical solution for the effective anti-plane shear modulus of periodic nanocoated fiber composites is derived using the unit cell functional variation method for periodic microstructures. The obtained solution is validated against existing results, demonstrating the accuracy and effectiveness of the proposed approach. Furthermore, the influences of coating thickness, material properties, and surface property on the nanocomposites’ effective properties are systematically examined. Additionally, the study reveals the impact of microstructure periodicity ratio and fiber/matrix stiffness matching on the effective modulus. |
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Keywords
surface effect, periodic nanocomposite, coated fiber,
eigenfunction expansion, -variational method
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Milestones
Received: 18 November 2024
Revised: 25 April 2025
Accepted: 31 May 2025
Published: 1 September 2025
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Authors |
| Junhua Xiao | |
| Department of Engineering
Mechanics Yanshan University Qinhuangdao, 066004 China |
Hebei Key Laboratory of Mechanical
Reliability for Heavy Equipments and Large Structures Yanshan University Qinhuangdao, 066004 China |
| Xin Zheng | |
| Department of Engineering
Mechanics Yanshan University Qinhuangdao, 066004 China |
Hebei Key Laboratory of Mechanical
Reliability for Heavy Equipments and Large Structures Yanshan University Qinhuangdao, 066004 China |
| Yuyan Xin | |
| Department of Engineering
Mechanics Hohai University Nanjing, 211100 China |
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| © 2025 MSP (Mathematical Sciences Publishers). |
