Journal of Inorganic Materials ›› 2017, Vol. 32 ›› Issue (4): 400-406.DOI: 10.15541/jim20160341
• Orginal Article • Previous Articles Next Articles
XIE Jia-Miao, WANG Feng-Hui
Received:
2016-05-25
Revised:
2016-07-11
Published:
2017-04-20
Online:
2017-03-24
Supported by:
CLC Number:
XIE Jia-Miao, WANG Feng-Hui. Thermal Stress Analysis of Solid Oxide Fuel Cell with Anode Functional Layer[J]. Journal of Inorganic Materials, 2017, 32(4): 400-406.
T | NiO-YSZ | YSZ | LSM | NiO | |
---|---|---|---|---|---|
E/GPa | 20℃ | 127.3 | 215 | 110 | 110 |
800℃ | 105.5 | 185 | 118 | 90 | |
$\mu $ | 20℃ | 0.33 | 0.308 | 0.36 | 0.34 |
800℃ | 0.33 | 0.313 | 0.36 | 0.34 | |
CTE /×10-6 | 20℃ | 11.77 | 7.6 | 9.8 | 13.0 |
800℃ | 12.42 | 10.5 | 11.8 | 13.0 | |
1400℃ | 12.50 | 10.5 | 11.8 | 13.1 |
Table 1 Material properties of electrodes and electrolyte[19-21]
T | NiO-YSZ | YSZ | LSM | NiO | |
---|---|---|---|---|---|
E/GPa | 20℃ | 127.3 | 215 | 110 | 110 |
800℃ | 105.5 | 185 | 118 | 90 | |
$\mu $ | 20℃ | 0.33 | 0.308 | 0.36 | 0.34 |
800℃ | 0.33 | 0.313 | 0.36 | 0.34 | |
CTE /×10-6 | 20℃ | 11.77 | 7.6 | 9.8 | 13.0 |
800℃ | 12.42 | 10.5 | 11.8 | 13.0 | |
1400℃ | 12.50 | 10.5 | 11.8 | 13.1 |
Layer | AFL | NiO volume fraction | ||
---|---|---|---|---|
n=2 | n=1 | n=0.5 | ||
1 | AFL1 | 20% | 40% | 56% |
2 | AFL1 | 5% | 20% | 40% |
AFL2 | 45% | 60% | 69% | |
3 | AFL1 | 2.5% | 13% | 32% |
AFL2 | 20% | 40% | 56% | |
AFL3 | 55% | 66% | 73% | |
4 | AFL1 | 1.3% | 10% | 27% |
AFL2 | 11.3% | 30% | 49% | |
AFL3 | 31.0% | 50% | 63% | |
AFL4 | 61.0% | 70% | 75% | |
5 | AFL1 | 1% | 8% | 25% |
AFL2 | 7% | 24% | 43% | |
AFL3 | 20% | 40% | 56% | |
AFL4 | 39% | 56% | 66% | |
AFL5 | 65% | 72% | 76% |
Table 2 Volume fraction of NiO in AFL sublayers
Layer | AFL | NiO volume fraction | ||
---|---|---|---|---|
n=2 | n=1 | n=0.5 | ||
1 | AFL1 | 20% | 40% | 56% |
2 | AFL1 | 5% | 20% | 40% |
AFL2 | 45% | 60% | 69% | |
3 | AFL1 | 2.5% | 13% | 32% |
AFL2 | 20% | 40% | 56% | |
AFL3 | 55% | 66% | 73% | |
4 | AFL1 | 1.3% | 10% | 27% |
AFL2 | 11.3% | 30% | 49% | |
AFL3 | 31.0% | 50% | 63% | |
AFL4 | 61.0% | 70% | 75% | |
5 | AFL1 | 1% | 8% | 25% |
AFL2 | 7% | 24% | 43% | |
AFL3 | 20% | 40% | 56% | |
AFL4 | 39% | 56% | 66% | |
AFL5 | 65% | 72% | 76% |
Presented model | Experimental | Numerical analysis | |
---|---|---|---|
Max. compressive stresses of YSZ /MPa | 633.3 | 670[ | 608.46[ |
Error | — | 5.8% | 3.9% |
Table 3 Comparison results of the maximum compressive stresses of YSZ
Presented model | Experimental | Numerical analysis | |
---|---|---|---|
Max. compressive stresses of YSZ /MPa | 633.3 | 670[ | 608.46[ |
Error | — | 5.8% | 3.9% |
Fig. 6 (a) Maximum tensile stresses of anode with the layers of AFL and the exponent n; (b) contour of anode without AFL; (c) contour of two layers of AFL (n=0.5)
Fig. 7 (a) Maximum compressive stresses of YSZ with the layers of AFL and the exponent n, (b) contour of YSZ without the AFL and (c) contour of YSZ with two layers of the AFL (n=0.5)
[1] | LAURENCIN J, DELETTE G, LEFEBVRE-JORD F, et al.A numerical tool to estimate SOFC mechanical degradation: case of the planar cell configuration. J. Eur. Ceram. Soc., 2008, 28(9): 1857-1869. |
[2] | DUAN Z S, YANG M, YAN A Y, et al.Ba0.5Sr0.5Co0.8Fe0.2O3-δ as a cathode for IT-SOFCs with a GDC interlayer. J. Power Sources, 2006, 160(1): 57-64. |
[3] | CHEN X, LIN Z Z, YIN C, et al.Theoretical prediction of the growth and surface structure of platinum nanoparticles. Acta Phys. Sin., 2012, 61(7): 076801. |
[4] | SELÇUK A, MERERE G, ATKINSON A. The influence of electrodes on the strength of planar zirconia solid oxide fuel cells. J. Mater. Sci., 2001, 36(5): 1173-1182. |
[5] | LIANG L J, LI K, YAN D, et al.Mechanical property and deformation behavior of SOFCs. J. Inorg. Mater., 2015, 30(6): 633-638. |
[6] | CHEN X, YANG J, PU J, et al.Finite element analysis of thermal stresses in planar SOFCs. J. Inorg. Mater., 2007, 22(2): 339-343. |
[7] | 彭晓领. 组元磁化法制备ZrO2/Ni梯度功能材料研究. 浙江: 浙江大学博士学位论文, 2008. |
[8] | ERDOGAN F, WU B H.Crack Problems in FGM layers under thermal stresses. J. Therm. Stresses, 1996, 19(3): 237-265. |
[9] | LEE Y D, ERDOGAN F.Residual/thermal stresses in FGM and laminated thermal barrier coatings. Int. J. Fracture, 1995, 69(2): 145-165. |
[10] | ZHA S W, ZHANG Y L, LIU M L.Functionally graded cathodes fabricated by Sol-Gel/slurry coating for honeycomb SOFCs. Solid State Ionics, 2005, 176(1/2): 25-31. |
[11] | JIANG T Z, WANG Z H, REN B Y, et al.Compositionally continuously graded cathode layers of (Ba0.5Sr0.5)(Fe0.91Al0.09)O3-δ-Gd0.1Ce0.9O2 by wet powder spraying technique for solid oxide fuel cells. J. Power Sources, 2014, 247: 858-864. |
[12] | MCCOPPIN J, BARNEY I, MUKHOPADHYAY S, et al.Compo-sitional control of continuously graded anode functional layer. J. Power Sources, 2012, 215: 160-163. |
[13] | WANG Y S, GROSS D. Analysis of a crack in a functionally gradient interface layer under static and dynamic loading. Key Eng. Mater., 2000, 183-187: 331-336. |
[14] | WANG Y S, HUANG G Y, GROSS D.On the mechanical modeling of functionally graded interracial zone with a griffith crack: anti-plane deformation. J. Appl. Mech.-T. ASME, 2003, 70(5): 676-680. |
[15] | HUANG G Y, WANG Y S, YU S W.A new multi-layered model for in-plane fracture analysis of functionally graded materials (FGMS). Chin. J. Theor. Appl. Mech., 2005, 37(1): 1-8. |
[16] | MÜLLER A C, HERBSTRITT D, IVERS-TIFFÉE E. Development of a multilayer anode for solid oxide fuel cells. Solid State Ionics, 2002, 152-153: 537-542. |
[17] | KONG J R, SUN K N, ZHOU D, et al.Ni-YSZ gradient anodes for anode-supported SOFCs. J. Power Sources, 2007, 166(2): 337-342. |
[18] | ANANDAKUMAR G, Li N, VERMA A, et al.Thermal stress and probability of failure analyses of functionally graded solid oxide fuel cells. J. Power Sources, 2010, 195(19): 6659-6670. |
[19] | NAKAJO A, WUILLENIN Z, HERLE J V, et al.Simulation of thermal stresses in anode-supported solid oxide fuel cell stacks. Part I: Probability of failure of the cells. J. Power Sources, 2009, 193(1): 203-215. |
[20] | CLAGUE R, MARQUIS A J, BRANDON N P.Finite element and analytical stress analysis of a solid oxide fuel cell. J. Power Sources, 2012, 210(15): 224-232. |
[21] | JIANG W C, LUO Y, ZHANG W Y, et al. Effect of temperature fluctuation on creep and failure probability for planar solid oxide fuel cell. J. Fuel Cell Sci. Tech.-T. ASME, 2015, 12(5): 051004- 1-10. |
[22] | KIN J H, PAULINO G H.Isoparametric graded finite elements for nonhomogeneous isotropic and orthotropic materials. J. Appl. Mech., 2002, 69(4): 502-514. |
[23] | HIRANO T, WAKASHIMA K.Mathematical modeling and design. MRS Bull., 1995, 20(1): 40-42. |
[24] | GIANNAKOPOULOS A E, SURESH S, FINOT M, et al.Elastoplastic analysis of thermal cycling: layered materials with compositional gradients. Acta Metal. Mater., 1995, 43(4): 1335-1354. |
[25] | WILLIAMSON R L, RABIN B H, DRAKE J T.Finite element analysis of thermal residual stresses at graded ceramic-metal interfaces. Part I. Model description and geometrical effects. J. Appl. Phys., 1993, 74(2): 1310. |
[26] | AMADA S.Hierarchical functionally gradient structures of bamboo, barley, and corn. MRS Bull., 1995, 20(1): 35-36. |
[27] | TEIXEIRA V. Numerical analysis of the influence of coating porosity and substrate elastic properties on the residual stresses in high temperature graded coatings. Surf. Coat. Tech., 2001, 146-147(2): 79-84. |
[28] | HSIEH C L, TUAN W H.Elastic and thermal expansion behavior of two-phase composites. Mat. Sci. Eng. A-Struct., 2006, 425(1/2): 349-360. |
[29] | YAKABE H, BABA Y, SAKURAI T, et al.Evaluation of the residual stress for anode-supported SOFCs. J. Power Sources, 2004, 135(1/2): 9-16. |
[30] | FAN P F, LI G J, ZENG Y K, et al.Numerical study on thermal stresses of a planar solid oxide fuel cell. Int. J. Therm. Sci., 2014, 77: 1-10. |
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