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Erschienen in: Acta Mechanica 6/2020

07.03.2020 | Original Paper

Thermally induced delamination and buckling of a ceramic coating with temperature-dependent material properties from porous substrate at high temperatures

verfasst von: Y. J. Cui, J. E. Li, B. L. Wang, K. F. Wang

Erschienen in: Acta Mechanica | Ausgabe 6/2020

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Abstract

Ceramic coatings are ideal materials for thermal protection systems such as the thermal shield of the space shuttle. In a high-temperature environment, material properties of ceramics strongly depend on the temperature. The severe mismatch of material properties between the ceramic coating and the substrate can result in progressive mechanical failure of thermal protection system. This paper investigates delamination and buckling behaviors between a temperature-dependent ceramic coating and a porous substrate. The shear stress intensity factor at the tips of the delamination crack and buckling region are derived. Based on the stress intensity factor, the critical temperature of the coating buckling from the substrate is obtained. A fitting formula of the critical buckling temperature with respect to the length-to-thickness ratio of the coating, and the buckling region is obtained. It is found that the effect of the temperature dependence of material properties on delamination and buckling is more significant for higher temperatures than for lower temperatures. The critical temperatures of delamination and buckling are overestimated if the temperature dependence of material properties is neglected. The critical temperatures of delamination and buckling increase with the porosity of the substrate.
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Literatur
1.
Zurück zum Zitat Kravchuk, L.V., Buiskikh, K.P., Gusarova, I.A., et al.: Methods for the simulation of the aerodynamic heating conditions of the structural elements of space shuttles. Strength Mater. 50, 565–574 (2018) Kravchuk, L.V., Buiskikh, K.P., Gusarova, I.A., et al.: Methods for the simulation of the aerodynamic heating conditions of the structural elements of space shuttles. Strength Mater. 50, 565–574 (2018)
2.
Zurück zum Zitat Wang, Y., Chen, Z.F., Yu, S.J., et al.: Improved sandwich structured ceramic matrix composites with excellent thermal insulation. Compos. Part B Eng. 129, 180–186 (2017) Wang, Y., Chen, Z.F., Yu, S.J., et al.: Improved sandwich structured ceramic matrix composites with excellent thermal insulation. Compos. Part B Eng. 129, 180–186 (2017)
3.
Zurück zum Zitat Green, D.J., Colombo, P.: Cellular ceramics: intriguing structures, novel properties and innovative applications. Mater. Res. Soc. Bull. 28, 296–300 (2003) Green, D.J., Colombo, P.: Cellular ceramics: intriguing structures, novel properties and innovative applications. Mater. Res. Soc. Bull. 28, 296–300 (2003)
4.
Zurück zum Zitat Vogt, U., Gorbar, M., Dimopoulos-Eggenschwiler, P., et al.: Improving the properties of ceramic foams by a vacuum infiltration process. J. Eur. Ceram. Soc. 30, 3005–3011 (2010) Vogt, U., Gorbar, M., Dimopoulos-Eggenschwiler, P., et al.: Improving the properties of ceramic foams by a vacuum infiltration process. J. Eur. Ceram. Soc. 30, 3005–3011 (2010)
5.
Zurück zum Zitat Jiang, M., Wang, X.H., Pak, J.J.: Formation of low-melting-point inclusions in Al-deoxidized steel refined by high-basicity calcium aluminate slag in \(\text{ ZrO }_2\) crucible experiments. Metall. Mater. Trans. B Process Metall. Mater. Process. Sci. 45, 1248–1259 (2014) Jiang, M., Wang, X.H., Pak, J.J.: Formation of low-melting-point inclusions in Al-deoxidized steel refined by high-basicity calcium aluminate slag in \(\text{ ZrO }_2\) crucible experiments. Metall. Mater. Trans. B Process Metall. Mater. Process. Sci. 45, 1248–1259 (2014)
6.
Zurück zum Zitat Glaser, P.E., Arthur, D.: Thermal insulation systems, Technical report NASA SP-5027, 82-83 (1967) Glaser, P.E., Arthur, D.: Thermal insulation systems, Technical report NASA SP-5027, 82-83 (1967)
7.
Zurück zum Zitat Fesmire, J.E., Coffman, B.E., Meneghelli, B.J., et al.: Spray-on foam insulations for launch vehicle cryogenic tanks. Cryogenics 52, 251–261 (2012) Fesmire, J.E., Coffman, B.E., Meneghelli, B.J., et al.: Spray-on foam insulations for launch vehicle cryogenic tanks. Cryogenics 52, 251–261 (2012)
8.
Zurück zum Zitat Sun, Z.Q., Lu, C., Fan, J.M., et al.: Porous silica ceramics with closed-cell structure prepared by inactive hollow spheres for heat insulation. J Alloys Compd. 662, 157–164 (2016) Sun, Z.Q., Lu, C., Fan, J.M., et al.: Porous silica ceramics with closed-cell structure prepared by inactive hollow spheres for heat insulation. J Alloys Compd. 662, 157–164 (2016)
9.
Zurück zum Zitat Liang, C.Y., Wang, Z.F., Wu, L.N., et al.: Light and strong hierarchical porous SiC foam for efficient electromagnetic interference shielding and thermal insulation at elevated temperatures. ACS Appl. Mater. Interfaces 9, 29950–29957 (2017) Liang, C.Y., Wang, Z.F., Wu, L.N., et al.: Light and strong hierarchical porous SiC foam for efficient electromagnetic interference shielding and thermal insulation at elevated temperatures. ACS Appl. Mater. Interfaces 9, 29950–29957 (2017)
10.
Zurück zum Zitat Xu, D., Jiang, H.Y., Ming, L.: Synthesis of monolithic alumina-silica hollow microspheres and their heat-shielding performance for adiabatic materials. Ceram. Int. 44, 1545–1555 (2018) Xu, D., Jiang, H.Y., Ming, L.: Synthesis of monolithic alumina-silica hollow microspheres and their heat-shielding performance for adiabatic materials. Ceram. Int. 44, 1545–1555 (2018)
11.
Zurück zum Zitat Sharafat, S., Ghoniem, N., Williams, B., et al.: Cellular foams a potential innovative solid breeder material for fusion applications. Fusion Sci. Technol. 47, 886–890 (2005) Sharafat, S., Ghoniem, N., Williams, B., et al.: Cellular foams a potential innovative solid breeder material for fusion applications. Fusion Sci. Technol. 47, 886–890 (2005)
12.
Zurück zum Zitat Uhlířová, T., Nečina, V., Pabst, W.: Modeling of Young’s modulus and thermal conductivity evolution of partially sintered alumina ceramics with pore shape changes from concave to convex. J. Eur. Ceram. Soc. 38, 3004–3011 (2018) Uhlířová, T., Nečina, V., Pabst, W.: Modeling of Young’s modulus and thermal conductivity evolution of partially sintered alumina ceramics with pore shape changes from concave to convex. J. Eur. Ceram. Soc. 38, 3004–3011 (2018)
13.
Zurück zum Zitat Pabst, W., Uhlířová, T., Gregorová, E., et al.: Young’s modulus and thermal conductivity of closed-cell, open-cell and inverse ceramic foams-model-based predictions, cross-property predictions and numerical calculations. J. Eur. Ceram. Soc. 38, 2570–2578 (2018) Pabst, W., Uhlířová, T., Gregorová, E., et al.: Young’s modulus and thermal conductivity of closed-cell, open-cell and inverse ceramic foams-model-based predictions, cross-property predictions and numerical calculations. J. Eur. Ceram. Soc. 38, 2570–2578 (2018)
14.
Zurück zum Zitat Zhang, Y.X., Wang, B.L.: Thermal shock resistance analysis of a semi-infinite ceramic foam. Int. J. Eng. Sci. 62, 22–30 (2013) Zhang, Y.X., Wang, B.L.: Thermal shock resistance analysis of a semi-infinite ceramic foam. Int. J. Eng. Sci. 62, 22–30 (2013)
15.
Zurück zum Zitat Zhang, Y.X., Wang, B.L., Li, J.E.: The thermal shock resistance analysis of ceramic foams. J. Am. Ceram. Soc. 96, 2615–2622 (2013) Zhang, Y.X., Wang, B.L., Li, J.E.: The thermal shock resistance analysis of ceramic foams. J. Am. Ceram. Soc. 96, 2615–2622 (2013)
16.
Zurück zum Zitat Zhang, G.X., Wang, H.L., Shen, S.P.: A chemomechanical coupling model for stress analysis of oxide scale growing between ceramic coating and substrate. ACTA Mech. 228, 3173–3183 (2017)MathSciNet Zhang, G.X., Wang, H.L., Shen, S.P.: A chemomechanical coupling model for stress analysis of oxide scale growing between ceramic coating and substrate. ACTA Mech. 228, 3173–3183 (2017)MathSciNet
17.
Zurück zum Zitat Yalkin, H.E., Icten, B.M., Alpyildiz, T.: Enhanced mechanical performance of foam core sandwich composites with through the thickness reinforce core. Compos. Part B Eng. 79, 383–391 (2015) Yalkin, H.E., Icten, B.M., Alpyildiz, T.: Enhanced mechanical performance of foam core sandwich composites with through the thickness reinforce core. Compos. Part B Eng. 79, 383–391 (2015)
18.
Zurück zum Zitat Triantou, K., Mergia, K., Florez, S., et al.: Thermo-mechanical performance of an ablative/ceramic composite hybrid thermal protection structure for re-entry applications. Compos. Part B Eng. 82, 159–165 (2015) Triantou, K., Mergia, K., Florez, S., et al.: Thermo-mechanical performance of an ablative/ceramic composite hybrid thermal protection structure for re-entry applications. Compos. Part B Eng. 82, 159–165 (2015)
19.
Zurück zum Zitat Hou, X.B., Zhang, R.B., Fang, D.: Novel whisker-reinforced \(\text{ Al }_{{2}} \text{ O }_{{3}}\)–\(\text{ SiO }_{{2}}\) aerogel composites with ultra-low thermal conductivity. Ceram. Int. 43, 9547–9551 (2017) Hou, X.B., Zhang, R.B., Fang, D.: Novel whisker-reinforced \(\text{ Al }_{{2}} \text{ O }_{{3}}\)\(\text{ SiO }_{{2}}\) aerogel composites with ultra-low thermal conductivity. Ceram. Int. 43, 9547–9551 (2017)
20.
Zurück zum Zitat Shariyat, M.: A nonlinear Hermitian transfinite element method for transient behavior analysis of hollow functionally graded cylinders with temperature-dependent materials under thermo-mechanical loads. Int. J. Press. Vessel. Pip. 86, 280–289 (2009) Shariyat, M.: A nonlinear Hermitian transfinite element method for transient behavior analysis of hollow functionally graded cylinders with temperature-dependent materials under thermo-mechanical loads. Int. J. Press. Vessel. Pip. 86, 280–289 (2009)
21.
Zurück zum Zitat Argeso, H., Eraslan, A.N.: On the use of temperature-dependent physical properties in thermomechanical calculations for solid and hollow cylinders. Int. J. Therm. Sci. 47, 136–143 (2008) Argeso, H., Eraslan, A.N.: On the use of temperature-dependent physical properties in thermomechanical calculations for solid and hollow cylinders. Int. J. Therm. Sci. 47, 136–143 (2008)
22.
Zurück zum Zitat Deng, Y., Li, W.G., Shao, J.X., et al.: Modeling the temperature-dependent non-steady state first matrix cracking stress for fiber ceramic matrix composites. J. Alloys Compd. 740, 987–996 (2018) Deng, Y., Li, W.G., Shao, J.X., et al.: Modeling the temperature-dependent non-steady state first matrix cracking stress for fiber ceramic matrix composites. J. Alloys Compd. 740, 987–996 (2018)
23.
Zurück zum Zitat Han, J.C., Wang, B.L.: Thermal shock resistance of ceramics with temperature-dependent material properties at elevated temperature. Acta Mater. 59, 1373–1382 (2011) Han, J.C., Wang, B.L.: Thermal shock resistance of ceramics with temperature-dependent material properties at elevated temperature. Acta Mater. 59, 1373–1382 (2011)
24.
Zurück zum Zitat Deng, Y., Li, W.G., Zhang, X., et al.: Characterization model of thermal shock resistance for fiber reinforced brittle matrix composites over a wide range of cooling environment temperatures. Ceram. Int. 44, 5518–5523 (2018) Deng, Y., Li, W.G., Zhang, X., et al.: Characterization model of thermal shock resistance for fiber reinforced brittle matrix composites over a wide range of cooling environment temperatures. Ceram. Int. 44, 5518–5523 (2018)
25.
Zurück zum Zitat Wang, B.L., Cui, Y.J.: Transient interlaminar thermal stress in multi-layered thermoelectric materials. Appl. Therm. Eng. 119, 207–214 (2017) Wang, B.L., Cui, Y.J.: Transient interlaminar thermal stress in multi-layered thermoelectric materials. Appl. Therm. Eng. 119, 207–214 (2017)
26.
Zurück zum Zitat Tao, C., Fu, Y.M.: Thermal buckling and postbuckling analysis of size-dependent composite laminated microbeams based on a new modified couple stress theory. ACTA Mech. 228, 1711–1724 (2017)MathSciNetMATH Tao, C., Fu, Y.M.: Thermal buckling and postbuckling analysis of size-dependent composite laminated microbeams based on a new modified couple stress theory. ACTA Mech. 228, 1711–1724 (2017)MathSciNetMATH
27.
Zurück zum Zitat Kumar, R., Ramachandra, L.S., Banerjee, B.: Semi-analytical approach for thermal buckling and postbuckling response of rectangular composite plates subjected to localized thermal heating. ACTA Mech. 228, 1767–1791 (2017)MathSciNetMATH Kumar, R., Ramachandra, L.S., Banerjee, B.: Semi-analytical approach for thermal buckling and postbuckling response of rectangular composite plates subjected to localized thermal heating. ACTA Mech. 228, 1767–1791 (2017)MathSciNetMATH
28.
Zurück zum Zitat Zhang, A.B., Wang, B.L.: Temperature and electric potential fields of an interface crack in a layered thermoelectric or metal/thermoelectric material. Int. J. Therm. Sci. 104, 396–403 (2016) Zhang, A.B., Wang, B.L.: Temperature and electric potential fields of an interface crack in a layered thermoelectric or metal/thermoelectric material. Int. J. Therm. Sci. 104, 396–403 (2016)
29.
Zurück zum Zitat Zhang, A.B., Wang, B.L., Pang, D.D., et al.: Influence of leg geometry configuration and contact resistance on the performance of annular thermoelectric generators. Energy Convers. Manag. 166, 337–342 (2018) Zhang, A.B., Wang, B.L., Pang, D.D., et al.: Influence of leg geometry configuration and contact resistance on the performance of annular thermoelectric generators. Energy Convers. Manag. 166, 337–342 (2018)
30.
Zurück zum Zitat Lou, J., He, L.W., Du, J.K., et al.: Buckling and post-buckling analyses of piezoelectric hybrid microplates subject to thermo-electro-mechanical loads based on the modified couple stress theory. Compos. Struct. 153, 332–344 (2016) Lou, J., He, L.W., Du, J.K., et al.: Buckling and post-buckling analyses of piezoelectric hybrid microplates subject to thermo-electro-mechanical loads based on the modified couple stress theory. Compos. Struct. 153, 332–344 (2016)
31.
Zurück zum Zitat Cui, Y.J., Wang, B.L., Wang, P.: Analysis of thermally induced delamination and buckling of thin-film thermoelectric generators made up of pn-junctions. Int. J. Mech. Sci. 149, 393–401 (2017) Cui, Y.J., Wang, B.L., Wang, P.: Analysis of thermally induced delamination and buckling of thin-film thermoelectric generators made up of pn-junctions. Int. J. Mech. Sci. 149, 393–401 (2017)
32.
Zurück zum Zitat Lou, J., He, L.W., Wu, H.P., et al.: Pre-buckling and buckling analyses of functionally graded microshells under axial and radial loads based on the modified couple stress theory. Compos. Struct. 142, 226–237 (2016) Lou, J., He, L.W., Wu, H.P., et al.: Pre-buckling and buckling analyses of functionally graded microshells under axial and radial loads based on the modified couple stress theory. Compos. Struct. 142, 226–237 (2016)
33.
Zurück zum Zitat Tanigawa, Y., Matsumoto, M., Akai, T.: Optimization of material composition to minimize thermal stresses in nonhomogeneous plate subjected to unsteady heat supply. Jpn. Soc. Mech. Eng. Int. J. Ser. A 40, 84–93 (1997) Tanigawa, Y., Matsumoto, M., Akai, T.: Optimization of material composition to minimize thermal stresses in nonhomogeneous plate subjected to unsteady heat supply. Jpn. Soc. Mech. Eng. Int. J. Ser. A 40, 84–93 (1997)
34.
Zurück zum Zitat Huo, W.L., Zhang, X.Y., Chen, Y.G., et al.: Novel mullite ceramic foams with high porosity and strength using only fly ash hollow spheres as raw material. J. Eur. Ceram. Soc. 38, 2035–2042 (2018) Huo, W.L., Zhang, X.Y., Chen, Y.G., et al.: Novel mullite ceramic foams with high porosity and strength using only fly ash hollow spheres as raw material. J. Eur. Ceram. Soc. 38, 2035–2042 (2018)
35.
Zurück zum Zitat Lu, T.J., Fleck, N.A.: The thermal shock resistance of solids. Acta Mater. 46, 4755–4768 (1998) Lu, T.J., Fleck, N.A.: The thermal shock resistance of solids. Acta Mater. 46, 4755–4768 (1998)
36.
Zurück zum Zitat Muskhelishvili, N.I.: Some Basic Problem of the Mathematical Theory of Elasticity, pp. 391–413. Noordhoff, Groningen (1953) Muskhelishvili, N.I.: Some Basic Problem of the Mathematical Theory of Elasticity, pp. 391–413. Noordhoff, Groningen (1953)
37.
Zurück zum Zitat Zhang, A.B., Wang, B.L.: Explicit solutions of an elliptic hole or a crack problem in thermoelectric materials. Eng. Fract. Mech. 151, 11–21 (2016) Zhang, A.B., Wang, B.L.: Explicit solutions of an elliptic hole or a crack problem in thermoelectric materials. Eng. Fract. Mech. 151, 11–21 (2016)
38.
Zurück zum Zitat Cui, Y.J., Wang, B.L., Wang, K.F., et al.: Fracture mechanics analysis of delamination buckling of a porous ceramic foam coating from elastic substrate. Ceram. Int. 44, 17986–17991 (2018) Cui, Y.J., Wang, B.L., Wang, K.F., et al.: Fracture mechanics analysis of delamination buckling of a porous ceramic foam coating from elastic substrate. Ceram. Int. 44, 17986–17991 (2018)
39.
Zurück zum Zitat Li, B., Li, C.X., Wei, C.L.: Surface effects on the posting of nanowires. Chin. Phys. Lett. 28, 046202 (2011) Li, B., Li, C.X., Wei, C.L.: Surface effects on the posting of nanowires. Chin. Phys. Lett. 28, 046202 (2011)
40.
Zurück zum Zitat Wang, K.F., Wang, B.L., Zhang, C.W.: Surface energy and thermal stress effect on nonlinear vibration of electrostatically actuated circular micro-/nanoplates based on modified couple stress theory. Acta Mech. 228, 129–140 (2016)MathSciNetMATH Wang, K.F., Wang, B.L., Zhang, C.W.: Surface energy and thermal stress effect on nonlinear vibration of electrostatically actuated circular micro-/nanoplates based on modified couple stress theory. Acta Mech. 228, 129–140 (2016)MathSciNetMATH
41.
Zurück zum Zitat Xue, Q.C., Zhang, J.C., He, J., et al.: Control performance and robustness of pounding tuned mass damper for vibration reduction in SDOF structure. Shock Vib. 2016, 1–15 (2016) Xue, Q.C., Zhang, J.C., He, J., et al.: Control performance and robustness of pounding tuned mass damper for vibration reduction in SDOF structure. Shock Vib. 2016, 1–15 (2016)
42.
Zurück zum Zitat Khoramishad, H., Ebrahimijmal, M., Fasihi, M.: The effect of grapheme oxide nano-platelets on fracture behavior of adhesively bonded joints. Fatigue Fract. Eng. Mater. Struct. 40, 1905–1916 (2017) Khoramishad, H., Ebrahimijmal, M., Fasihi, M.: The effect of grapheme oxide nano-platelets on fracture behavior of adhesively bonded joints. Fatigue Fract. Eng. Mater. Struct. 40, 1905–1916 (2017)
Metadaten
Titel
Thermally induced delamination and buckling of a ceramic coating with temperature-dependent material properties from porous substrate at high temperatures
verfasst von
Y. J. Cui
J. E. Li
B. L. Wang
K. F. Wang
Publikationsdatum
07.03.2020
Verlag
Springer Vienna
Erschienen in
Acta Mechanica / Ausgabe 6/2020
Print ISSN: 0001-5970
Elektronische ISSN: 1619-6937
DOI
https://doi.org/10.1007/s00707-020-02624-8

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