Multiscale modelling and numerical simulation of rechargeable lithium ion batteries: Concepts, methods and challenges

RSC Advances

Volumn 3, Issue 32, 2013, Pages 13027-13058

  Franco, Alejandro A ^a,b  

^a UNIVERSITÉ DE PICARDIE JULES VERNE   (France)

^b CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BATTERY APPLICATIONS; COMPUTATIONAL ELECTROCHEMISTRY; ELECTROCHEMICAL MATERIALS; ELECTROCHEMICAL MECHANISMS; MULTI-SCALE MODELLING; OPERATION CONDITIONS; OPTIMAL SPECIFICATIONS; RECHARGEABLE LITHIUM ION BATTERY;

COMPUTATION THEORY; COMPUTER SIMULATION; ELECTROCHEMISTRY; LITHIUM BATTERIES;

NUMERICAL MODELS;

EID: 84881504889     PISSN: None     EISSN: 20462069     Source Type: Journal    
DOI: 10.1039/c3ra23502e     Document Type: Review

References (269)

1. J.-M. Tarascon M. Armand Nature 2001 414 359
2. M. Armand J.-M. Tarascon Nature 2008 451 7179 652
3. M. S. Whittingham Chem. Rev. 2004 104 4271
4. A. K. Padhi K. S. Nanjundaswamy J. B. Goodenough J. Electrochem. Soc. 1997 144 4 1188
5. M. Maccario L. Croguennec F. Weill F. Le Cras C. Delmas Solid State Ionics 2008 179 2383
6. D. Choi P. N. Kumta J. Power Sources 2007 163 1064
7. H. Huang S.-C. Yin L. F. Nazar Electrochem. Solid-State Lett. 2001 4 A170
8. S.-T. Myung S. Komaba N. Hirosaki H. Yashiro N. Kumagai Electrochim. Acta 2004 49 4213
9. A. Aimable D. Aymes F. Bernard F. Le Cras Solid State Ionics 2009 180 861
10. T. Takeuchi M. Tabuchi A. Nakashima T. Nakamura Y. Miwa H. Kageyama K. Tatsumi J. Power Sources 2005 146 575
11. K. Xu U. Lee S. S. Zhang M. Wood T. R. Jow Electrochem. Solid-State Lett. 2003 6 A144
12. J. Cabana Z. Stoeva J. J. Titman D. H. Gregory M. R. Palacín Chem. Mater. 2008 20 1676
13. T. F. Fuller M. Doyle J. Newman J. Electrochem. Soc. 1994 141 982
14. M. D. Levi G. Salitra B. Markovsky H. Teller D. Aurbach U. Heider L. Heider J. Electrochem. Soc. 1999 146 1279
15. S. Kobayashi Y. Uchimoto J. Phys. Chem. 2005 109 13322
16. V. Johnson, A. Pesaran and T. Sack in: Proceedings of the 17th Electric Vehicle Symposium, Montreal, Canada, 2000
17. C. O'Gorman, D. Ingersoll, R. Jungst and T. Paez in: Selected Battery Topics, ed., W. R. Cieslak, et al., Vol. PV 98-15, The Electrochemical Society Proceedings Series, Pennington, NJ, 1998, p. 248
18. J. Newman, Electrochemical Systems, 2nd edition, Prentice-Hall, Englewood Cliffs, NJ, 1973
19. R. Spotnitz Interface 2005, Winter 39
20. C. Y. Wang V. Srinivasan J. Power Sources 2002 110 364
21. V. Ramadesigan P. W. C. Northrop S. De S. Santhanagopalan R. D. Braatz V. R. Subramanian J. Electrochem. Soc. 2012 159 3 R31
22. The MacTutor History of Mathematics Achive, http://www-history.mcs.st- and.ac.uk/site consulted on December, 2012
23. A. A. Franco, PEMFC degradation modelling and analysis, book chapter in: Polymer electrolyte membrane and direct methanol fuel cell technology (PEMFCs and DMFCs)-Volume 1: Fundamentals and performance, ed., C. Hartnig, and, C. Roth, Woodhead, Cambridge, UK, 2012
24. A. A. Franco, seminar given at Argonne National Laboratory, May 11th, 2011 (http://www.msd.anl.gov/seminars/allred-042512)
25. X. Sun K. Sun C. Chen H. Sun B. Cui International Journal of Materials and Chemistry 2012 2 5 218
26. E. Sahraei R. Hill T. Wierzbicki J. Power Sources 2012 201 307
27. J. Yan J. Zhang Y.-C. Su X.-G. Zhang B.-J. Xia Electrochim. Acta 2010 55 1785
28. S. Laplace, A Philosophical Essay of Probabilities, translated from the 6th French Edition by, F. W. Truscott, and, F. L. Emory, John Wiley & Sons, New York, 1902
29. E. N. Lorenz J. Atmos. Sci. 1963 20 2 130
30. V. G. Ivancevic and I. T. Tijana, Complex nonlinearity: chaos, phase transitions, topology change, and path integrals, Springer, 2008
31. D. Kondepudi and I. Prigogine, Modern Thermodynamics: From Heat Engines to Dissipative Structures, Wiley, 1998
32. I. Prigogine, Introduction to Thermodynamics of Irreversible Processes, (2nd ed.), New York, Interscience, 1961
33. G. A. Holzapfel T. C. Gasser Comput. Methods Appl. Mech. Eng. 2001 190 4379
34. F. Couenne, D. Eberard, C. Jallut, L. Lefèvre and B. Maschke, Multiscale distributed parameter model of an adsorption column using a port-based geometric approach, European Symposium on Computer Aided Process Engineering, ESCAPE 15, 29 May-1 June 2005, Barcelona, Spain
35. R. Marchand T. Ackerman J. Geophys. Res. 2010 115 D16207
36. M. Stan Nucl. Eng. Technol. 2009 41 1
37. A. A. Baklanov B. Grisogono R. Bornstein L. Mahrt S. S. Zilitinkevich P. Taylor S. E. Larsen M. W. Rotach H. J. S. Fernando Bull. Am. Meteorol. Soc. 2011 92 123
38. J. D. Cole SIAM J. Appl. Math. 1995 55 410
39. M. Ptashnyk T. Roose SIAM J. Appl. Math. 2010 70 2097
40. M. Ptashnyk T. Roose G. Kirk Eur. J. Soil Sci. 2010 61 108
41. G. Botte V. R. Subramanian R. E. White Electrochim. Acta 2000 45 2595
42. M. Doyle J. Newman J. Appl. Electrochem. 1996 27 846
43. M. Doyle J. Newman J. Electrochem. Soc. 1996 143 1890
44. T. F. Fuller M. Doyle J. Newman J. Electrochem. Soc. 1994 141 1
45. T. F. Fuller M. Doyle J. Newman J. Electrochem. Soc. 1994 141 982
46. C. Y. Wang W. B. Gu B. Y. Liaw J. Electrochem. Soc. 1998 145 3407
47. L. Madec L. Falk E. Plasari Chem. Eng. Sci. 2001 56 1731
48. P. Mandin J. M. Cense F. Cesimiro C. Gbado D. Lincot Comput. Chem. Eng. 2007 31 8 980
49. K. Reuter, in Modelling Heterogeneous Catalytic Reactions: From the Molecular Process to the Technical System, ed., O. Deutschmann, Wiley-VCH, Weinheim, 2011
50. D. Sheppard R. Terrell G. Henkelman J. Chem. Phys. 2008 128 134106
51. R. Ferreira de Morais D. Loffreda P. Sautet A. A. Franco Electrochim. Acta 2011 56 28 10842
52. K. Malek A. A. Franco J. Phys. Chem. B 2011 115 25 8088
53. A. A. Franco, Towards a bottom-up multiscale modelling framework for the transient analysis of PEM Fuel Cells operation, book chapter in: Polymer Electrolyte Fuel Cells: Science, Applications and Challenges, ed., A. A. Franco, (publisher: Pan Stanford, distributor: Francis & Taylor), 2013
54. A. A. Franco, A multiscale modelling framework for the transient analysis of electrochemical power generators-From theory to the engineering practice; Habilitation to become Research Director (H.D.R.) manuscript, Université Claude Bernard Lyon-1 (France), 2010 (available online)
55. L. Cai R. E. White J. Power Sources 2011 196 5985
56. G. Hager, Introduction to High Performance Computing for Scientists and Engineers, Chapman & Hall/CRC, Computational Science, 2010
57. M. A. Gabriel T. Deustch L. Genovese G. Krosnicki O. Lemaire A. A. Franco Phys. Chem. Chem. Phys. 2010 12 9406
58. M. A. Gabriel T. Deustch A. A. Franco ECS Trans. 2010 25 22 1
59. D. Frenkel and B. Smit, Understanding Molecular Simulation: from algorithms to applications, Academic Press, 2002
60. S. Plimpton J. Comput. Phys. 1995 117 1
61. D. C. Rapaport, The art of molecular dynamics simulation, Cambridge University Press, 2009
62. M. P. Allen and D. J. Tildesley, Computer simulation of liquids, Clarendon Press, 1989
63. S. Bozic and I. Kondov, eChallenges e-2012 Conference Proceedings ed., P. Cunningham, and, M. Cunningham, IIMC International Information Management Corporation, 2012
64. W. R. Elwasif, D. E. Bernholdt, S. Pannala, S. Allu and S. S. Foley, cse, pp.102-110, 2012 IEEE 15th International Conference on Computational Science and Engineering, 2012
65. M. C. Georgiadis S. Myrian N. Efstratios R. Gani Comput. Chem. Eng. 2002 26 735
66. M. Mangold S. Motz E. D. Gilles Chem. Eng. Sci. 2002 57 4099
67. P. Breedveld, F. Couenne, C. Jallut, B. Maschke and M. Tayakout-Fayolle, Proc. 4th European Congress on Chemical Engineering, Grenada, Spain, 2003
68. F. Couenne C. Jallut B. Maschke P. Breedveld M. Tayakout Math. Comput. Modell. Dyn. Syst. 2006 12 2-3 159
69. P. C. Breedveld, Physical systems theory in terms of bond graphs, PhD thesis, University of Twente, Enschede, Netherlands, 1984
70. P. C. Breedveld and G. Dauphin-Tanguy (ed.), Current topics in bond graph related research, Journal of The Franklin Institute, Special issue on bond-graph modelling, 328 5-6, Pergamon Press, 1991
71. H. M. Paynter, Analysis and design of engineering systems, MIT Press, Cambridge, MA, 1961
72. J. U. Thoma, Introduction to bond graphs and their applications, Pergamon Press, Oxford, 1975
73. J. U. Thoma, Simulation by bond graphs-Introduction to a graphical method, Springer Verlag, 1989
74. L. Menard G. Fontes S. Astier Math. Comput. Simul. 2010 81 2 327
75. J. J. Esperilla J. Felez G. Romero A. Carretero Simulation Modelling Practice and Theory 2007 15 1 82
76. A. A. Franco, PhD thesis, Université Claude Bernard Lyon 1, 2005 (available online)
77. A. A. Franco, C. Jallut and B. Maschke, Multi-scale Bond Graph Model of the Electrochemical Dynamics in a Fuel Cell, in Proc. 5th MATHMOD Conference, ed., I Troch, and, F. Breitenecker, Vienna, Austria, 2006, P103
78. A. A. Franco, M. Tembely, C. Jallut and B. Maschke, in Proc. World Hydrogen Conference (WHEC) 16, Lyon, France, 2006, 572
79. A. A. Franco, C. Jallut and B. Maschke, in preparation, 2013
80. L. Ljung, System Identification-Theory for the User, Prentice-Hall, Upper Saddle River, New Jersey, 2nd edition, 1999
81. L. Ljung T. Glad Automatica 1994 30 2 265
82. E. Walter, Identification of State Space Models, Springer Verlag, Berlin, 1982
83. Identifiability of Parametric Models, ed., E. Walter, Pergamon Press, Oxford, 1987
84. P. M. J. Van den Hof, J. F. M. Van Doren and S. G. Douma, Indetification of parameters in large-scale physical model structures, for the purpose of model-based operations, In: Model-Based Control: Bridging Rigorous Theory and Advanced Technology, ed., P. M. J. Van den Hof, et al., Springer-Verlag, New York, USA, 2009
85. B. Temel et al. J. Chem. Phys. 2007 126 204711
86. M. Maestri K. Reuter Angew. Chem. 2011 123 1226
87. M. K. Sabbe M.-F. Reyniers K. Reuter Catal. Sci. Technol. 2012 2 2010
88. S. Santhanagopalan Q. Guo R. E. White J. Electrochem. Soc. 2007 154 A198
89. V. R. Subramanian S. Devan R. E. White J. Power Sources 2004 135 361
90. V. R. Subramanian R. E. White Comput. Chem. Eng. 2000 24 2405
91. V. R. Subramanian D. Tapriyal R. E. White Electrochem. Solid-State Lett. 2004 7 A259
92. V. Boovaragavan C. A. Basha J. Appl. Electrochem. 2006 36 745
93. V. Boovaragavan C. A. Basha J. Power Sources 2006 158 710
94. Q. Guo V. R. Subramanian J. W. Weidner R. E. White J. Electrochem. Soc. 2002 149 A307
95. V. R. Subramanian V. Boovaragavan K. Potukuchi V. D. Diwakar A. Guduru Electrochem. Solid-State Lett. 2007 10 A25
96. V. R. Subramanian V. Boovaragavan V. D. Diwakar Electrochem. Solid-State Lett. 2007 10 A225
97. V. R. Subramanian V. D. Diwakar D. Tapriyal J. Electrochem. Soc. 2005 152 A2002
98. V. Boovaragavan S. Harinipriya V. R. Subramanian Journal of Power Sources 2008 183 361
99. W. Lai F. Cucci Electrochim. Acta 2011 56 4369
100. K.-H. Xue G. L. Plett Electrochim. Acta 2013 87 575
101. M. Safari C. Delacourt J. Electrochem. Soc. 2011 158 2 A63
102. M. Safari C. Delacourt J. Electrochem. Soc. 2011 158 5 A562
103. D. Fabre D. Guy-Bouyssou P. Bouillon F. Le Cras C. Delacourt J. Electrochem. Soc. 2012 159 2 A104
104. M. Farkhondeh C. Delacourt J. Electrochem. Soc. 2012 159 2 A177
105. C. Delacourt M. Safari J. Electrochem. Soc. 2012 159 8 A1283
106. M. Safari C. Delacourt J. Electrochem. Soc. 2011 158 12 A1436
107. M. Safari C. Delacourt J. Electrochem. Soc. 2011 158 10 A1123
108. J. W. Long B. Dunn D. R. Rolison H. S. White Chem. Rev. 2004 104 4463
109. B. Dunn, J. Long and D. Rolison, ECS Interface, Fall, 2008
110. A. Awarke S. Lauer M. Wittler S. Pischinger Comput. Mater. Sci. 2011 50 871
111. S. Dargaville T. W. Farrell J. Electrochem. Soc. 2010 157 A830
112. J. Newman V. Srinivasan J. Electrochem. Soc. 2004 151 A1517
113. E. Weinan B. Engquist Z. Y. Huang Phys. Rev. B 2003 67 092101
114. C. R. A. Catlow Z. X. Guo M. Miskufova S. A. Shevlin A. G. H. Smith A. Walsh D. J. Wilson S. M. Woodley Philos. Trans. R. Soc. London, Ser. A 2010 368 3379
115. G. Ceder Y. M. Chiang D. R. Sadoway M. K. Aydinol Y. I. Jang B. Huang Nature 1998 392 694
116. Y. Asari, Y. Suwa, T. Hamada, V. A. Dinh, J. Nara and T. Ohno, Abstract #631, Honolulu, ECS Meeting PRiME, 2012
117. Y. Asari Y. Suwa T. Hamada Physical Review B 2011 84 134113
118. R. Malik D. Burch M. Bazant G. Ceder Nano Lett. 2010 10 10 4123
119. J. Yang J. S. Tse J. Phys. Chem. A 2011 115 13045
120. S. Filhol M. Neurock Angew. Chem., Int. Ed. 2006 45 402
121. J.-S. Filhol C. Combelles R. Yazami M.-L. Doublet J. Phys. Chem. C 2008 112 3982
122. A.-L. Dalverny J.-S. Filhol M.-L. Doublet J. Mater. Chem. 2011 21 10134
123. R. Khatib A. L. Dalverny M. Saubanère M. Gaberscek M. L. Doublet J. Phys. Chem. C 2013 117 837
124. X. H. Zhu N. Chen F. Lian et al. Chin. Sci. Bull. 2011 56 3229
125. V. L. Chevrier R. Dahn J. Electrochem. Soc. 2009 156 A454
126. M. L. Suhko K. M. Rosso J. Liu J. Phys. Chem. Lett. 2010 1 1967
127. M. L. Suhko K. M. Rosso J. Liu J. Phys. Chem. C 2010 114 20277
128. M. L. Sushko K. M. Rosso J.-G. Zhang J. Liu J. Phys. Chem. Lett. 2011 2 2352
129. S. P. Ong, A. Jain, G. Hautier, M. Kocher, S. Cholia, D. Gunter, D. Bailey, D. Skinner, K. Persson and G. Ceder, The Materials Project, http://materialsproject.org/
130. A. Jain G. Hautier C. Moore S. P. Ong C. Fischer T. Mueller K. Persson G. Ceder Comput. Mater. Sci. 2011 50 8 2295
131. V. I. Kalikmanov M. V. Koudriachova S. W. de Leeuw Solid State Ionics 2000 136-137 1373
132. J. Cahn J. Hilliard J. Chem. Phys. 1958 28 2 258
133. J. E. Guyer W. J. Boettinger J. A. Warren G. B. McFadden Phys. Rev. E 2004 69 021603
134. J. E. Guyer W. J. Boettinger J. A. Warren G. B. McFadden Phys. Rev. E 2004 69 021604
135. L. Q. Chen, in Multiscale materials modelling: fundamentals and applications, ed., Z. X. Guo, Woodhead, Cambridge, 2007
136. A. J. Bray Adv. Phys. 1994 43 357
137. J. Kim Commun. Nonlinear Sci. Numer. Simul. 2007 12 1560
138. S. M. Choo S. K. Chung K. I. Kim Comput. Math. Appl. 2000 39 229
139. M. Copetti C. M. Elliott Mater. Sci. Technol. 1990 6 273
140. B. C. Han A. Van der Ven D. Morgan G. Ceder Electrochim. Acta 2004 49 4691
141. Y. H. Kao M. Tang N. Meethong J. M. Bai W. C. Carter Y. M. Chiang Chem. Mater. 2010 22 21 5845
142. B. Kang G. Ceder Nature 2009 458 7235 190
143. D. Morgan A. Van der Ven G. Ceder Electrochem. Solid-State Lett. 2004 7 2 A30
144. M. S. Islam D. J. Driscoll C. A. J. Fisher P. R. Slater Chem. Mater. 2005 17 20 5085 5092
145. N. Dupre J. Oliveri J. Degryse J. F. Martin D. Guyomard Ionics 2008 14 3 203
146. H. J. Tan J. L. Dodd B. Fultz J. Phys. Chem. C 2009 113 48 20527
147. G. K. Singh G. Ceder M. Z. Bazant Electrochim. Acta 2008 53 26 7599
148. P. Bai D. A. Cogswell M. Z. Bazant Nano Lett. 2011 11 4890
149. D. A. Cogswell M. Z. Bazant ACS Nano 2012 6 3 2215
150. D. A. Cogswell and M. Z. Bazant, Abstract #734, 220th ECS Meeting, 2011
151. W. Lai F. Ciucci Electrochim. Acta 2010 56 531
152. W. Lai J. Power Sources 2011 196 6534
153. M. Landstorfer S. Funken T. Jacob Phys. Chem. Chem. Phys. 2011 13 12817
154. C. Hin Adv. Funct. Mater. 2011 21 2477
155. J. O. Besenhard H. P. Fritz J. Electrochem. Soc. 1974 3 329
156. K. Fujimura, A. Kuwabara, H. Moriwake, A. Seko, Y. Koyama and I. Tanaka, Abstract #1195, Honolulu, ECS Meeting PRiME, 2012
157. O. Borodin G. D. Smith W. Henderson J. Phys. Chem. B 2006 110 16879
158. O. Borodin G. D. Smith O. Geiculescu S. E. Creager B. Hallac D. DesMarteau J. Phys. Chem. B 2006 110 24266
159. M. Ikeda, T. Yamasaki, C. Kaneta, K. Homma, T. Yamamoto and T. Tanaka, Abstract #1194, Honolulu, ECS Meeting PRiME, 2012
160. M. Ikeda, T. Yamasaki, C. Kaneta, K. Homma, T. Yamamoto and T. Tanaka, the 52nd Battery symposium in Japan, 4C05, 2011, 240, October 17-20, Tokyo
161. J. Yana B.-J. Xiaa Y.-C. Sub X.-Z. Zhoub J. Zhanga X.-G. Zhang Electrochim. Acta 2008 53 7069
162. Y. C. Chen C. Y. Ouyang L. J. Song Z. L. Sun J. Phys. Chem. C 2011 115 7044
163. S. Q. Shi P. Lu Z. Y. Liu Y. Qi L. G. Hector H. Li S. J. Harris J. Am. Chem. Soc. 2012 134 15476
164. O. Borodin G. D. Smith P. Fan J. Phys. Chem. B 2006 110 22773
165. K. Leung, 217th ECS Meeting, Abstract #212
166. K. Leung J. L. Budzien Phys. Chem. Chem. Phys. 2010 12 6583
167. K. Leung Chem. Phys. Lett. 2013
168. O. Borodin T. R. Jow ECS Trans. 2011 33 77
169. L. Xing O. Borodin Phys. Chem. Chem. Phys. 2012 14 12838
170. J. Vatamanu O. Borodin G. D. Smith J. Phys. Chem. C 2012 116 1114
171. O. Borodin G. D. Smith J. Phys. Chem. B 2009 113 1763
172. A. von Wald Cresce O. Borodin K. Xu J. Phys. Chem. C 2012 116 26111
173. R. N. Methekar P. W. C. Northrop K. Chen R. D. Braatz V. R. Subramanian J. Electrochem. Soc. 2011 158 4 A363
174. P. W. C. Northrop, R. D. Braatz and V. R. Subramanian, Abstract #730, Honolulu, ECS Meeting PRiME, 2012
175. A. A. Franco S. Passot P. Fugier E. Billy N. Guillet L. Guetaz E. De Vito S. Mailley ECS Trans. 2008 13 17 29
176. A. A. Franco S. Passot P. Fugier E. Billy N. Guillet L. Guetaz E. De Vito S. Mailley J. Electrochem. Soc. 2009 156 B410
177. S.-K. Cheah O. Lemaire P. Gélin A. A. Franco ECS Trans. 2010 25 35 275
178. S. K. Cheah O. Sycardi L. Guetaz O. Lemaire P. Gelin A. A. Franco J. Electrochem. Soc. 2011 158 11 B1358
179. M. B. Pinson M. Z. Bazant J. Electrochem. Soc. 2013 160 2 A243
180. J. Vetter P. Novák M. R. Wagner C. Veit K.-C. Möller J. O. Besenhard M. Winter M. Wohlfahrt-Mehrens C. Vogler A. Hammouche J. Power Sources 2005 147 269
181. P. Arora R. White J. Electrochem. Soc. 1998 145 3647
182. R. Deshpande M. Verbrugge Y.-T. Cheng J. Wang P. Liu J. Electrochem. Soc. 2012 159 10 A1730
183. Y. Ye Y. Shi A. A. O. Tay J. Power Sources 2012 217 509
184. P. Arora M. Doyle R. White J. Electrochem. Soc. 1999 146 3543
185. M. Ecker, S. Käbitz, J. Gerschler and D. U. Sauer, Abstract #201, 218th ECS Meeting, 2010
186. A. Ferrese P. Albertus J. Christensen J. Newman J. Electrochem. Soc. 2012 159 10 A1615
187. J. Park J. H. Seo G. Plett W. Lu A. M. Sastry Electrochem. Solid-State Lett. 2011 14 2 A14
188. O. Levenspiel, Chemical Reaction Engineering, John Wiley & Sons, New York, 1972
189. K. E. Thomas-Alyea J. Newman G. Chen T. J. Richardson J. Electrochem. Soc. 2004 151 4 A509
190. M. Tang J. Newman J. Electrochem. Soc. 2011 158 5 A530
191. S. Santhanagopalan, G.-H. Kim, K.-J. Lee, K. Smith and A. Pesaran, Abstract #420, 220th ECS Meeting, 2011
192. Y. Kubota, Abstract #944, Honolulu, ECS Meeting PRiME, 2012
193. Y. Wang P. B. Balbuena J. Phys. Chem. B 2002 106 4486
194. K. Tasaki J. Phys. Chem. B 2005 109 2920
195. K. Tasaki A. Goldberg M. Winter Electrochim. Acta 2011 56 10424
196. K. Tasaki and A. Goldberg, Abstract #1259, Honolulu, ECS Meeting PRiME, 2012
197. G. B. Less J. H. Seo S. Han A. M. Sastry J. Zausch A. Latz S. Schmidt C. Wieser D. Kehrwald S. Fell J. Electrochem. Soc. 2012 159 6 A697
198. K. C. Smith, P. P. Mukherjee and T. S. Fisher, Abstract #748, 220th ECS Meeting, 2011
199. K. C. Smith P. P. Mukherjee T. S. Fisher Phys. Chem. Chem. Phys. 2012 14 7040
200. W. Du, N. Xue, A. M. Sastry, J. R. R. A. Martins and W. Shyy, Abstract #883, Honolulu, ECS Meting PRiME, 2012
201. G. M. Goldin A. M. Colclasure A. H. Wiedemann R. J. Kee Electrochim. Acta 2012 64 118
202. C.-W. Wang A. M. Sastry J. Electrochem. Soc. 2007 154 11 A1035
203. W. Dreyer C. Guhlke R. Huth Phys. D 2011 240 1008
204. J. Song M. Z. Bazant J. Electrochem. Soc. 2013 160 1 A15
205. J. H. Cushman L. S. Bennethum B. X. Hu Adv. Water Resour. 2002 25 8-12 1043
206. G. Richardson G. Denuault C. P. Please J. Eng. Math. 2012 72 41
207. S. Whitacker, The Method of Volume Averaging, Kluwer Academic Publishers, The Netherlands, 1998
208. A. Bensoussan, J. L. Lion and G. Papanicolaou, Asymptotic Analysis for Periodic Structures, Studies in Mathematics and its Applications, North Holland, Amsterdam, 1978
209. F. Ciucci W. Lai Transp. Porous Media 2011 88 249
210. R. Thiedmann O. Stenzel A. Spettl P. R. Shearing S. J. Harris N. P. Brandon V. Schmidt Comput. Mater. Sci. 2011 50 3365
211. B. Vijaraghavan, D.-W. Chung, P. Shearingz, N. Brandon, S. Harris and R. E. García, Abstract #347, 221st ECS Meeting, 2012
212. M. Ender, J. Illig and E. Ivers-Tiffée, Abstract #1069, Honolulu, ECS Meeting PRiME, 2012
213. M. Ender, J. Joos, T. Carraro and E. Ivers-Tiffée, J. Electrochem. Soc., in press, 2012
214. M. Ender J. Joos T. Carraro E. Ivers-Tiffée Electrochem. Commun. 2011 13 2 166
215. B. Orvananos, H.-C. Yu, M. Bazant and K. Thornton, Abstract #750, 220th ECS Meeting, 2011
216. G. Liu H. Zheng X. Song V. Battaglia J. Electrochem. Soc. 2012 159 3 A214
217. G. Inoue, T. Matsuoka, Y. Matsukuma and M. Minemoto, Abstract #803, Honolulu, ECS Meeting PRiME, 2012
218. G. Inoue et al. J. Power Sources 2008 175 145
219. G. Inoue et al. ECS Trans. 2008 16 2 1661
220. G. Inoue et al. ECS Trans. 2009 25 1 1519
221. J.-L. Zang and Y.-P. Zhao, International Journal of Engineering Science, 2012, http://dx.doi.org/10.1016/j.ijengsci.2012.06.018
222. R. Purkayastha R. M. McMeeking Comput. Mech. 2012 50 209
223. R. E. Garcia J. Electrochem. Soc. 2005 152 255
224. R. E. Garcia Y. Chiang J. Electrochem. Soc. 2007 154 9 856
225. S. Golmon K. Maute M. L. Dunn Comput. Struct. 2009 87 1567
226. L. Greve C. Fehrenbach J. Power Sources 2012 214 377
227. E. Sahraei J. Campbell T. Wierzbicki J. Power Sources 2012 220 360
228. E. Sahraei R. Hill T. Wierzbicki J. Power Sources 2012 201 307
229. W. G. Sunu B. W. Burrows J. Electrochem. Soc. 1982 129 4 688
230. W. G. Sunu B. W. Burrows J. Electrochem. Soc. 1984 129 4 1
231. S. Li J. W. Evans J. Electrochem. Soc. 2000 147 6 2086
232. A. Pesaran J. Power Sources 2002 110 2 377
233. C. Y. Wang V. Srinivasan J. Power Sources 2002 110 2 364
234. M. Verbrugge AIChE J. 2004 41 6 1550
235. P. Gomadam R. E. White J. W. Weidner J. Electrochem. Soc. 2003 150 A1339
236. U. S. Kim C. B. Shin C.-S. Kim J. Power Sources 2009 189 1 841 846
237. C. Hellwig S. Sorgela W. G. Bessler ECS Trans. 2011 35 32 215
238. G.-H. Kim K. Smith K.-J. Lee S. Santhanagopalan A. Pesaran J. Electrochem. Soc. 2011 158 8 A955
239. R. Spotnitz, G. Yeduvaka, S. Hartridge, R. J. D. Schad and W. Smith, Abstract #836, The 15th International Meeting on Lithium Batteries-IMLB, 2010
240. N. Baba, H. Yoshida, M. Nagaoka, C. Okuda and S. Kawauchi, Abstract #477, Honolulu, ECS Meeting PRiME, 2012
241. R. Spotnitz and G. Yeduvaka, Abstract #1070, Honolulu, ECS Meeting PRiME, 2012
242. K.-J. Lee, K. Smith and G.-H. Kim, Abstract #535, 221st ECS Meeting, 2012
243. W. Zhou and C.-Y. Wang, Abstract #536, 221st ECS Meeting, 2012
244. C. Zhu X. Li L. Song L. Xiang J. Power Sources 2013 223 155
245. H. Sun X. Wang B. Tossan R. Dixon J. Power Sources 2012 206 349
246. A. V. Randalla R. D. Perkinsa X. Zhangb G. L. Plett J. Power Sources 2012 209 282
247. T.-S. Dao C. P. Vyasarayani J. McPhee J. Power Sources 2012 198 329
248. L. F. Lopes Oliveira S. Laref E. Mayousse C. Jallut A. A. Franco Phys. Chem. Chem. Phys. 2012 14 10215
249. L. F. Lopes Oliveira, C. Jallut and A. A. Franco, Electrochimica Acta, submitted, 2012
250. A. A. Franco ECS Trans. 2013 45 27 11
251. R. Ferreira de Morais D. Loffreda P. Sautet A. A. Franco ECS Trans. 2010 25 24 167
252. A. A. Franco P. Schott C. Jallut B. Maschke Fuel Cells 2007 7 99
253. A. A. Franco P. Schott C. Jallut B. Maschke J. Electrochem. Soc. 2006 153 6 A1053
254. A. A. Franco and K. Malek, in preparation, 2013
255. R. Coulon, D. Ichinose, W. Bessler and A. A. Franco, in preparation, 2013
256. S. K. Cheah O. Sycardi L. Guetaz O. Lemaire P. Gelin A. A. Franco J. Electrochem. Soc. 2011 158 11 B1358
257. R. Coulon W. Bessler A. A. Franco ECS Trans. 2010 25 35 259
258. S.-K. Cheah O. Lemaire P. Gélin A. A. Franco ECS Trans. 2010 25 35 275
259. A. A. Franco S. Passot P. Fugier E. Billy N. Guillet L. Guetaz E. De Vito S. Mailley J. Electrochem. Soc. 2009 156 B410
260. A. A. Franco R. Coulon R. Ferreira de Morais S.-K. Cheah A. Kachmar M. A. Gabriel ECS Trans. 2009 25 1 65
261. A. A. Franco M. Guinard B. Barthe O. Lemaire Electrochim. Acta 2009 54 22 5267
262. A. A. Franco M. Gerard J. Electrochem. Soc. 2008 155 4 B367
263. A. A. Franco M. Tembely J. Electrochem. Soc. 2007 154 7 B712
264. A. A. Franco, in Encyclopedia of Applied Electrochemistry: SpringerReference, ed., R. Savinell, K. Ota and G. Kreysa, Springer-Verlag, Berlin Heidelberg, 2013, 10.1007/SpringerReference-303780
265. D. Damasceno Borges K. Malek S. Mossa G. Gebel A. A. Franco ECS Trans. 2013 45 23 101
266. M. Combes B. Buin M. Parenthoên J. Tisseau Proc. Comput. Sci. 2012 1 761
267. A. A. Franco, W. G. Bessler, and, M. L. Doublet, ed., Multiscale modelling and numerical simulation of electrochemical devices for energy conversion and storage, Springer, 2013, in preparation
268. A. A. Franco, Ed., Rechargeable lithium batteries: from fundamentals to applications, Woodhead (UK), 2013, in preparation
269. A. A. Franco, modelling of Direct Alcohol Fuel Cells, book chapter in: Direct Alcohol Fuel Cells Technologies: research and development, ed., E. Gonzalez, and, H. Corti, Springer, in press, 2013