Electro-chemo-mechanical analysis of the effect of bending deformation on the interface of flexible solid-state battery

doi:10.1007/s10483-023-2920-7

Applied Mathematics and Mechanics (English Edition) ›› 2023, Vol. 44 ›› Issue (2): 189-206.doi: https://doi.org/10.1007/s10483-023-2920-7

Electro-chemo-mechanical analysis of the effect of bending deformation on the interface of flexible solid-state battery

Yutao SHI¹, Chengjun XU¹, Bingbing CHEN², Jianqiu ZHOU², Rui CAI³

1. School of Mechanical and Power Engineering, Nanjing Tech University, Nanjing 210000, China;
2. School of Energy Science and Engineering, Nanjing Tech University, Nanjing 210000, China;
3. State Key Laboratory of Materials-Oriented Chemical Engineering, Nanjing Tech University, Nanjing 210009, China

收稿日期:2022-04-07 修回日期:2022-11-17 发布日期:2023-02-04
通讯作者: Jianqiu ZHOU, E-mail: zhouj@njtech.edu.cn
基金资助:
the National Natural Science Foundation of China (No. 11902144), the Postgraduate Research & Practice Innovation Program of Jiangsu Province of China (No. KYCX20 1074), the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (No. 19KJB430022), and the Guizhou Provincial General Undergraduate Higher Education Technology Supporting Talent Support Program (No. KY(2018)043)

Electro-chemo-mechanical analysis of the effect of bending deformation on the interface of flexible solid-state battery

Yutao SHI¹, Chengjun XU¹, Bingbing CHEN², Jianqiu ZHOU², Rui CAI³

1. School of Mechanical and Power Engineering, Nanjing Tech University, Nanjing 210000, China;
2. School of Energy Science and Engineering, Nanjing Tech University, Nanjing 210000, China;
3. State Key Laboratory of Materials-Oriented Chemical Engineering, Nanjing Tech University, Nanjing 210009, China

Received:2022-04-07 Revised:2022-11-17 Published:2023-02-04
Contact: Jianqiu ZHOU, E-mail: zhouj@njtech.edu.cn
Supported by:
the National Natural Science Foundation of China (No. 11902144), the Postgraduate Research & Practice Innovation Program of Jiangsu Province of China (No. KYCX20 1074), the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (No. 19KJB430022), and the Guizhou Provincial General Undergraduate Higher Education Technology Supporting Talent Support Program (No. KY(2018)043)

摘要/Abstract

摘要： Flexible solid-state battery has several unique characteristics including high flexibility, easy portability, and high safety, which may have broad application prospects in new technology products such as rollup displays, power implantable medical devices, and wearable equipments. The interfacial mechanical and electrochemical problems caused by bending deformation, resulting in the battery damage and failure, are particularly interesting. Herein, a fully coupled electro-chemo-mechanical model is developed based on the actual solid-state battery structure. Concentration-dependent material parameters, stress-dependent diffusion, and potential shift are considered. According to four bending forms (k = 8/mm, 0/mm, -8/mm, and free), the results show that the negative curvature bending is beneficial to reducing the plastic strain during charging/discharging, while the positive curvature is detrimental. However, with respect to the electrochemical performance, the negative curvature bending creates a negative potential shift, which causes the battery to reach the cut-off voltage earlier and results in capacity loss. These results enlighten us that suitable electrode materials and charging strategy can be tailored to reduce plastic deformation and improve battery capacity for different forms of battery bending.

关键词: solid-state battery, electro-chemo-mechanical coupling model, bending deformation, phase-transformation, plastic deformation

Abstract: Flexible solid-state battery has several unique characteristics including high flexibility, easy portability, and high safety, which may have broad application prospects in new technology products such as rollup displays, power implantable medical devices, and wearable equipments. The interfacial mechanical and electrochemical problems caused by bending deformation, resulting in the battery damage and failure, are particularly interesting. Herein, a fully coupled electro-chemo-mechanical model is developed based on the actual solid-state battery structure. Concentration-dependent material parameters, stress-dependent diffusion, and potential shift are considered. According to four bending forms (k = 8/mm, 0/mm, -8/mm, and free), the results show that the negative curvature bending is beneficial to reducing the plastic strain during charging/discharging, while the positive curvature is detrimental. However, with respect to the electrochemical performance, the negative curvature bending creates a negative potential shift, which causes the battery to reach the cut-off voltage earlier and results in capacity loss. These results enlighten us that suitable electrode materials and charging strategy can be tailored to reduce plastic deformation and improve battery capacity for different forms of battery bending.

Key words: solid-state battery, electro-chemo-mechanical coupling model, bending deformation, phase-transformation, plastic deformation

中图分类号:

74H45

Yutao SHI, Chengjun XU, Bingbing CHEN, Jianqiu ZHOU, Rui CAI. Electro-chemo-mechanical analysis of the effect of bending deformation on the interface of flexible solid-state battery[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(2): 189-206.

参考文献

[1] SHEN, L., DENG, S., JIANG, R., LIU, G., YANG, J., and YAO, X. Flexible composite solid electrolyte with 80 wt% Na_3.4Zr_1.9Zn_0.1Si_2.2P_0.8O₁₂ for solid-state sodium batteries. Energy Storage Materials, 46, 175–181(2022)
[2] SHI, Y., JI, J., YIN, Y., LI, Y., and XING, Y. Analytical transient phase change heat transfer model of wearable electronics with a thermal protection substrate. Applied Mathematics and Mechanics (English Edition), 41(11), 1599–1610(2020) https://doi.org/10.1007/s10483-020-2671-7
[3] ZHU, J., WIERZBICKI, T., and LI, W. A review of safety-focused mechanical modeling of commercial lithium-ion batteries. Journal of Power Sources, 378, 153–168(2018)
[4] QIAN, Y., LU, B., BAO, Y., ZHAO, Y., SONG, Y., and ZHANG, J. Prelithiation design for suppressing delamination in lithium-ion battery electrodes. Applied Mathematics and Mechanics (English Edition), 42(12), 1703–1716(2021) https://doi.org/10.1007/s10483-021-2800-8
[5] ZHENG, F., KOTOBUKI, M., SONG, S., LAI, M. O., and LU, L. Review on solid electrolytes for all-solid-state lithium-ion batteries. Journal of Power Sources, 389, 198–213(2018)
[6] ZHAO, Z., LI, F., ZHAO, J., DING, G., WANG, J., DU, X., ZHOU, Q., HOU, G., and CUI, G. Ionic-association-assisted viscoelastic nylon electrolytes enable synchronously coupled interface for solid batteries. Advanced Functional Materials, 30(21), 2000347(2020)
[7] LI, H., HAN, C., HUANG, Y., HUANG, Y., ZHU, M., PEI, Z., XUE, Q., WANG, Z., LIU, Z., TANG, Z., WANG, Y., KANG, F., LI, B., and ZHI, C. An extremely safe and wearable solid-state zinc ion battery based on a hierarchical structured polymer electrolyte. Energy & Environmental Science, 11(4), 941–951(2018)
[8] QIAN, G., LIAO, X., ZHU, Y., PAN, F., CHEN, X., and YANG, Y. Designing flexible lithium-ion batteries by structural engineering. ACS Energy Letters, 4(3), 690–701(2019)
[9] MA, J., CHEN, B., WANG, L., and CUI, G. Progress and prospect on failure mechanisms of solid-state lithium batteries. Journal of Power Sources, 392, 94–115(2018)
[10] WANG, P., QU, W., SONG, W., CHEN, H., CHEN, R., and FANG, D. Electro-chemo-mechanical issues at the interfaces in solid-state lithium metal batteries. Advanced Functional Materials, 29(27), 1900950(2019)
[11] LI, N., YANG, S., CHEN, H., JIAO, S., and SONG, W. Mechano-electrochemical perspectives on flexible lithium-ion batteries. International Journal of Minerals, Metallurgy and Materials, 29(5), 1019–1036(2022)
[12] RASHEED, T., NAVEED, A., CHEN, J., RAZA, B., and WANG, J. Revisiting the role of polymers as renewable and flexible materials for advanced batteries. Energy Storage Materials, 45, 1012–1039(2022)
[13] ZHANG, Y., LI, F., YANG, K., LIU, X., CHEN, Y., LAO, Z., MAI, K., and ZHANG, Z. Polymer molecular engineering enables rapid electron/ion transport in ultra-thick electrode for high-energydensity flexible lithium-ion battery. Advanced Functional Materials, 31(19), 2100434(2021)
[14] SEPULVEDA, A., SPEULMANNS, J., and VEREECKEN, P. M. Bending impact on the performance of a flexible Li₄Ti₅O₁₂-based all-solid-state thin-film battery. Science and Technology of Advanced Materials, 19(1), 454–464(2018)
[15] XIE, C., CHANG, J., SHANG, J., WANG, L., GAO, Y., HUANG, Q., and ZHENG, Z. Hybrid lithium-ion/metal electrodes enable long cycle stability and high energy density of flexible batteries. Advanced Functional Materials, 32(34), 2203242(2022)
[16] ZHANG, K., LI, Y., WANG, F., ZHENG, B., YANG, F., and LU, D. An analytical model for lithiation-induced concurrent plastic flow and phase transformation in a cylindrical silicon electrode. International Journal of Solids and Structures, 202, 87–98(2020)
[17] GAO, E., LU, B., ZHAO, Y., FENG, J., SONG, Y., and ZHANG, J. Stress-regulated protocols for fast charging and long cycle life in lithium-ion batteries: modeling and experiments. Journal of the Electrochemical Society, 168(6), 60549(2021)
[18] SHI, Y., WENG, L., ZHANG, Y., XU, C., CHEN, Q., CHEN, B., ZHOU, J., and CAI, R. Chemomechanical analysis of ratcheting deformation in silicon particle electrode under cyclic charging and discharging. Mechanics of Materials, 162, 104062(2021)
[19] KOERVER, R., ZHANG, W., SCHWEIDLER, S., KONDRAKOV, A. O., KOLLING, S., BREZESINSKI, T., HARTMANN, P., ZEIER, W. G., and JANEK, J. Chemo-mechanical expansion of lithium electrode materials-on the route to mechanically optimized all-solid-state batteries. Energy & Environmental Science, 11(8), 2142–2158(2018)
[20] ZHAO, Y., STEIN, P., BAI, Y., AL-SIRAJ, M., YANG, Y., and XU, B. A review on modeling of electro-chemo-mechanics in lithium-ion batteries. Journal of Power Sources, 413, 259–283(2019)
[21] REZAEI, S., ASHERI A., and XU, B. A consistent framework for chemo-mechanical cohesive fracture and its application in solid-state batteries. Journal of the Mechanics and Physics of Solids, 157, 104612(2021)
[22] SONG, X., LU, Y., WANG, F., ZHAO, X., and CHEN, H. A coupled electro-chemo-mechanical model for all-solid-state thin film Li-ion batteries: the effects of bending on battery performances. Journal of Power Sources, 452, 227803(2020)
[23] SUN, F., WANG, C., OSENBERG, M., DONG, K., ZHANG, S., YANG, C., WANG, Y., HILGER, A., ZHANG, J., DONG, S., MARKOTTER, H., MANKE, I., and CUI, G. Clarifying the electrochemo-mechanical coupling in Li₁₀SnP₂S₁₂ based all-solid-state batteries. Advanced Energy Materials, 12(13), 2103714(2022)
[24] DI LEO, C. V., REJOVITZKY, E., and ANAND, L. Diffusion-deformation theory for amorphous silicon anodes: the role of plastic deformation on electrochemical performance. International Journal of Solids and Structures, 67-68, 283–296(2015)
[25] BAGHERI, A., ARGHAVANI, J., NAGHDABADI, R., and BRASSART, L. A theory for coupled lithium insertion and viscoplastic flow in amorphous anode materials for Li-ion batteries. Mechanics of Materials, 152, 103663(2021)
[26] GUO, K., ZHANG, W., SHELDON, B. W., and GAO, H. Concentration dependent properties lead to plastic ratcheting in thin island electrodes on substrate under cyclic charging and discharging. Acta Materialia, 164, 261–271(2019)
[27] STORAN, D., AHAD, S. A., FORDE, R., KILIAN, S., ADEGOKE, T. E., KENNEDY, T., GEANEY, H., and RYAN, K. M. Silicon nanowire growth on carbon cloth for flexible Li-ion battery anodes. Materials Today Energy, 27, 101030(2022)
[28] SHI, Y., XU, C., WENG, L., WEI, Y., CHEN, B., WANG, Y., ZHOU, J., and CAI, R. The effect of bending deformation on flexible electrodes during charging and discharging. Mechanics of Materials, 161, 104024(2021)
[29] XU, C., WENG, L., CHEN, B., JI, L., ZHOU, J., CAI, R., and LU, S. Modeling of the ratcheting behavior in flexible electrodes during cyclic deformation. Journal of Power Sources, 446, 227353(2020)
[30] XU, C., WENG, L., JI, L., and ZHOU, J. An analytical model for the fracture behavior of the flexible lithium-ion batteries under bending deformation. European Journal of MechanicsA/Solids, 73, 47–56(2019)
[31] DANILOV, D., NIESSEN, R. A. H., and NOTTEN, P. H. L. Modeling all-solid-state Li-ion batteries. Journal of the Electrochemical Society, 158(3), A215(2011)
[32] WAN, T. H. and CIUCCI, F. Electro-chemo-mechanical modeling of solid-state batteries. Electrochimica Acta, 331, 135355(2020)
[33] LI, Y., ZHANG, Q., ZHANG, K., and YANG, F. Coupling effects of self-limiting lithiation, reaction front evolution and free volume evolution on chemical stress in amorphous wire-based electrodes. Journal of Power Sources, 457, 228016(2020)
[34] CAHN, J. W. and HILLIARD, J. E. Free energy of a nonuniform system, I: interfacial free energy. The Journal of Chemical Physics, 28(2), 258–267(1958)
[35] SINGH, G. K., CEDER, G., and BAZANT, M. Z. Intercalation dynamics in rechargeable battery materials: general theory and phase-transformation waves in LiFePO₄. Electrochimica Acta, 53(26), 7599–7613(2008)
[36] HAFTBARADARAN, H., MADDAHIAN, A., and MOSSAIBY, F. A fracture mechanics study of the phase separating planar electrodes: phase field modeling and analytical results. Journal of Power Sources, 350, 127–139(2017)
[37] WU, B. and LU, W. A consistently coupled multiscale mechanical: electrochemical battery model with particle interaction and its validation. Journal of the Mechanics and Physics of Solids, 125, 89–111(2019)
[38] LIU, Y., GUO, K., WANG, C., HAN, J., and GAO, H. Concentration dependent properties and plastic deformation facilitate instability of the solid-electrolyte interphase in Li-ion batteries. International Journal of Solids and Structures, 198, 99–109(2020)
[39] TALIN, A. A., RUZMETOV, D., KOLMAKOV, A., MCKELVEY, K., WARE, N., GABALY, F., DUNN, B., and WHITE, H. S. Fabrication, testing, and simulation of all-solid-state threedimensional Li-ion batteries. ACS Applied Materials & Interfaces, 8(47), 32385–32391(2016)
[40] TIAN, H., CHAKRABORTY, A., TALIN, A. A., EISENLOHR, P., and QI, Y. Evaluation of the electrochemo-mechanically induced stress in all-solid-state Li-ion batteries. Journal of the Electrochemical Society, 167(9), 90541(2020)
[41] RAIJMAKERS, L. H. J., DANILOV, D. L., EICHEL, R. A., and NOTTEN, P. H. L. An advanced all-solid-state Li-ion battery model. Electrochimica Acta, 330, 135147(2020)
[42] QI, Y., HECTOR, L. G., JAMES, C., and KIM, K. J. Lithium concentration dependent elastic properties of battery electrode materials from first principles calculations. Journal of the Electrochemical Society, 161(11), 3010–3018(2014)
[43] SONG, Y., LI, Z., and ZHANG, J. Reducing diffusion induced stress in planar electrodes by plastic shakedown and cyclic plasticity of current collector. Journal of Power Sources, 263, 22–28(2014)
[44] WANG, Z. and WANG, Y. Mechanical property of surface textured aluminum foil as current collector. The Chinese Journal of Nonferrous Metals, 29(6), 1250–1256(2019)
[45] SETHURAMAN, V. A., SRINIVASAN, V., BOWER, A. F., and GUDURU, P. R. In situ measurements of stress-potential coupling in lithiated silicon. Journal of the Electrochemical Society, 157(11), A1253(2010)
[46] BUCCI, G., NADIMPALLI, S. P. V., SETHURAMAN, V. A., BOWER, A. F., and GUDURU, P. R. Measurement and modeling of the mechanical and electrochemical response of amorphous Si thin film electrodes during cyclic lithiation. Journal of the Mechanics and Physics of Solids, 62, 276–294(2014)
[47] CHEN, C., OUDENHOVEN, J. F. M., DANILOV, D. L., VEZHLEV, E., GAO, L., LI, N., MULDER, F. M., EICHEL, R., and NOTTEN, P. H. L. Origin of degradation in Si-based allsolid-state Li-ion microbatteries. Advanced Energy Materials, 8(30), 1801430(2018)
[48] BAZANT, M. Z. Theory of chemical kinetics and charge transfer based on nonequilibrium thermodynamics. Accounts of Chemical Research, 46(5), 1144–1160(2012)
[49] LAI, W. and CIUCCI, F. Mathematical modeling of porous battery electrodes: revisit of Newman’s model. Electrochimica Acta, 56(11), 4369–4377(2011)
[50] RIESS, I. and MAIER, J. Current equation for hopping ions on a lattice under high driving force and nondilute concentration. Journal of the Electrochemical Society, 156(1), 7–20(2009)

Electro-chemo-mechanical analysis of the effect of bending deformation on the interface of flexible solid-state battery

Electro-chemo-mechanical analysis of the effect of bending deformation on the interface of flexible solid-state battery

RichHTML

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 5

编辑推荐

Metrics

本文评价

[1]	赵祖武. SOME MISUNDERSTANDINGS ON ROTATION OF CRYSTALS AND REASONABLE PLASTIC STRAIN RATE[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(1): 89-95.
[2]	沈利君;潘立宙;何福保. STUDY ON THE GENERALIZED PRANDTL-REUSS CONSTITUTIVEEQUATION AND THE COROTATIONALRATES OF STRESS TENSOR[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(8): 735-743.
[3]	何宗彦. ELASTIC-PLASTIC CONSTITUTIVE MODELS BASED ON THE MULTIPLICATION PROCESSES OF DEFORMED GRAINS[J]. Applied Mathematics and Mechanics (English Edition), 1996, 17(3): 257-268.
[4]	杜森田;刘寒冰;陈塑寰;连建设. SHAKEDOWN ANALYSIS OF ELASTO-PLASTIC STRUCTURES SUBJECTEDTO EXTERNAL LOADING AND TEMPERATURE VARIATION[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(8): 791-799.
[5]	高键;林晓玲. A PHYSICAL THEORY OF ASYMMETRIC PLASTICITY[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(5): 493-506.