An integrated 2-D model of a lithium ion battery: The effect of material parameters and morphology on storage particle stress

Computational Mechanics

Volumn 50, Issue 2, 2012, Pages 209-227

  Purkayastha, Rajlakshmi T ^a   McMeeking, Robert M ^a,b,c  

^a University of California   (United States)

^b UNIVERSITY OF ABERDEEN   (United Kingdom)

^c INM LEIBNIZ INSTITUTE FOR NEW MATERIALS   (Germany)

Author keywords

Coupled stress diffusion model; Lithium ion battery; Non dimensional parameters; Numerical simulations

Indexed keywords

COMPUTER SIMULATION; DIFFUSION; ELECTRIC BATTERIES; IONS; LITHIUM; LITHIUM ALLOYS; STORAGE (MATERIALS);

2-D MODEL; BATTERY SYSTEMS; COUPLED STRESS; MATERIAL PARAMETER; MECHANICAL STRESS; NON-DIMENSIONAL PARAMETERS; PARTICLE DISTANCE; PARTICLE STRESS;

LITHIUM-ION BATTERIES;

EID: 84865219714     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-012-0724-8     Document Type: Article

References (40)

1. Huggins RA (2009) Advanced batteries: materials science aspects. Springer, New York
2. JM Tarascon M Armand 2001 Issues and challenges facing rechargeable batteries Nature 414 359 367 10.1038/35104644
3. J Vetter P Novak MR Wagner C Veit KC Moeller JO Besenhard M Winter M Wohlfahrt-Mehrens C Vogler A Hammouche 2005 Ageing mechanisms in lithium-ion batteries J Power Sources 147 269 281 10.1016/j.jpowsour.2005.01.006
4. Broussely M (2002) Ageing mechanisms and calendar-life predictions. In: van Schalkwijk W, Scrosati B (eds) Advances in lithium-ion batteries. Kluwer Academic/Plenum, New York, pp 393-432
5. I Bloom BW Cole JJ Sohn SA Jones EG Polzin VS Battaglia GL Henriksen CG Motloch R Richardson T Unkelhaeuser D Ingersoll HL Case 2001 An accelerated calendar and cycle life study of Li-ion cells J Power Sources 101 238 247 10.1016/S0378-7753(01)00783-2
6. Nazri, GA, Pistoia, G (eds) (2004) Lithium batteries: science and technology. Kluwer, Boston
7. J Christensen J Newman 2006 A mathematical model of stress generation and fracture in lithium manganese oxide J Electrochem Soc 153 A1019 A1030 10.1149/1.2185287
8. J Christensen J Newman 2006 Stress generation and fracture in lithium insertion materials J Solid State Electrochem 10 5 293 319 10.1007/s10008-006- 0095-1
9. 4-based Cu nano-architectured electrodes for lithium-ion battery applications Nature Mater 5 567 573 10.1038/nmat1672
10. MW Verbrugge BJ Koch 2006 Modeling lithium intercalation of single-fiber carbon microelectrodes J Electrochem Soc 143 600 608 10.1149/1.1836486
11. KE Aifantis JP Dempsey 2005 Stable crack growth in nanostructured Li-batteries J Power Sources 143 203 211 10.1016/j.jpowsour.2004.11.037
12. K Zhao M Pharr JJ Vlassak Z Suo 2010 Fracture of electrodes in lithium-ion batteries caused by fast charging J Appl Phys 108 073517-1 073517-6
13. F Yang 2010 Insertion-induced breakage materials J Appl Phys 108 073536-1 073536-5
14. YT Cheng MW Verbrugge 2010 Application of Hasselman's crack propagation model to insertion electrodes Electrochem Solid State Lett 13 A128 A131 10.1149/1.3455179
15. WH Woodford YM Chiang WC Carter 2010 'Electrochemical shock' of intercalation electrodes-A fracture mechanics analysis J Electrochem Soc 157 A1052 A1059 10.1149/1.3464773
16. TK Bhandakkar H Gao 2010 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 Solid Struct 47 1424 1434 1193.74142 10.1016/j.ijsolstr.2010.02.001
17. TK Bhandakkar H Gao 2011 Cohesive modeling of crack nucleation in a cylindrical electrode under axisymmetric diffusion induced stresses Int J Solid Struct 48 2304 2309 10.1016/j.ijsolstr.2011.04.005
18. Y Hu X Zhao Z Suo 2010 Averting cracks caused by insertion reaction in lithium-ion batteries J Mater Res 25 6 1007 1010 10.1557/JMR.2010.0142
19. X Zhang W Shyy AM Sastry 2007 Numerical simulation of intercalation-induced stress in Li-ion battery electrode particles J Electrochem Soc 154 A910 A916 10.1149/1.2759840
20. J Park W Lu AM Sastry 2011 Numerical simulation of stress evolution in lithium manganese dioxide particles due to coupled phase transition and intercalation J Electrochem Soc 158 A201 A206 10.1149/1.3526597
21. YT Cheng MW Verbrugge 2010 Diffusion-induced stress, interfacial charge transfer, and criteria for avoiding crack initiation of electrode particles J Electrochem Soc 157 A508 A516 10.1149/1.3298892
22. YT Cheng MW Verbrugge 2009 Evolution of stress within a spherical insertion electrode particle under potentiostatic and galvanostatic operation J Power Sources 190 453 460 10.1016/j.jpowsour.2009.01.021
23. Bohn E, Eckl T, Kamlah M, McMeeking RM (2011) A model for lithium diffusion and stress generation in a storage particle of an intercalation electrode. J Electrochem Soc (in review)
24. Purkayastha R, McMeeking RM (2012) A linearized model for lithium ion batteries and maps for their performance and failure. J Appl Mech 79, 031021-1-16. doi: 10.1115/1.4005962
25. Purkayastha R, McMeeking RM (2012) A parameter study of intercalation of lithium into storage particles in a lithium ion battery (in revision)
26. Thomas KE, Darling RM, Newman J (2002) Mathematical modeling of lithium batteries. In: van Schalkwijk W, Scrosati B (eds) Advances in lithium-ion batteries. Kluwer Academic/Plenum, New York, pp 345-392
27. M Doyle TF Fuller J Newman 1993 Modeling of galvanostatic charge and discharge of the lithium/polymer/insertion cell J Electrochem Soc 140 1526 1533 10.1149/1.2221597
28. M Doyle J Newman A Gozdz C Schmutz JM Tarascon 1996 Comparison of modeling predictions with experimental data from plastic lithium ion cells J Electrochem Soc 143 1890 1903 10.1149/1.1836921
29. S Renganathan G Sikha S Santhanagopalan RE White 2010 Theoretical analysis of stresses in a lithium ion cell J Electrochem Soc 157 A155 A163 10.1149/1.3261809
30. J Christensen 2010 Modeling diffusion induced stress in Li-ion cells with porous electrodes J Electrochem Soc 157 A366 A380 10.1149/1.3269995
31. RE Garcia YM Chiang WC Carter P Limthongkul CM Bishop 2005 Microstructural modeling and design of rechargeable lithium-ion batteries J Electrochem Soc 152 A255 A263 10.1149/1.1836132
32. RE Garcia YM Chiang 2007 Spatially resolved modeling of microstructurally complex battery architectures J Electrochem Soc 154 A856 A864 10.1149/1.2754072
33. CW Wang AM Sastry 2007 Mesoscale modeling of a li-ion polymer cell J Electrochem Soc 154 11 A1035 A1047 10.1149/1.2778285
34. Comsol multiphysics user's guide, Version 4.2 (2011)
35. Cook R, Malkus D, Plesha M, Witt R (2007) Concepts and applications of finite element analysis, 4th edn. Wiley, Hoboken
36. AC Hindmarsh PN Brown KE Grant SL Lee R Serban DE Shumaker CS Woodward 2005 SUNDIALS: suite of nonlinear and differential/algebraic equation solvers ACM Trans Math Softw 31 363 2266799 1136.65329 10.1145/1089014.1089020
37. PN Brown AC Hindmarsh LR Petzold 1994 Using Krylov methods in the solution of large-scale differential-algebraic systems SIAM J Sci Comput 15 1467 1488 1298625 0812.65060 10.1137/0915088
38. P Deuflhard 1974 A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting Numer Math 22 289 315 351093 0313.65070 10.1007/BF01406969
39. http://graal.ens-lyon.fr/MUMPS/. Accessed May 5 2012
40. PR Amestoy IS Duff J-Y L'Excellent 2000 Multifrontal parallel distributed symmetric and unsymmetric solvers Comput Methods Appl Mech Eng 184 501 520 0956.65017 10.1016/S0045-7825(99)00242-X