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Electrochemomechanical coupled behaviors of deformation and failure in electrode materials for lithium-ion batteries

  • HuanZi Liang
  • XingYu ZhangEmail author
  • Le Yang
  • YiKun Wu
  • HaoSen ChenEmail author
  • WeiLi Song
  • DaiNing Fang
Review Special Topic: Chemomechanics
  • 3 Downloads

Abstract

The growing demands of lithium-ion batteries with high energy density motivate the development of high-capacity electrode materials. The critical issue in the commercial application of these electrodes is electrochemomechanical degradation accompanied with the large volume change, built-in stress, and fracture during lithiation and delithiation. The strong and complex couplings between mechanics and electrochemistry have been extensively studied in recent years. The multi-directional couplings, e.g., (de)lithiation-induced effects and stress-regulated effects, require cooperation in the interdisciplinary fields and advance the theoretical and computational models. In this review, we focus on the recent work with topics in the electrochemomechanical couplings of deformation and fracture of conventional and alloying electrodes through experimental characterization, theoretical and computational models. Based on the point of view from mechanics, the strategies for alleviating the degradation are also discussed, with particular perspectives for component-interaction patterns in the composite electrodes. With interdisciplinary principles, comprehensive understanding of the electrochemomechanical coupled mechanism is expected to provide feasible solutions for low-cost, high-capacity, high-safety and durable electrodes for lithium-ion batteries.

Keywords

electrochemomechanical coupling deformation theory fracture electrode materials lithium-ion battery 

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References

  1. 1.
    Mukanova A, Jetybayeva A, Myung S T, et al. A mini-review on the development of Si-based thin film anodes for Li-ion batteries. Mater Today Energy, 2018, 9: 49–66CrossRefGoogle Scholar
  2. 2.
    Franco Gonzalez A, Yang N H, Liu R S. Silicon anode design for lithium-ion batteries: Progress and perspectives. J Phys Chem C, 2017, 121: 27775–27787CrossRefGoogle Scholar
  3. 3.
    Shi Y, Zhou X, Yu G. Material and structural design of novel binder systems for high-energy, high-power lithium-ion batteries. Acc Chem Res, 2017, 50: 2642–2652CrossRefGoogle Scholar
  4. 4.
    Sun Y, Liu N, Cui Y. Promises and challenges of nanomaterials for lithium-based rechargeable batteries. Nat Energy, 2016, 1: 16071CrossRefGoogle Scholar
  5. 5.
    Placke T, Kloepsch R, Dühnen S, et al. Lithium ion, lithium metal, and alternative rechargeable battery technologies: The odyssey for high energy density. J Solid State Electrochem, 2017, 21: 1939–1964CrossRefGoogle Scholar
  6. 6.
    Liu X H, Zhong L, Huang S, et al. Size-dependent fracture of silicon nanoparticles during lithiation. ACS Nano, 2012, 6: 1522–1531CrossRefGoogle Scholar
  7. 7.
    Liu X H, Zheng H, Zhong L, et al. Anisotropic swelling and fracture of silicon nanowires during lithiation. Nano Lett, 2011, 11: 3312–3318CrossRefGoogle Scholar
  8. 8.
    Li J, Dozier A K, Li Y, et al. Crack pattern formation in thin film lithium-ion battery electrodes. J Electrochem Soc, 2011, 158: A689CrossRefGoogle Scholar
  9. 9.
    Timmons A, Dahn J R. Isotropic volume expansion of particles of amorphous metallic alloys in composite negative electrodes for Li-ion batteries. J Electrochem Soc, 2007, 154: A444CrossRefGoogle Scholar
  10. 10.
    McDowell M T, Xia S, Zhu T. The mechanics of large-volume-change transformations in high-capacity battery materials. Extreme Mech Lett, 2016, 9: 480–494CrossRefGoogle Scholar
  11. 11.
    Xu R, Zhao K. Electrochemomechanics of electrodes in Li-ion batteries: A review. J Electrochem En Conv Stor, 2016, 13: 030803CrossRefGoogle Scholar
  12. 12.
    Harris S J, Deshpande R D, Qi Y, et al. Mesopores inside electrode particles can change the Li-ion transport mechanism and diffusion-induced stress. J Mater Res, 2010, 25: 1433–1440CrossRefGoogle Scholar
  13. 13.
    Gabrisch H, Wilcox J, Doeff M M. TEM study of fracturing in spherical and plate-like LiFePO4 particles. Electrochem Solid-State Lett, 2008, 11: A25CrossRefGoogle Scholar
  14. 14.
    Wang H. TEM study of electrochemical cycling-induced damage and disorder in LiCoO2 cathodes for rechargeable lithium batteries. J Electrochem Soc, 1999, 146: 473–480CrossRefGoogle Scholar
  15. 15.
    Gu M, Yang H, Perea D E, et al. Bending-induced symmetry breaking of lithiation in germanium nanowires. Nano Lett, 2014, 14: 4622–4627CrossRefGoogle Scholar
  16. 16.
    McDowell M T, Ryu I, Lee S W, et al. Studying the kinetics of crystalline silicon nanoparticle lithiation with in situ transmission electron microscopy. Adv Mater, 2012, 24: 6034–6041CrossRefGoogle Scholar
  17. 17.
    Lu B, Song Y, Zhang Q, et al. Voltage hysteresis of lithium ion batteries caused by mechanical stress. Phys Chem Chem Phys, 2016, 18: 4721–4727CrossRefGoogle Scholar
  18. 18.
    Cortes F J Q, Boebinger M G, Xu M, et al. Operando synchrotron measurement of strain evolution in individual alloying anode particles within lithium batteries. ACS Energy Lett, 2018, 3: 349–355CrossRefGoogle Scholar
  19. 19.
    de Vasconcelos L S, Xu R, Zhao K. Operando nanoindentation: A new platform to measure the mechanical properties of electrodes during electrochemical reactions. J Electrochem Soc, 2017, 164: A3840–A3847CrossRefGoogle Scholar
  20. 20.
    Hovington P, Dontigny M, Guerfi A, et al. In situ scanning electron microscope study and microstructural evolution of nano silicon anode for high energy Li-ion batteries. J Power Sources, 2014, 248: 45 7–464CrossRefGoogle Scholar
  21. 21.
    Huang J Y, Zhong L, Wang C M, et al. In situ observation of the electrochemical lithiation of a single SnO2 nanowire electrode. Science, 2010, 330: 1515–1520CrossRefGoogle Scholar
  22. 22.
    Sethuraman V A, Chon M J, Shimshak M, et al. In situ measurement of biaxial modulus of Si anode for Li-ion batteries. Electrochem Commun, 2010, 12: 1614–1617CrossRefGoogle Scholar
  23. 23.
    Kim H, Kim M G, Jeong H Y, et al. A new coating method for alleviating surface degradation of LiNi0.6Co0.2Mn0.2O2 cathode material: Nanoscale surface treatment of primary particles. Nano Lett, 2015, 15: 2111–2119CrossRefGoogle Scholar
  24. 24.
    Miller D J, Proff C, Wen J G, et al. Observation of microstructural evolution in Li battery cathode oxide particles by in situ electron microscopy. Adv Energy Mater, 2013, 3: 1098–1103CrossRefGoogle Scholar
  25. 25.
    Chen G, Song X, Richardson T J. Electron microscopy study of the LiFePO4 to FePO4 phase transition. Electrochem Solid-State Lett, 2006, 9: A295CrossRefGoogle Scholar
  26. 26.
    Yan P, Zheng J, Gu M, et al. Intragranular cracking as a critical barrier for high-voltage usage of layer-structured cathode for lithiumion batteries. Nat Commun, 2017, 8: 14101CrossRefGoogle Scholar
  27. 27.
    Qi Y, Xu Q, Van der Ven A. Chemically induced crack instability when electrodes fracture. J Electrochem Soc, 2012, 159: A1838–A1843CrossRefGoogle Scholar
  28. 28.
    Beaulieu L Y, Cumyn V K, Eberman K W, et al. A system for performing simultaneous in situ atomic force microscopy/optical microscopy measurements on electrode materials for lithium-ion batteries. Rev Sci Instrum, 2001, 72: 3313–3319CrossRefGoogle Scholar
  29. 29.
    Beaulieu L Y, Hatchard T D, Bonakdarpour A, et al. Reaction of Li with alloy thin films studied by in situ AFM. J Electrochem Soc, 2003, 150: A1457CrossRefGoogle Scholar
  30. 30.
    Liu X R, Deng X, Liu R R, et al. Single nanowire electrode electrochemistry of silicon anode by in situ atomic force microscopy: Solid electrolyte interphase growth and mechanical properties. ACS Appl Mater Interfaces, 2014, 6: 20317–20323CrossRefGoogle Scholar
  31. 31.
    He Y, Yu X, Li G, et al. Shape evolution of patterned amorphous and polycrystalline silicon microarray thin film electrodes caused by lithium insertion and extraction. J Power Sources, 2012, 216: 131–138CrossRefGoogle Scholar
  32. 32.
    Chen D, Indris S, Schulz M, et al. In situ scanning electron microscopy on lithium-ion battery electrodes using an ionic liquid. J Power Sources, 2011, 196: 6382–6387CrossRefGoogle Scholar
  33. 33.
    Tsuda T, Kanetsuku T, Sano T, et al. In situ SEM observation of the Si negative electrode reaction in an ionic-liquid-based lithium-ion secondary battery. Microscopy, 2015, 64: 159–168CrossRefGoogle Scholar
  34. 34.
    Lee S W, McDowell M T, Choi J W, et al. Anomalous shape changes of silicon nanopillars by electrochemical lithiation. Nano Lett, 2011, 11: 3034–3039CrossRefGoogle Scholar
  35. 35.
    McDowell M T, Lee S W, Harris J T, et al. In situ TEM of two-phase lithiation of amorphous silicon nanospheres. Nano Lett, 2013, 13: 758–764CrossRefGoogle Scholar
  36. 36.
    Liu X H, Huang J Y. In situ TEM electrochemistry of anode materials in lithium ion batteries. Energy Environ Sci, 2011, 4: 3844–3860CrossRefGoogle Scholar
  37. 37.
    Liu X H, Wang J W, Huang S, et al. In situ atomic-scale imaging of electrochemical lithiation in silicon. Nat Nanotech, 2012, 7: 749–756CrossRefGoogle Scholar
  38. 38.
    Goldman J L, Long B R, Gewirth A A, et al. Strain anisotropies and self-limiting capacities in single-crystalline 3D silicon microstructures: Models for high energy density lithium-ion battery anodes. Adv Funct Mater, 2011, 21: 2412–2422CrossRefGoogle Scholar
  39. 39.
    Wang X, Singh S S, Ma T, et al. Quantifying electrochemical reactions and properties of amorphous silicon in a conventional lithiumion battery configuration. Chem Mater, 2017, 29: 5831–5840CrossRefGoogle Scholar
  40. 40.
    Chou C Y, Hwang G S. On the origin of anisotropic lithiation in crystalline silicon over germanium: A first principles study. Appl Surf Sci, 2014, 323: 78–81CrossRefGoogle Scholar
  41. 41.
    Liang W, Yang H, Fan F, et al. Tough germanium nanoparticles under electrochemical cycling. ACS Nano, 2013, 7: 3427–3433CrossRefGoogle Scholar
  42. 42.
    Suresh S, Wu Z P, Bartolucci S F, et al. Protecting silicon film anodes in lithium-ion batteries using an atomically thin graphene drape. ACS Nano, 2017, 11: 5051–5061CrossRefGoogle Scholar
  43. 43.
    Yu C, Li X, Ma T, et al. Silicon thin films as anodes for highperformance lithium-ion batteries with effective stress relaxation. Adv Energy Mater, 2012, 2: 68–73CrossRefGoogle Scholar
  44. 44.
    Soni S K, Sheldon B W, Xiao X, et al. Stress mitigation during the lithiation of patterned amorphous Si islands. J Electrochem Soc, 2012, 159: A38–A43CrossRefGoogle Scholar
  45. 45.
    Rudawski N G, Yates B R, Holzworth M R, et al. Ion beam-mixed Ge electrodes for high capacity Li rechargeable batteries. J Power Sources, 2013, 223: 336–340CrossRefGoogle Scholar
  46. 46.
    Sethuraman V A, Srinivasan V, Bower A F, et al. In situ measurements of stress-potential coupling in lithiated silicon. J Electrochem Soc, 2010, 157: A1253CrossRefGoogle Scholar
  47. 47.
    Jangid M K, Sonia F J, Kali R, et al. Insights into the effects of multi-layered graphene as buffer/interlayer for a-Si during lithiation/delithiation. Carbon, 2017, 111: 602–616CrossRefGoogle Scholar
  48. 48.
    Nadimpalli S P V, Tripuraneni R, Sethuraman V A. Real-time stress measurements in germanium thin film electrodes during electrochemical lithiation/delithiation cycling. J Electrochem Soc, 2015, 162: A2840–A2846CrossRefGoogle Scholar
  49. 49.
    Bucci G, Nadimpalli S P V, Sethuraman V A, et al. Measurement and modeling of the mechanical and electrochemical response of amorphous Si thin film electrodes during cyclic lithiation. J Mech Phys Solids, 2014, 62: 276–294CrossRefGoogle Scholar
  50. 50.
    Mukhopadhyay A, Kali R, Badjate S, et al. Plastic deformation associated with phase transformations during lithiation/delithiation of Sn. Scripta Mater, 2014, 92: 47–50CrossRefGoogle Scholar
  51. 51.
    Nadimpalli S P V, Sethuraman V A, Bucci G, et al. On plastic deformation and fracture in Si films during electrochemical lithiation/delithiation cycling. J Electrochem Soc, 2013, 160: A1885–A1893CrossRefGoogle Scholar
  52. 52.
    Chon M J, Sethuraman V A, McCormick A, et al. Real-time measurement of stress and damage evolution during initial lithiation of crystalline silicon. Phys Rev Lett, 2011, 107: 045503CrossRefGoogle Scholar
  53. 53.
    Ulvestad A, Clark J N, Singer A, et al. In situ strain evolution during a disconnection event in a battery nanoparticle. Phys Chem Chem Phys, 2015, 17: 10551–10555CrossRefGoogle Scholar
  54. 54.
    Ulvestad A, Cho H M, Harder R, et al. Nanoscale strain mapping in battery nanostructures. Appl Phys Lett, 2014, 104: 073108CrossRefGoogle Scholar
  55. 55.
    Amanieu H Y, Aramfard M, Rosato D, et al. Mechanical properties of commercial LixMn2O4cathode under different states of charge. Acta Mater, 2015, 89: 153–162CrossRefGoogle Scholar
  56. 56.
    Berla L A, Lee S W, Cui Y, et al. Mechanical behavior of electrochemically lithiated silicon. J Power Sources, 2015, 273: 41–51CrossRefGoogle Scholar
  57. 57.
    Qi Y, Guo H, Hector L G, et al. Threefold increase in the Young’s modulus of graphite negative electrode during lithium intercalation. J Electrochem Soc, 2010, 157: A558CrossRefGoogle Scholar
  58. 58.
    Shenoy V B, Johari P, Qi Y. Elastic softening of amorphous and crystalline Li-Si phases with increasing Li concentration: A first-principles study. J Power Sources, 2010, 195: 6825–6830CrossRefGoogle Scholar
  59. 59.
    Maxisch T, Ceder G. Elastic properties of olivine LixFePO4 from first principles. Phys Rev B, 2006, 73: 174112CrossRefGoogle Scholar
  60. 60.
    Qi Y, Hector Jr. L G, James C, et al. Lithium concentration dependent elastic properties of battery electrode materials from first principles calculations. J Electrochem Soc, 2014, 161: F3010–F3018CrossRefGoogle Scholar
  61. 61.
    Stournara M E, Guduru P R, Shenoy V B. Elastic behavior of crystalline Li-Sn phases with increasing Li concentration. J Power Sources, 2012, 208: 165–169CrossRefGoogle Scholar
  62. 62.
    Hertzberg B, Benson J, Yushin G. Ex-situ depth-sensing indentation measurements of electrochemically produced Si-Li alloy films. Electrochem Commun, 2011, 13: 818–821CrossRefGoogle Scholar
  63. 63.
    Ratchford J B, Schuster B E, Crawford B A, et al. Young’s modulus of polycrystalline Li22Si5. J Power Sources, 2011, 196: 7747–7749CrossRefGoogle Scholar
  64. 64.
    Ratchford J B, Crawford B A, Wolfenstine J, et al. Young’s modulus of polycrystalline Li12Si7 using nanoindentation testing. J Power Sources, 2012, 211: 1–3CrossRefGoogle Scholar
  65. 65.
    Sitinamaluwa H, Nerkar J, Wang M, et al. Deformation and failure mechanisms of electrochemically lithiated silicon thin films. RSC Adv, 2017, 7: 13487–13497CrossRefGoogle Scholar
  66. 66.
    Ma Z, Xie Z, Wang Y, et al. Softening by electrochemical reaction-induced dislocations in lithium-ion batteries. Scripta Mater, 2017, 127: 33–36CrossRefGoogle Scholar
  67. 67.
    Wolfenstine J, Allen J L, Jow T R, et al. LiCoPO4 mechanical properties evaluated by nanoindentation. Ceramics Int, 2014, 40: 13673–13677CrossRefGoogle Scholar
  68. 68.
    Hu X, Qiang W, Huang B. Surface layer design of cathode materials based on mechanical stability towards long cycle life for lithium secondary batteries. Energy Storage Mater, 2017, 8: 141–146CrossRefGoogle Scholar
  69. 69.
    Swallow J G, Woodford W H, McGrogan F P, et al. Effect of electrochemical charging on elastoplastic properties and fracture toughness of LiXCoO2. J Electrochem Soc, 2014, 161: F3084–F3090CrossRefGoogle Scholar
  70. 70.
    Qaiser N, Kim Y J, Hong C S, et al. Numerical modeling of fracture-resistant Sn micropillars as anode for lithium ion batteries. J Phys Chem C, 2016, 120: 6953–6962CrossRefGoogle Scholar
  71. 71.
    Boles S T, Thompson C V, Kraft O, et al. In situ tensile and creep testing of lithiated silicon nanowires. Appl Phys Lett, 2013, 103: 263906CrossRefGoogle Scholar
  72. 72.
    Ramdon S, Bhushan B. Nanomechanical characterization and mechanical integrity of unaged and aged Li-ion battery cathodes. J Power Sources, 2014, 246: 219–224CrossRefGoogle Scholar
  73. 73.
    Zhang P, Ma Z, Jiang W, et al. Mechanical properties of Li-Sn alloys for Li-ion battery anodes: A first-principles perspective. AIP Adv, 2016, 6: 015107CrossRefGoogle Scholar
  74. 74.
    Kushima A, Huang J Y, Li J. Quantitative fracture strength and plasticity measurements of lithiated silicon nanowires by in situ TEM tensile experiments. ACS Nano, 2012, 6: 9425–9432CrossRefGoogle Scholar
  75. 75.
    Sheldon B W, Soni S K, Xiao X, et al. Stress contributions to solution thermodynamics in Li-Si alloys. Electrochem Solid-State Lett, 2012, 15: A9CrossRefGoogle Scholar
  76. 76.
    Song Y C, Soh A K, Zhang J Q. On stress-induced voltage hysteresis in lithium ion batteries: Impacts of material property, charge rate and particle size. J Mater Sci, 2016, 51: 9902–9911CrossRefGoogle Scholar
  77. 77.
    Yang F Q. Generalized Butler-Volmer relation on a curved electrode surface under the action of stress. Sci China-Phys Mech Astron, 2016, 59: 114611CrossRefGoogle Scholar
  78. 78.
    Kim S, Choi S J, Zhao K, et al. Electrochemically driven mechanical energy harvesting. Nat Commun, 2016, 7: 10146CrossRefGoogle Scholar
  79. 79.
    Lee S W, Lee H W, Ryu I, et al. Kinetics and fracture resistance of lithiated silicon nanostructure pairs controlled by their mechanical interaction. Nat Commun, 2015, 6: 7533CrossRefGoogle Scholar
  80. 80.
    Ding B, Wu H, Xu Z, et al. Stress effects on lithiation in silicon. Nano Energy, 2017, 38: 486–493CrossRefGoogle Scholar
  81. 81.
    Jia Z, Li T. Stress-modulated driving force for lithiation reaction in hollow nano-anodes. J Power Sources, 2015, 275: 866–876CrossRefGoogle Scholar
  82. 82.
    Hao F, Gao X, Fang D. Diffusion-induced stresses of electrode nanomaterials in lithium-ion battery: The effects of surface stress. J Appl Phys, 2012, 112: 103507CrossRefGoogle Scholar
  83. 83.
    Hao F, Fang D. Diffusion-induced stresses of spherical core-shell electrodes in lithium-ion batteries: The effects of the shell and surface/interface stress. J Electrochem Soc, 2013, 160: A595–A600CrossRefGoogle Scholar
  84. 84.
    Zhao K, Pharr M, Vlassak J J, et al. Inelastic hosts as electrodes for high-capacity lithium-ion batteries. J Appl Phys, 2011, 109: 016110CrossRefGoogle Scholar
  85. 85.
    Gao Y F, Zhou M. Strong stress-enhanced diffusion in amorphous lithium alloy nanowire electrodes. J Appl Phys, 2011, 109: 014310CrossRefGoogle Scholar
  86. 86.
    Zhang X, Hao F, Chen H, et al. Diffusion-induced stresses in transversely isotropic cylindrical electrodes of lithium-ion batteries. J Electrochem Soc, 2014, 161: A2243–A2249CrossRefGoogle Scholar
  87. 87.
    Zhang X, Hao F, Chen H, et al. Diffusion-induced stress and delamination of layered electrode plates with composition-gradient. Mech Mater, 2015, 91: 351–362CrossRefGoogle Scholar
  88. 88.
    Hao F, Fang D. Reducing diffusion-induced stresses of electrode-collector bilayer in lithium-ion battery by pre-strain. J Power Sources, 2013, 242: 415–420CrossRefGoogle Scholar
  89. 89.
    Zhang X, Chen H, Fang D. Diffusion-induced stress of electrode particles with spherically isotropic elastic properties in lithium-ion batteries. J Solid State Electrochem, 2016, 20: 2835–2845CrossRefGoogle Scholar
  90. 90.
    Zhang X, Shyy W, Marie Sastry A. Numerical simulation of intercalation-induced stress in Li-ion battery electrode particles. J Electrochem Soc, 2007, 154: A910CrossRefGoogle Scholar
  91. 91.
    Haftbaradaran H, Song J, Curtin W A, et al. Continuum and atomistic models of strongly coupled diffusion, stress, and solute concentration. J Power Sources, 2011, 196: 361–370CrossRefGoogle Scholar
  92. 92.
    Zhao K, Pharr M, Cai S, et al. Large plastic deformation in high-capacity lithium-ion batteries caused by charge and discharge. J Am Ceram Soc, 2011, 94: s226–s235CrossRefGoogle Scholar
  93. 93.
    Bower A F, Guduru P R, Sethuraman V A. A finite strain model of stress, diffusion, plastic flow, and electrochemical reactions in a lithium-ion half-cell. J Mech Phys Solids, 2011, 59: 804–828MathSciNetzbMATHCrossRefGoogle Scholar
  94. 94.
    Anand L. A Cahn-Hilliard-type theory for species diffusion coupled with large elastic-plastic deformations. J Mech Phys Solids, 2012, 60: 1983–2002MathSciNetzbMATHCrossRefGoogle Scholar
  95. 95.
    Cui Z, Gao F, Qu J. Interface-reaction controlled diffusion in binary solids with applications to lithiation of silicon in lithium-ion batteries. J Mech Phys Solids, 2013, 61: 293–310MathSciNetCrossRefGoogle Scholar
  96. 96.
    Cui Z, Gao F, Qu J. A finite deformation stress-dependent chemical potential and its applications to lithium ion batteries. J Mech Phys Solids, 2012, 60: 1280–1295MathSciNetCrossRefGoogle Scholar
  97. 97.
    Chakraborty J, Please C P, Goriely A, et al. Combining mechanical and chemical effects in the deformation and failure of a cylindrical electrode particle in a Li-ion battery. Int J Solids Struct, 2015, 54: 66–81CrossRefGoogle Scholar
  98. 98.
    An Y, Jiang H. A finite element simulation on transient large deformation and mass diffusion in electrodes for lithium ion batteries. Model Simul Mater Sci Eng, 2013, 21: 074007CrossRefGoogle Scholar
  99. 99.
    Jia Z, Li T. Intrinsic stress mitigation via elastic softening during two-step electrochemical lithiation of amorphous silicon. J Mech Phys Solids, 2016, 91: 278–290CrossRefGoogle Scholar
  100. 100.
    Gao Y F, Cho M, Zhou M. Stress relaxation through interdiffusion in amorphous lithium alloy electrodes. J Mech Phys Solids, 2013, 61: 579–596zbMATHCrossRefGoogle Scholar
  101. 101.
    Gao Y F, Cho M, Zhou M. Mechanical reliability of alloy-based electrode materials for rechargeable Li-ion batteries. J Mech Sci Tech, 2013, 27: 1205–1224CrossRefGoogle Scholar
  102. 102.
    Prussin S. Generation and distribution of dislocations by solute diffusion. J Appl Phys, 1961, 32: 1876–1881CrossRefGoogle Scholar
  103. 103.
    Larché F, Cahn J W. A nonlinear theory of thermochemical equilibrium of solids under stress. Acta Metall, 1978, 26: 53–60CrossRefGoogle Scholar
  104. 104.
    Larché F, Cahn J W. A linear theory of thermochemical equilibrium of solids under stress. Acta Metall, 1973, 21: 1051–1063CrossRefGoogle Scholar
  105. 105.
    Cheng Y T, Verbrugge M W. Evolution of stress within a spherical insertion electrode particle under potentiostatic and galvanostatic operation. J Power Sources, 2009, 190: 453–460CrossRefGoogle Scholar
  106. 106.
    Deshpande R, Qi Y, Cheng Y T. Effects of concentration-dependent elastic modulus on diffusion-induced stresses for battery applications. J Electrochem Soc, 2010, 157: A967CrossRefGoogle Scholar
  107. 107.
    Song Y, Li Z, Zhang J. Reducing diffusion induced stress in planar electrodes by plastic shakedown and cyclic plasticity of current collector. J Power Sources, 2014, 263: 22–28CrossRefGoogle Scholar
  108. 108.
    Zhang J, Lu B, Song Y, et al. Diffusion induced stress in layered Li-ion battery electrode plates. J Power Sources, 2012, 209: 220–227CrossRefGoogle Scholar
  109. 109.
    Haftbaradaran H, Gao H, Curtin W A. A surface locking instability for atomic intercalation into a solid electrode. Appl Phys Lett, 2010, 96: 091909CrossRefGoogle Scholar
  110. 110.
    Purkayastha R, McMeeking R. A parameter study of intercalation of lithium into storage particles in a lithium-ion battery. Comput Mater, 2013, 80: 2–14CrossRefGoogle Scholar
  111. 111.
    Verma M K S, Basu S, Hariharan K S, et al. A strain-diffusion coupled electrochemical model for lithium-ion battery. J Electrochem Soc, 2017, 164: A3426–A3439CrossRefGoogle Scholar
  112. 112.
    Zhang X, Zhong Z. A coupled theory for chemically active and deformable solids with mass diffusion and heat conduction. J Mech Phys Solids, 2017, 107: 49–75MathSciNetCrossRefGoogle Scholar
  113. 113.
    Zhang X L, Zhong Z. A thermodynamic framework for thermochemo-elastic interactions in chemically active materials. Sci China-Phys Mech Astron, 2017, 60: 084611CrossRefGoogle Scholar
  114. 114.
    Cheng Y T, Verbrugge M W. The influence of surface mechanics on diffusion induced stresses within spherical nanoparticles. J Appl Phys, 2008, 104: 083521CrossRefGoogle Scholar
  115. 115.
    ChiuHuang C K, Huang H Y S. Critical lithiation for C-rate dependent mechanical stresses in LiFePO4. J Solid State Electrochem, 2015, 19: 2245–2253CrossRefGoogle Scholar
  116. 116.
    Grantab R, Shenoy V B. Location- and orientation-dependent progressive crack propagation in cylindrical graphite electrode particles. J Electrochem Soc, 2011, 158: A948CrossRefGoogle Scholar
  117. 117.
    DeLuca C M, Maute K, Dunn M L. Effects of electrode particle morphology on stress generation in silicon during lithium insertion. J Power Sources, 2011, 196: 9672–9681CrossRefGoogle Scholar
  118. 118.
    Golmon S, Maute K, Lee S H, et al. Stress generation in silicon particles during lithium insertion. Appl Phys Lett, 2010, 97: 033111CrossRefGoogle Scholar
  119. 119.
    Stein P, Xu B. 3D Isogeometric analysis of intercalation-induced stresses in Li-ion battery electrode particles. Comput Methods Appl Mech Eng, 2014, 268: 225–244MathSciNetzbMATHCrossRefGoogle Scholar
  120. 120.
    Wen J, Wei Y, Cheng Y T. Examining the validity of Stoney-equation for in-situ stress measurements in thin film electrodes using a large-deformation finite-element procedure. J Power Sources, 2018, 387: 126–134CrossRefGoogle Scholar
  121. 121.
    Wen J, Wei Y, Cheng Y T. Stress evolution in elastic-plastic electrodes during electrochemical processes: A numerical method and its applications. J Mech Phys Solids, 2018, 116: 403–415MathSciNetCrossRefGoogle Scholar
  122. 122.
    Yang L, Chen H S, Jiang H, et al. Failure mechanisms of 2D silicon film anodes: In situ observations and simulations on crack evolution. Chem Commun, 2018, 54: 3997–4000CrossRefGoogle Scholar
  123. 123.
    Yang H, Fan F, Liang W, et al. A chemo-mechanical model of lithiation in silicon. J Mech Phys Solids, 2014, 70: 349–361CrossRefGoogle Scholar
  124. 124.
    Bower A F, Guduru P R. A simple finite element model of diffusion, finite deformation, plasticity and fracture in lithium ion insertion electrode materials. Model Simul Mater Sci Eng, 2012, 20: 045004CrossRefGoogle Scholar
  125. 125.
    Gritton C, Guilkey J, Hooper J, et al. Using the material point method to model chemical/mechanical coupling in the deformation of a silicon anode. Model Simul Mater Sci Eng, 2017, 25: 045005CrossRefGoogle Scholar
  126. 126.
    Mughal M Z, Moscatelli R, Amanieu H Y, et al. Effect of lithiation on micro-scale fracture toughness of LixMn2O4 cathode. Scripta Mater, 2016, 116: 62–66CrossRefGoogle Scholar
  127. 127.
    Wang X, Fan F, Wang J, et al. High damage tolerance of electrochemically lithiated silicon. Nat Commun, 2015, 6: 8417CrossRefGoogle Scholar
  128. 128.
    Yang L, Chen H S, Song W L, et al. In situ optical observations and simulations on defect induced failure of silicon island anodes. J Power Sources, 2018, 405: 101–105CrossRefGoogle Scholar
  129. 129.
    Wang Y H, He Y, Xiao R J, et al. Investigation of crack patterns and cyclic performance of Ti-Si nanocomposite thin film anodes for lithium ion batteries. J Power Sources, 2012, 202: 236–245CrossRefGoogle Scholar
  130. 130.
    Aifantis K E, Hackney S A, Dempsey J P. Design criteria for nanostructured Li-ion batteries. J Power Sources, 2007, 165: 874–879CrossRefGoogle Scholar
  131. 131.
    Aifantis K E, Dempsey J P, Hackney S A. Cracking in Si-based anodes for Li-ion batteries. Rev Adv Mater Sci, 2005, 10: 403–408Google Scholar
  132. 132.
    Aifantis K E, Dempsey J P. Stable crack growth in nanostructured Li-batteries. J Power Sources, 2005, 143: 203–211CrossRefGoogle Scholar
  133. 133.
    Bhandakkar T K, Gao H. Cohesive modeling of crack nucleation under diffusion induced stresses in a thin strip: Implications on the critical size for flaw tolerant battery electrodes. Int J Solids Struct, 2010, 47: 1424–1434zbMATHCrossRefGoogle Scholar
  134. 134.
    Hu Y, Zhao X, Suo Z. Averting cracks caused by insertion reaction in lithium-ion batteries. J Mater Res, 2010, 25: 1007–1010CrossRefGoogle Scholar
  135. 135.
    Zhao K, Pharr M, Vlassak J J, et al. Fracture of electrodes in lithiumion batteries caused by fast charging. J Appl Phys, 2010, 108: 073517CrossRefGoogle Scholar
  136. 136.
    Woodford W H, Carter W C, Chiang Y M. Design criteria for electrochemical shock resistant battery electrodes. Energy Environ Sci, 2012, 5: 8014–8024CrossRefGoogle Scholar
  137. 137.
    Zhao K, Pharr M, Hartle L, et al. Fracture and debonding in lithiumion batteries with electrodes of hollow core-shell nanostructures. J Power Sources, 2012, 218: 6–14CrossRefGoogle Scholar
  138. 138.
    Hu X, Zhao Y, Cai R, et al. Surface effected fracture behavior of nano-spherical electrodes during lithiation reaction. Mater Sci Eng-A, 2017, 707: 92–100CrossRefGoogle Scholar
  139. 139.
    Chen B, Zhou J, Cai R. Analytical model for crack propagation in spherical nano electrodes of lithium-ion batteries. Electrochim Acta, 2016, 210: 7–14CrossRefGoogle Scholar
  140. 140.
    Chen B, Zhou J, Pang X, et al. Fracture damage of nanowire lithiumion battery electrode affected by diffusion-induced stress and bending during lithiation. RSC Adv, 2014, 4: 21072–21078CrossRefGoogle Scholar
  141. 141.
    Gao Y F, Zhou M. Coupled mechano-diffusional driving forces for fracture in electrode materials. J Power Sources, 2013, 230: 176–193CrossRefGoogle Scholar
  142. 142.
    Zhang M, Qu J, Rice J R. Path independent integrals in equilibrium electro-chemo-elasticity. J Mech Phys Solids, 2017, 107: 525–541MathSciNetCrossRefGoogle Scholar
  143. 143.
    Haftbaradaran H, Qu J. A path-independent integral for fracture of solids under combined electrochemical and mechanical loadings. J Mech Phys Solids, 2014, 71: 1–14MathSciNetzbMATHCrossRefGoogle Scholar
  144. 144.
    Yu P, Chen J, Wang H, et al. Path-independent integrals in electrochemomechanical systems with flexoelectricity. Int J Solids Struct, 2018, 147: 20–28CrossRefGoogle Scholar
  145. 145.
    Yu P, Wang H, Chen J, et al. Conservation laws and path-independent integrals in mechanical-diffusion-electrochemical reaction coupling system. J Mech Phys Solids, 2017, 104: 57–70MathSciNetCrossRefGoogle Scholar
  146. 146.
    Klinsmann M, Rosato D, Kamlah M, et al. Modeling crack growth during Li insertion in storage particles using a fracture phase field approach. J Mech Phys Solids, 2016, 92: 313–344CrossRefGoogle Scholar
  147. 147.
    Klinsmann M, Rosato D, Kamlah M, et al. Modeling crack growth during Li extraction in storage particles using a fracture phase field approach. J Electrochem Soc, 2016, 163: A102–A118CrossRefGoogle Scholar
  148. 148.
    Xu B X, Zhao Y, Stein P. Phase field modeling of electrochemically induced fracture in Li-ion battery with large deformation and phase segregation. GAMM-Mitteilungen, 2016, 39: 92–109MathSciNetzbMATHCrossRefGoogle Scholar
  149. 149.
    Zhang X, Krischok A, Linder C. A variational framework to model diffusion induced large plastic deformation and phase field fracture during initial two-phase lithiation of silicon electrodes. Comput Methods Appl Mech Eng, 2016, 312: 51–77MathSciNetCrossRefGoogle Scholar
  150. 150.
    Réthoré J, Zheng H, Li H, et al. A multiphysics model that can capture crack patterns in Si thin films based on their microstructure. J Power Sources, 2018, 400: 383–391CrossRefGoogle Scholar
  151. 151.
    Sun G, Sui T, Song B, et al. On the fragmentation of active material secondary particles in lithium ion battery cathodes induced by charge cycling. Extreme Mech Lett, 2016, 9: 449–458CrossRefGoogle Scholar
  152. 152.
    Xu R, Zhao K. Corrosive fracture of electrodes in Li-ion batteries. J Mech Phys Solids, 2018, 121: 258–280MathSciNetCrossRefGoogle Scholar
  153. 153.
    Shi F, Song Z, Ross P N, et al. Failure mechanisms of single-crystal silicon electrodes in lithium-ion batteries. Nat Commun, 2016, 7: 11886CrossRefGoogle Scholar
  154. 154.
    Barai P, Mukherjee P P. Stochastic analysis of diffusion induced damage in lithium-ion battery electrodes. J Electrochem Soc, 2013, 160: A955–A967CrossRefGoogle Scholar
  155. 155.
    Chen C F, Barai P, Mukherjee P P. Diffusion induced damage and impedance response in lithium-ion battery electrodes. J Electrochem Soc, 2014, 161: A2138–A2152CrossRefGoogle Scholar
  156. 156.
    Kotak N, Barai P, Verma A, et al. Electrochemistry-mechanics coupling in intercalation electrodes. J Electrochem Soc, 2018, 165: A1064–A1083CrossRefGoogle Scholar
  157. 157.
    Verma A, Kotaka T, Tabuchi Y, et al. Mechano-electrochemical interaction and degradation in graphite electrode with surface film. J Electrochem Soc, 2018, 165: A2397–A2408CrossRefGoogle Scholar
  158. 158.
    Verma A, Mukherjee P P. Mechanistic analysis of mechano-electrochemical interaction in silicon electrodes with surface film. J Electrochem Soc, 2017, 164: A3570–A3581CrossRefGoogle Scholar
  159. 159.
    David L, Ruther R E, Mohanty D, et al. Identifying degradation mechanisms in lithium-ion batteries with coating defects at the cathode. Appl Energy, 2018, 231: 446–455CrossRefGoogle Scholar
  160. 160.
    Li J, Du Z, Ruther R E, et al. Toward low-cost, high-energy density, and high-power density lithium-ion batteries. J Miner Met Mater Soc, 2017, 69: 1484–1496CrossRefGoogle Scholar
  161. 161.
    Mohanty D, Hockaday E, Li J, et al. Effect of electrode manufacturing defects on electrochemical performance of lithium-ion batteries: Cognizance of the battery failure sources. J Power Sources, 2016, 312: 70–79CrossRefGoogle Scholar
  162. 162.
    Deshpande R, Verbrugge M, Cheng Y T, et al. Battery cycle life prediction with coupled chemical degradation and fatigue mechanics. J Electrochem Soc, 2012, 159: A1730–A1738CrossRefGoogle Scholar
  163. 163.
    Li N W, Yin Y X, Xin S, et al. Methods for the stabilization of nanostructured electrode materials for advanced rechargeable batteries. Small Methods, 2017, 1: 1700094CrossRefGoogle Scholar
  164. 164.
    Baggetto L, Danilov D, Notten P H L. Honeycomb-structured silicon: Remarkable morphological changes induced by electrochemical (de)lithiation. Adv Mater, 2011, 23: 1563–1566CrossRefGoogle Scholar
  165. 165.
    Bhandakkar T K, Johnson H T. Diffusion induced stresses in buckling battery electrodes. J Mech Phys Solids, 2012, 60: 1103–1121MathSciNetCrossRefGoogle Scholar
  166. 166.
    Xiao X, Liu P, Verbrugge M W, et al. Improved cycling stability of silicon thin film electrodes through patterning for high energy density lithium batteries. J Power Sources, 2011, 196: 1409–1416CrossRefGoogle Scholar
  167. 167.
    Jia Z, Li T. Failure mechanics of a wrinkling thin film anode on a substrate under cyclic charging and discharging. Extreme Mech Lett, 2016, 8: 273–282CrossRefGoogle Scholar
  168. 168.
    Polat B D, Keles O. Improving Si anode performance by forming copper capped copper-silicon thin film anodes for rechargeable lithium ion batteries. Electrochim Acta, 2015, 170: 63–71CrossRefGoogle Scholar
  169. 169.
    Polat B D, Keles O. Functionally graded Si based thin films as negative electrodes for next generation lithium ion batteries. Electrochim Acta, 2016, 187: 293–299CrossRefGoogle Scholar
  170. 170.
    Zhang X, Song W L, Liu Z, et al. Geometric design of micron-sized crystalline silicon anodes through in situ observation of deformation and fracture behaviors. J Mater Chem A, 2017, 5: 12793–12802CrossRefGoogle Scholar
  171. 171.
    An Y, Wood B C, Ye J, et al. Mitigating mechanical failure of crystalline silicon electrodes for lithium batteries by morphological design. Phys Chem Chem Phys, 2015, 17: 17718–17728CrossRefGoogle Scholar
  172. 172.
    Timmons A, Dahn J R. In situ optical observations of particle motion in alloy negative electrodes for Li-ion batteries. J Electrochem Soc, 2006, 153: A1206CrossRefGoogle Scholar
  173. 173.
    Xu R, Zhao K. Mechanical interactions regulated kinetics and morphology of composite electrodes in Li-ion batteries. Extreme Mech Lett, 2016, 8: 13–21CrossRefGoogle Scholar
  174. 174.
    Choi S, Kwon T W, Coskun A, et al. Highly elastic binders integrating polyrotaxanes for silicon microparticle anodes in lithium ion batteries. Science, 2017, 357: 279–283CrossRefGoogle Scholar
  175. 175.
    Singh G, Bhandakkar T K. Analytical investigation of Binder’s role on the diffusion induced stresses in lithium ion battery through a representative system of spherical isolated electrode particle enclosed by binder. J Electrochem Soc, 2017, 164: A608–A621CrossRefGoogle Scholar
  176. 176.
    Lee S, Yang J, Lu W. Debonding at the interface between active particles and PVDF binder in Li-ion batteries. Extreme Mech Lett, 2016, 6: 37–44CrossRefGoogle Scholar
  177. 177.
    Wang H, Nadimpalli S P V, Shenoy V B. Inelastic shape changes of silicon particles and stress evolution at binder/particle interface in a composite electrode during lithiation/delithiation cycling. Extreme Mech Lett, 2016, 9: 430–438CrossRefGoogle Scholar
  178. 178.
    Higa K, Srinivasan V. Stress and strain in silicon electrode models. J Electrochem Soc, 2015, 162: A1111–A1122CrossRefGoogle Scholar

Copyright information

© Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.State Key Laboratory of Explosion Science and Technology, Institute of Advanced Structure TechnologyBeijing Institute of TechnologyBeijingChina
  2. 2.State Key Laboratory of Mechanics and Control of Mechanical Structures, Interdisciplinary Research Institute of Aeronautics and Astronautics, College of Aerospace EngineeringNanjing University of Aeronautics and AstronauticsNanjingChina
  3. 3.State Key Laboratory for Turbulence and Complex Systems, College of EngineeringPeking UniversityBeijingChina

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