Chemical diffusion is vital in materials science and energy technology. Current Fick and non-Fick theories overlook the transient nature of diffusion. By referring to biomechanical axioms, we incorporate the transient expansion process and introduce characteristic time. This paper explores chemo-mechanical coupling in a spherical structure via transient continuum theory. The results show characteristic time changes in the diffusion equation from parabolic to hyperbolic, yielding finite diffusion speed and wave-like behavior, offering a basis for optimizing systems like lithium-ion batteries.
REFERENCES(23)
1.
Chen, J.Y.,Wang, H.L., Yu, P.F., & Shen, S.P. (2017). A finite element implementation of a fully coupled mechanical-chemical theory. International Journal of Applied Mechanics, 9 (3), Article 1750040. https://doi.org/10.1142/s17588....
Chu, J.L., & Lee, S.B. (1994). The effect of chemical stress on diffusion. Journal of Applied Physics, 75 (6), 2823–2829. https://doi.org/10.1063/1.3561....
Dai, L., & Xiao, R. (2021). A thermodynamic-consistent model for the thermo-chemo-mechanical couplings in amorphous shape-memory polymers. International Journal of Applied Mechanics, 13 (2), Article 2150022. https://doi.org/10.1142/s17588....
Dong, H.X., & Jiang, R.Q. (1995). Theoretical study of mass transfer behavior in transient mass transfer process (in Chinese). Journal of Harbin Engineering University, 16 (3), 88–94.
Konica, S., & Sain, T. (2020). A thermodynamically consistent chemo-mechanically coupled large deformation model for polymer oxidation. Journal of the Mechanics and Physics of Solids, 137, Article 103858. https://doi.org/10.1016/j.jmps....
Kuang, Z.B. (2014). Discussions on the temperature wave equation. International Journal of Heat and Mass Transfer, 71, 424–430. https://doi.org/10.1016/j.ijhe....
Li, J.C.M. (1978). Physical chemistry of some microstructural phenomena. Metallurgical and Materials Transactions A, 9 (10), 1353–1380. https://doi.org/10.1007/BF0266....
Li, X., Gao, J., Zhou, W., & Li, H. (2024). Application of COMSOL multiphysics in lithium-ion batteries (in Chinese). Energy Storage Science and Technology, 13 (2), 546–567. https://doi.org/10.19799/j.cnk....
Liu, K.C. (2007). Simultaneous estimation of relaxation time and diffusion coefficient during the rapid transient mass transfer. Journal of the Chinese Society of Mechanical Engineers, 28 (5), 541–547. https://doi.org/10.29979/JCSME....
Nguyen, T.T., Waldmann, D., & Bui, T.Q. (2019). Computational chemo-thermo-mechanical coupling phase-field model for complex fracture induced by early-age shrinkage and hydration heat in cement-based materials. Computer Methods in Applied Mechanics and Engineering, 348, 1–28. https://doi.org/10.1016/j.cma.....
Suo, Y.H., Hu, H., & Liu, J. (2021). Fully chemo-mechanical coupling analysis of a spherical electrode with reversible chemical reaction. International Journal of Energy Research, 45 (6), 9667–9676. https://doi.org/10.1002/er.643....
Suo, Y.H., & Shen, S.P. (2013a). Analytical solution for 2D non-Fickian transient mass transfer with arbitrary initial and periodic boundary conditions. ASME Journal of Heat and Mass Transfer, 135 (8), Article 082001. https://doi.org/10.1115/1.4024....
Yu, P.F., & Shen, S.P. (2014). A fully coupled theory and variational principle for thermal-electrical-chemical-mechanical processes. Journal of Applied Mechanics, 81 (11), Article 111005. https://doi.org/10.1115/1.4028....
Zhang, K., Li, Y., Wang, F., Zheng, B.L., & Yang, F.Q. (2019). A phase-field study of the effect of local deformation velocity on lithiation-induced stress in wire-like structures. Journal of Physics D: Applied Physics, 52 (14), Article 145501. https://doi.org/10.1088/1361-6....
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