Abstract
In this study, firstly, starting from the effect on material yield, an equivalent relationship between dislocation climbing activation energy, thermal energy, and elastic deformation energy is established, and the weakening effect of dislocation climbing on yield strength and its variation with temperature are studied. Then, the dispersion strengthening, fine grain strengthening, and dislocation strengthening mechanisms and their evolution with temperature are quantitatively characterized. Furthermore, the quantitative effects of particle and grain growth on the main control mechanism when the temperature is greater than the recrystallization temperature were effectively introduced. Consequently, a theoretical characterization model is derived for predicting the temperature dependent yield strength of oxide dispersion strengthened superalloy. The predictions of the model are in good consistency with available experimental results of widely used oxide dispersion strengthened superalloys. Moreover, using the proposed model, the variation of the contribution of different influence mechanisms to the yield strength with temperature was analyzed, and the main microstructure evolutions that influence the temperature dependent yield strength of oxide dispersion strengthened superalloy has been theoretically revealed. Meanwhile, the effects of oxide particle size and volume fraction on the yield strength were studied. More importantly, this work not only provides a quantitative tool for monitoring the yield failure of oxide dispersion strengthened superalloy at high temperatures, but also lays a theoretical foundation for further improving the high-temperature yield strength of oxide dispersion strengthened superalloy.
Graphical Abstract
Similar content being viewed by others
References
L. Zhang, X. Qu, X. He, R.-U. Din, H. Liu, M. Qin, H. Zhu, J. Mater. Eng. Perform. 21, 2487–2494 (2012)
Y. Ijiri, N. Oono, S. Ukai, S. Ohtsuka, T. Kaito, Y. Matsukawa, Nucl. Mater. Energy. 9, 378–382 (2016)
A.J. Zimmermann, H.R. Sandim, A.F. Padilha, Rem-Rev. Esc. Minas. 63, 287–292 (2010)
J.H. Schneibel, C.T. Liu, M.K. Miller, M.J. Mills, P. Sarosi, M. Heilmaier, D. Sturm, Scripta Mater. 61, 793–796 (2009)
Y. Zhao, H. Yao, X. Song, J. Jia, Z. Xiang, Met. Mater. Int. 24, 51–59 (2018)
M. Mehdizadeh, H. Farhangi, Met. Mater. Int. 28, 2719–2734 (2022)
D. Mcclintock, M.A. Sokolov, D.T. Hoelzer, R.K. Nanstad, J. Nucl. Mater. 392, 353–359 (2009)
Z. Oksiuta, P. Olier, Y. De Carlan, N. Baluc, J. Nucl. Mater. 393, 114–119 (2009)
M.A. Sokolov, D.T. Hoelzer, R.E. Stoller, D.A. McClintock, J. Nucl. Mater. 367, 213–216 (2007)
T. Boegelein, S.N. Dryepondt, A. Pandey, K. Dawson, G.J. Tatlock, Acta Mater. 87, 201–215 (2015)
J.-L. Lin, K. Mo, D. Yun, Y. Miao, X. Liu, H. Zhao, D.T. Hoelzer, J.-S. Park, J. Almer, G. Zhang, J. Nucl. Mater. 471, 289–298 (2016)
D. Srinivasan, R. Corderman, P. Subramanian, Mat. Sci. Eng. A-Struct 416, 211–218 (2006)
J. Malaplate, F. Mompiou, J. Béchade, T. Berghe, M. Ratti, J. Nucl. Mater. 417, 205–208 (2011)
C. Sun, D. Brown, B. Clausen, D. Foley, K. Yu, Y. Chen, S. Maloy, K. Hartwig, H. Wang, X. Zhang, Int. J. Plast. 53, 125–134 (2014)
G.-H. Zhao, X. Liang, B. Kim, P. Rivera-Díaz-del-Castillo, Mat. Sci. Eng. A-Struct 756, 156–160 (2019)
R. Wang, W. Guo, J. Wang, K. Yuan, L. Liu, P. Li, Y. Li, Mech. Mater. 151, 103641 (2020)
Q. Li, F. Qiu, Y.-Y. Gao, B.-X. Dong, S.-L. Shu, M.-M. Lv, H.-Y. Yang, Q.-L. Zhao, Q.-C. Jiang, J. Alloys Compd. 788, 1309–1321 (2019)
Q. Li, F. Qiu, B.-X. Dong, X. Gao, S.-L. Shu, H.-Y. Yang, Q.-C. Jiang, Mat. Sci. Eng. A-Struct. 777, 139081 (2020)
H. Yu, S. Ukai, N. Oono, J. Alloys Compd. 714, 715–724 (2017)
H. Wei, Y. Xiang, P. Ming, Commun. Comput. Phys. 4, 275–293 (2008)
W. Li, F. Yang, D. Fang, Acta. Mech. Sinica-Prc 26(2), 235–239 (2010)
T. Cheng, D. Fang, Y. Yang, J. Appl. Phys. 123, 085902 (2018)
P. Geng, W. Li, X. Zhang, X. Zhang, Y. Deng, H. Kou, J. Phys. D Appl. Phys. 50, 40LT02 (2017)
X. Zhang, W. Li, J. Shao, Y. Deng, J. Ma, Y. Li, D. Li, Physica B 584, 412071 (2020)
P. Dong, W. Li, S. Zheng, Y. Li, Y. Deng, M. Yang, X. Zhang, Z. Qu, D. Li, Mater. Res. Express. 6, 126114 (2020)
W. Li, X. Zhang, H. Kou, R. Wang, D. Fang, Int. J. Mech. Sci. 105, 273–278 (2016)
J. Lutsko, D. Wolf, S. Phillpot, S. Yip, Phys. Rev. B 40, 2841 (1989)
V. Sorkin, E. Polturak, J. Adler, Phys. Rev. B 68, 174103 (2003)
C. Reina, J. Marian, J. Mech. Phys. Solids 69, 123–131 (2014)
X. Zhang, W. Li, J. Ma, Y. Li, X. Zhang, X. Zhang, J. Alloys Compd. 851, 156747 (2021)
X. Zhang, W. Li, J. Ma, Y. Li, Y. Deng, M. Yang, Y. Zhou, X. Zhang, P. Dong, Compos. Struct. 244, 112246 (2020)
W. Li, J. Ma, H. Kou, J. Shao, X. Zhang, Y. Deng, Y. Tao, D. Fang, Int. J. Plast. 116, 143–158 (2019)
M. Yang, W. Li, Z. Zhao, Y. He, X. Zhang, Y. Ma, P. Dong, S. Zheng, Compos. Sci. Technol. 220, 109265 (2022)
Y. He, W. Li, M. Yang, Z. Zhao, X. Zhang, P. Dong, S. Zheng, Y. Ma, Int. J. Fatigue 161, 106896 (2022)
X. Zhang, W. Li, J. Ma, P. Geng, J. Shao, X. Wu, Comp. Mater. Sci. 129, 147–155 (2017)
L.C. Stearns, M.P. Harmer, J. Am. Ceram. Soc. 79, 3013–3019 (1996)
K. Luo, S. Liu, H. Xiong, Y. Zhang, C. Kong, H. Yu, Met. Mater. Int. 28, 2811–2821 (2022)
G. Fu, N. Li, A. Misra, R. Hoagland, H. Wang, X. Zhang, Mat. Sci. Eng. A-Struct. 493(1–2), 283–287 (2008)
M. Munoz-Morris, C.G. Oca, D.G. Morris, Acta Mater. 50, 2825–2836 (2002)
G.J. Zhang, Y.J. Sun, R.M. Niu, J. Sun, J.F. Wei, B.H. Zhao, L.X. Yang, Adv. Eng. Mater. 6, 943–948 (2004)
R. Tao, Y. Zhao, G. Chen, X. Kai, Met. Mater. Int. 28, 3145–3159 (2022)
B. Wang, W. Ning, Y. Yang, H. Zhong, X. Zhang, R. Liu, T. Nonferr, Metal. Soc. 28, 1132–1140 (2018)
W. Hu, Z. Huang, Q. Yu, Y. Wang, Y. Jiao, Y. Zhou, H. Zhai, Met. Mater. Int. 27, 3003–3012 (2021)
F. Liu, Study on fabrication and strengthening mechanism of oxide dispersion strengthened iron--based super alloy, Central South University (2012)
Y. Zhao, Q. Fang, Y. Liu, P. Wen, Y. Liu, Int. J. Plast. 69, 89–101 (2015)
E. Arzt, D. Wilkinson, Acta Metall. 34, 1893–1898 (1986)
J.H. Kim, T.S. Byun, D.T. Hoelzer, C.H. Park, J.T. Yeom, J.K. Hong, Mat. Sci. Eng. A-Struct 559, 111–118 (2013)
H. Yu, Chin. J. Nonferrous Metals 30, 507–517 (2020)
N. Kanetake, M. Nomura, T. Choh, Mater. Sci. Technol. 11, 1246–1252 (1995)
Q. Meng, Z. Wang, Eng. Fract. Mech. 142, 170–183 (2015)
T. Xia, Microstructure and Mechanical Properties of Nanoparticle Dispersion Strengthened Ultrafine Grained Superalloys, Shanghai Jiao Tong University (2018)
W. Li, H. Kou, X. Zhang, J. Ma, D. Fang, Mech. Mater. 139, 103194 (2019)
P. Dong, Y. Ma, X. Zhang, Y. He, Z. Zhao, J. Ma, W. Li, Y. Li, Compos. Struct. 316, 117051 (2023)
B. Toulas, The Melting Point of Steel Alloys (2019). https://www.engineeringclicks.com/melting-point-of-steel/. Accessed 27 Sep 2023
D. Ye, J. Hu, Practical Handbook of Thermodynamic Data for Inorganic Compounds (Metallurgy Industry Publishing House, Beijing, 1981)
W. Koster, Ztsch. für Metallkunde 39, 1 (1948)
M.F. Giordana, P.F. Giroux, I. Alvarez-Armas, M. Sauzay, A. Armas, T. Kruml, Mat. Sci. Eng. A-Struct 550, 103–111 (2012)
Y. Mao, J. Engels, A. Houben, M. Rasinski, J. Steffens, A. Terra, C. Linsmeier, J. Coenen, Nucl. Mater. Energy. 10, 1–8 (2017)
I. Holzer, E. Kozeschnik, Mat. Sci. Eng. A-Struct 527, 3546–3551 (2010)
E. Galindo-Nava, L. Connor, C. Rae, Acta Mater. 98, 377–390 (2015)
R. Schaeublin, T. Leguey, P. Spätig, N. Baluc, M. Victoria, J. Nucl. Mater. 307, 778–782 (2002)
H. Asahi, A. Yagi, M. Ueno, ISIJ Int. 33, 1190–1195 (1993)
S. Takaki, Mater. Sci. Forum Trans. Tech. Publ. 706, 181–185 (2012)
R. Kozar, A. Suzuki, W. Milligan, J. Schirra, M. Savage, T. Pollock, Metall. Mater. Trans. A 40, 1588–1603 (2009)
F. Nix, D. MacNair, Phys. Rev. 60, 597 (1941)
Y. Liu, F. Sommer, E. Mittemeijer, Thermochim. Acta 413, 215–225 (2004)
Y. Gan, Z.L. Tian, H. Dong, D. Feng, X.L. Wang, Gangtie Cailiao Shouce, 1st edn. (Chemical Industry Press, Beijing, 2009)
Y. Dalun, H. Jianhua, Practical Manual of Inorganic Thermodynamic Data, Edition 2 (Metallurgy Industry Press, Beijing, 2002)
T. Thiyagarajan, P. Ananthapadmanabhan, K. Sreekumar, Y. Chakravarthy, A. Das, L. Gantayet, B. Selvan, K. Ramachandran, Surf. Eng. 28, 646–656 (2012)
K. Hw, Physical Metallurgy, 3rd edn. (North-Holland, Amsterdam, 1983)
R. Gaboriaud, F. Pailloux, P. Guerin, F. Paumier, J. Phys. D Appl. Phys. 33, 2884 (2000)
R. Singer, G. Gessinger, Metall. Trans. A 13, 1463–1470 (1982)
S.H. Park, H.S. Kim, B.S. You, Met. Mater. Int. 20, 291–296 (2014)
J. Bocos, E. Novillo, M. Petite, A. Iza-Mendia, I. Gutierrez, Metall. Mater. Trans. A 34, 827–839 (2003)
B. Leng, S. Ukai, Y. Sugino, Q. Tang, T. Narita, S. Hayashi, F. Wan, S. Ohtsuka, T. Kaito, ISIJ Int. 51, 951–957 (2011)
J. Pan, J. Tong, M. Tian, Fundamentals of Materials Science, Revised edn. (2011)
T. Cheng, D. Fang, Y. Yang, J. Appl. Mech. 85(3), 031005 (2018)
Q. Jiang, H. Shi, M. Zhao, Acta Mater. 47, 2109–2112 (1999)
Z. Zhang, M. Zhao, Q. Jiang, Semicond. Sci. Technol. 16, L33 (2001)
R. Klueh, Metall. Trans. A 20, 463–470 (1989)
L. Ye, M. Qin, L. Zhang, B. Jia, Z. Cao, D. Zhang, X. Qu, T. Nonferr, Metal. Soc. 25, 129–136 (2015)
Y.Y. Cao, N. Takeyasu, T. Tanaka, X.M. Duan, S. Kawata, Small 5, 1144–1148 (2009)
Acknowledgements
This work is supported by National Natural Science Foundation of China (No. 12002223); the Graduate Scientific Research and Innovation Foundation of Chongqing (No. CYB21027).
Author information
Authors and Affiliations
Contributions
PD: Methodology, Formal analysis, Writing–original draft. XZ: Funding acquisition, Formal analysis. YM: Writing—review & editing. YH: Visualization. Y: Validation. WL: Supervision, Funding acquisition. ZZ: Supervision.
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Dong, P., Zhang, X., Ma, Y. et al. Modeling Investigations and Analysis of Temperature Dependent Yield Strength of Oxide Dispersion Strengthened Superalloys Considering the Effect of Dislocations Climbing and Particles Growth. Met. Mater. Int. 30, 1041–1054 (2024). https://doi.org/10.1007/s12540-023-01555-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12540-023-01555-y