DOI: 10.1007/s00466-014-1102-5. Computational electro-chemo-mechanics of lithium-ion battery electrodes at finite strains

Computational electro-chemo-mechanics of lithium-ion battery electrodes at finite strains

10.1007/s00466-014-1102-5

Crossref journal-article

Springer Science and Business Media LLC

Computational Mechanics (297)

Bibliography

Dal, H., & Miehe, C. (2014). Computational electro-chemo-mechanics of lithium-ion battery electrodes at finite strains. Computational Mechanics, 55(2), 303â325.

Authors 2

Hüsnü Dal (first)
Christian Miehe (additional)

References 35 Referenced 42

Anand L (2012) A Cahn–Hilliard-type theory for species diffusion coupled with large elastic–plastic deformations. J Mech Phys Solids 60:1983–2002 (10.1016/j.jmps.2012.08.001) / J Mech Phys Solids by L Anand (2012)
Baggetto L, Niessen RAH, Roozeboom F, Notten PHL (2008) High energy density all-solid-state batteries: a challenging concept towards 3d integration. Adv Funct Mater 18:1057–1066 (10.1002/adfm.200701245) / Adv Funct Mater by L Baggetto (2008)
Bohn E (2011) Partikel-modell für lithium-diffusion und mechanische spannungen einer interkalationselektrode. Ph.D. thesis, Karlsruher Institut für Technologie
Bower AF, Guduru PR (2012) A simple finite element model of diffusion, finite deformation, plasticity and fracture in lithium ion insertion electrode materials. Model Simul Mater Sci Eng 20:1–20
Bower AF, Guduru PR, Sethuraman VA (2011) A finite strain model of stress, diffusion, plastic flow and electrochemical reactions in a lithium-ion half-cell. J Mech Phys Solids 59:804–828 (10.1016/j.jmps.2011.01.003) / J Mech Phys Solids by AF Bower (2011)
Burch D, Singh G, Ceder G, Bazant M (2008) Phase-transformation wave dynamics in LiFePO $$_4$$ 4 . Solid State Phenom 139:95–100 (10.4028/www.scientific.net/SSP.139.95) / Solid State Phenom by D Burch (2008)
Cahn JW (1959) Free energy of a nonuniform system. II. Thermodynamic basis. J Chem Phys 30:1121–1124 (10.1063/1.1730145) / J Chem Phys by JW Cahn (1959)
Cahn JW, Hilliard JE (1957) Free energy of a nonuniform system. I. Interfacial free energy. J Chem Phys 28:258–267 (10.1063/1.1744102) / J Chem Phys by JW Cahn (1957)
Chan CK, Peng H, Lui G, McIlwrath K, Zhang XF, Huggins RA, Cui Y (2008) High-performance lithium battery anodes using silicon nanowires. Nanotecnology 3:31–35 / Nanotecnology by CK Chan (2008)
Cheng YT, Verbrugge MW (2008) The influence of surface mechanics on diffusion induced stresses within spherical nanoparticles. Appl Phys Lett 104:083521 / Appl Phys Lett by YT Cheng (2008)
Chon MJ, Sethuraman VA, McCormick A, Srinivasan V, Guduru PR (2011) Real-time measurement of stress and damage evolution during initial lithiation of crystalline silicon. Phys Rev Lett 107:045503 (10.1103/PhysRevLett.107.045503) / Phys Rev Lett by MJ Chon (2011)
Christensen J (2010) Modelling diffusion-induced stress in li-ion cells with porous electrodes. J Electrochem Soc 157:A366–A380 (10.1149/1.3269995) / J Electrochem Soc by J Christensen (2010)
Christensen J, Newman J (2006) A mathematical model of stress generation and fracture in lithium manganese oxide. J Electrochem Soc 153:A1019–A1030 (10.1149/1.2185287) / J Electrochem Soc by J Christensen (2006)
Christensen J, Newman J (2006) Stress generation and fracture in lithium insertion materials. J Solid State Electrochem 10:293–319 (10.1007/s10008-006-0095-1)
Cui LF, Ruffo R, Chan CK, Peng H, Cui Y (2009) Crystalline–amorphous core–shell silicon nanowires for high capacity and high current battery electrodes. Nano Lett 9:491–495 (10.1021/nl8036323) / Nano Lett by LF Cui (2009)
Deshpande R, Cheng YT, Verbrugge MW (2010) Modeling diffusion-induced stress in nanowire electrode structures. J Power Sources 195:5081–5088 (10.1016/j.jpowsour.2010.02.021) / J Power Sources by R Deshpande (2010)
Doyle M, Fuller TF, Newman J (1993) Modeling of galvanostatic charge and discharge of the lithium/polymer/insertion cell. J Electrochem Soc 6:1526–1533 (10.1149/1.2221597) / J Electrochem Soc by M Doyle (1993)
Doyle M, Newman J, Gozdz AS, Schmutz CN, Tarascon JM (1996) Comparison of modeling predictions with experimental data from plastic lithium ion cells. J Electrochem Soc 143:1890–1903 (10.1149/1.1836921) / J Electrochem Soc by M Doyle (1996)
Du W, Gupta A, Zhang X, Sastry AM, Shyy W (2010) Effect of cycling rate, particle size and transport properties on lithium-ion cathode performance. Int J Heat Mass Transf 53:3552–3561 (10.1016/j.ijheatmasstransfer.2010.04.017) / Int J Heat Mass Transf by W Du (2010)
Golmon S, Maute K, Lee SH, Dunn ML (2010) Stress generation in silicon particles during lithium insertion. Appl Phys Lett 97:033111 (10.1063/1.3458707)
Gurtin ME (1996) Generalized Ginzburg–Landau and Cahn–Hilliard equations based on a microforce balance. Phys D 92:178–192 (10.1016/0167-2789(95)00173-5) / Phys D by ME Gurtin (1996)
Huggins R, Nix W (2000) Decrepitation model for capacity loss during cycling of alloys in rechargeable electrochemical systems. Ionics 6:57–63 (10.1007/BF02375547) / Ionics by R Huggins (2000)
Kasavajjula U, Wang C, Appleby AJ (2007) Nano- and bulk-silicon-based insertion anodes for lithium-ion secondary cells. J Power Sources 163:1003–1039 (10.1016/j.jpowsour.2006.09.084) / J Power Sources by U Kasavajjula (2007)
Miehe C, Hildebrand F, Böger L (2014) Mixed variational potentials and inherent symmetries of the Cahn–Hilliard theory of diffusive phase separation. Proc R Soc A Math Phys 470:20130641 (10.1098/rspa.2013.0641)
Miehe C, Ulmer H, Mauthe S (2014) Formulation and numerical exploitation of mixed variational principles for coupled problems of Cahn–Hilliard-type and standard diffusion in elastic solids. Int J Numer Methods Eng 99:737–762 (10.1002/nme.4700)
Newmann J, Thomas-Alyea KE (2004) Electrochemical systems, 3rd edn. Wiley, Hoboken
Seo JH, Chung M, Park M, Han SW, Zhang X, Sastry AM (2011) Generation of realistic particle structures and simulations of internal stress: anumerical/AFM study of LiMn $$_2$$ 2 O $$_4$$ 4 particles. J Electrochem Soc 158:A434–A442 (10.1149/1.3552930) / J Electrochem Soc by JH Seo (2011)
Sethuraman V, Chon M, Shimshak M, Winkle NV, Guduru P (2010) In situ measurement of biaxial modulus of si anode for li-ion batteries. Electrochem Commun 12:1614–1617 (10.1016/j.elecom.2010.09.008) / Electrochem Commun by V Sethuraman (2010)
Sethuraman V, Srinivasan V, Bower AF, Guduru PR (2010) In situ measurements of stress-potential coupling in lithiated silicon. J Electrochem Soc 157:A1253–A1261 (10.1149/1.3489378) / J Electrochem Soc by V Sethuraman (2010)
Sethuraman VA, Chon MJ, Shimshak M, Guduru VSPR (2010) In situ measurements of stress evolution in silicon thin films during electrochemical lithiation and delithiation. J Power Sources 195:5062–5066 (10.1016/j.jpowsour.2010.02.013)
Singh GK, Ceder G, Bazant MZ (2008) Intercalation dynamics in rechargeable battery materials: general theory and phase-transformation waves in LiFePO $$_4$$ 4 . Electrochim Acta 53:7599–7613 (10.1016/j.electacta.2008.03.083)
Yao Y, McDowell MT, Ryu I, Wu H, Liu N, Hu L, Nix WD, Cui Y (2011) Interconnected silicon hollow nanospheres for lithium-ion battery anodes with long cycle life. Nano Lett 11:2949–2954 (10.1021/nl201470j)
Zhang X, Sastry AM, Shyy W (2007) Numerical simulation of intercalation-induced stress in li-ion battery electrode particles. J Electrochem Soc 154:A910–A916 (10.1149/1.2759840) / J Electrochem Soc by X Zhang (2007)
Zhang X, Sastry AM, Shyy W (2008) Intercalation-induced stress and heat generation within single lithium-ion battery cathode particles. J Electrochem Soc 155:A542–A552 (10.1149/1.2926617) / J Electrochem Soc by X Zhang (2008)
Zhao K, Tritsaris GA, Pharr M, Wang WL, Okeke O, Suo Z, Vlassak JJ, Kaxiras E (2012) Reactive flow in silicon electrodes assisted by the insertion of lithium. Nano Lett 12:4397–4403 (10.1021/nl302261w) / Nano Lett by K Zhao (2012)

Dates

Type	When
Created	10 years, 8 months ago (Dec. 10, 2014, 4 a.m.)
Deposited	6 years, 3 months ago (May 28, 2019, 8:29 p.m.)
Indexed	6 days, 13 hours ago (Aug. 30, 2025, 12:32 p.m.)
Issued	10 years, 8 months ago (Dec. 11, 2014)
Published	10 years, 8 months ago (Dec. 11, 2014)
Published Online	10 years, 8 months ago (Dec. 11, 2014)
Published Print	10 years, 7 months ago (Feb. 1, 2015)

Funders 0

None

BibTeX

@article{Dal_2014, title={Computational electro-chemo-mechanics of lithium-ion battery electrodes at finite strains}, volume={55}, ISSN={1432-0924}, url={http://dx.doi.org/10.1007/s00466-014-1102-5}, DOI={10.1007/s00466-014-1102-5}, number={2}, journal={Computational Mechanics}, publisher={Springer Science and Business Media LLC}, author={Dal, Hüsnü and Miehe, Christian}, year={2014}, month=dec, pages={303–325} }

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