Fractional-order non-Fick mechanical-diffusion coupling model based on new fractional derivatives and structural transient dynamic responses of multilayered composite laminates

Nano-batteries have been widely used in electric vehicles, new energy, and aerospace engineering since their high energy density, low manufacturing cost, and long cycle life. In recent years, there have been many papers that contributed to investigate the diffusion-mechanical coupling problems under...

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Bibliographic Details
Published in:Archive of applied mechanics (1991) 2024-02, Vol.94 (2), p.239-259
Main Authors: Lu, Yaning, Li, Chenlin, He, Tianhu
Format: Article
Language:English
Subjects:
Aerospace engineering
Classical Mechanics
Coupling
Electric vehicles
Engineering
Laminates
Mass transfer
Original
Production costs
Strain relaxation
Theoretical and Applied Mechanics
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Summary:Nano-batteries have been widely used in electric vehicles, new energy, and aerospace engineering since their high energy density, low manufacturing cost, and long cycle life. In recent years, there have been many papers that contributed to investigate the diffusion-mechanical coupling problems under non-uniform molar concentration environments (e.g., rapid charging, etc.). Nevertheless, the memory dependence of strain relaxation and mass transfer has not been considered yet. This paper aims to construct a unified fractional-order non-Fick mechanical-diffusion coupling model by introducing the fractional derivatives of the Caputo (C), Caputo–Fabrizio (CF), Atangana–Baleanu (AB), and Tempered-Caputo (TC) types. The proposed theoretical model is applied to investigate structural transient dynamic responses of multilayered composite laminates with imperfect interfacial conditions by Laplace transformation approach. The influences of different fractional derivatives, imperfect interfacial conditions, and materials constants ratios on the wave propagations and dynamic mechanical-diffusion responses are evaluated and discussed in detail.
ISSN:0939-1533
1432-0681
DOI:10.1007/s00419-023-02518-w