Abstract
Particle-reinforced metal matrix nanocomposites (MMNCs) have been lauded for their potentially superior mechanical properties such as modulus, yield strength, and ultimate tensile strength. Though these materials have been synthesized using several modern solid- or liquid-phase processes, the relationships between material types, contents, processing conditions, and the resultant mechanical properties are not well understood. In this paper, we examine the yield strength of particle-reinforced MMNCs by considering individual strengthening mechanism candidates and yield strength prediction models. We first introduce several strengthening mechanisms that can account for increase in the yield strength in MMNC materials, and address the features of currently available yield strength superposition methods. We then apply these prediction models to the existing dataset of magnesium MMNCs. Through a series of quantitative analyses, it is demonstrated that grain refinement plays a significant role in determining the overall yield strength of most of the MMNCs developed to date. Also, it is found that the incorporation of the coefficient of thermal expansion mismatch and modulus mismatch strengthening mechanisms will considerably overestimate the experimental yield strength. Finally, it is shown that work-hardening during post-processing of MMNCs employed by many researchers is in part responsible for improvement to the yield strength of these materials.
Similar content being viewed by others
References
Ye J, Han BQ, Lee Z, Ahn B, Nutt SR, Schoenung JM (2005) Scr Mater 53:481. doi:10.1016/j.scriptamat.2005.05.004
Tang F, Hagiwara M, Schoenung JM (2005) Scr Mater 53:619. doi:10.1016/j.scriptamat.2005.05.034
Li Y, Zhao YH, Ortalan V, Liu W, Zhang ZH, Vogt RG, Browning ND, Lavernia EJ, Schoenung JM (2009) Mater Sci Eng A 527:305. doi:10.1016/j.msea.2009.07.067
Li Y, Lin YJ, Xiong YH, Schoenung JM, Lavernia EJ (2011) Scr Mater 64:133. doi:10.1016/j.scriptamat.2010.09.027
Hassan SF, Gupta M (2004) Mater Sci Technol 20:1383. doi:10.1179/026708304X3980
Tun KS, Gupta M (2008) J Mater Sci 43:4503. doi:10.1007/s10853-008-2649-3
Hassan SF, Tan MJ, Gupta M (2008) Mater Sci Eng A 486:56. doi:10.1016/j.msea.2007.08.045
Paramsothy M, Hassan SF, Srikanth N, Gupta M (2009) Mater Sci Eng A 527:162. doi:10.1016/j.msea.2009.07.054
Yang Y, Lan J, Li X (2004) Mater Sci Eng A 380(2004):378. doi:10.1016/j.msea.2004.03.073
Cao G, Kobliska J, Konishi H, Li X (2008) Metall Mater Trans A 39A:880. doi:10.1007/s11661-007-9453-6
Dutkiewicz J, Litynska L, Maziarz W, Haberko K, Pyda W, Kanciruk A (2009) Cryst Res Technol 44:1163. doi:10.1002/crat.200900455
Ahn JH, Kim YJ, Chung H (2008) Rev Adv Mater Sci 18:329
Mohammad Sharifi E, Karimzadeh F, Enayati MH (2011) Mater Des 32:3263. doi:10.1016/j.matdes.2011.02.033
Mazahery A, Abdizadeh H, Baharvandi HR (2009) Mater Sci Eng A 518:61. doi:10.1016/j.msea.2009.04.014
Yao B, Hofmeister C, Patterson T, Sohn YH, Van den Bergh M, Delahanty T, Cho K (2010) Compos A 41:933. doi:10.1016/j.compositesa.2010.02.013
Schultz BF, Ferguson JB, Rohatgi PK (2011) Mater Sci Eng A 530:87. doi:10.1016/j.msea.2011.09.042
Ferguson JB, Sheykh-Jaberi F, Kim CS, Rohatgi PK, Cho K (2012) Mater Sci Eng 558:193. doi:10.1016/j.msea.2012.07.111
Mallick A, Vedantam S, Lu L (2009) Mater Sci Eng A 515:14. doi:10.1016/j.msea.2009.03.002
Wang YN, Huang JC (2007) Mater Trans 48:184. doi:10.2320/matertrans.48.184
Mann G, Griffiths JR, Caceres CH (2004) J Alloys Compd 378:188. doi:10.1016/j.jallcom.2003.12.052
Ono N, Nowak R, Miura S (2003) Mater Lett 58:39. doi:10.1016/S0167-577X(03)00410-5
Wang HY, Xue ES, Xiao W, Liu Z, Li JB, Jiang QC (2011) Mater Sci Eng A 528:8790. doi:10.1016/j.msea.2011.07.052
Andersson P, Caceres CH, Koike J (2003) Mater Sci Forum 419–422:123. doi:10.4028/www.scientific.net/MSF.419-422.123
Yuan W, Panigrahi SK, Su JQ, Mishra RS (2011) Scr Mater 65:994. doi:10.1016/j.scriptamat.2011.08.028
Kim HK (2009) Mater Sci Eng 515:66. doi:10.1016/j.msea.2009.02.039
Afrin N, Chen DL, Cao X, Jahazi M (2008) Mater Sci Eng A 472:179. doi:10.1016/j.msea.2007.03.018
Han BQ, Dunand DC (2000) Mater Sci Eng A 227:297. doi:10.1016/S0921-5093(99)00074-X
Bohlen J, Dobron P, Meza Garcia E, Chmelik F, Lukac P, Letzig D, Kainer KU (2005) Adv Eng Mater 8:422. doi:10.1016/j.msea.2006.02.469
Elsayed A, Kondoh K, Imai H, Umeda J (2010) Mater Des 31:2444. doi:10.1016/j.matdes.2009.11.054
Hagihara K, Kinoshita A, Sugino Y, Yamasaki M, Kawamura Y, Yasuda HY, Umakoshi Y (2010) Acta Mater 58:6282. doi:10.1016/j.actamat.2010.07.050
Zener C, quoted by Smith CS (1948) Trans AIME 175:15
Szaraz Z, Trojanova Z, Cabbibo M, Evangelista E (2007) Mater Sci Eng A 462:225. doi:10.1016/j.msea.2006.01.182
Habibnejad-Korayem M, Mahmudi R, Poole WJ (2009) Mater Sci Eng A 519:198. doi:10.1016/j.msea.2009.05.001
Zhang Z, Yu H, Wang S, Wang H, Min G (2010) J Mater Sci Technol 26:151. doi:10.1016/S1005-0302(10)60025-4
Nguyen QB, Gupta M (2008) Compos Sci Technol 68:2185. doi:10.1016/j.compscitech.2008.04.020
Miller WS, Humphreys FJ (1991) Scr Metall 25:33. doi:10.1016/0956-716X(91)90349-6
Ashby MF (1968) The theory of the critical shear stress and work hardening of dispersion-hardened crystals. In: Proceeding of second Bolton landing conference on oxide dispersion strengthening. Gordon and Breach, Science Publishers, Inc., New York, p 143
Sun Y, Choi H, Konishi H, Pikhovich V, Hathaway R, Chen L, Li X (2012) Mater Sci Eng A 546:284. doi:10.1016/j.msea.2012.03.070
Goh CS, Wei J, Lee LC, Gupta M (2007) Acta Mater 55:5115. doi:10.1016/j.actamat.2007.05.032032
Robson JD, Stanford N, Barnett MR (2010) Scr Mater 63:23. doi:10.1016/j.scriptamat.2010.06.026
Rosalie JM, Somekawa H, Singh A, Mukai T (2012) Mater Sci Eng A 539:230. doi:10.1016/j.msea.2012.01.087
Zeng X, Zou H, Zhai C, Ding W (2006) Mater Sci Eng A 424:40. doi:10.1016/j.msea.2006.02.021
Ferguson JB, Lopez H, Kongshaug D, Schultz B, Rohatgi P (2012) Metall Mater Trans A 43:2110. doi:10.1007/s11661-011-1029-9
Dai LH, Ling Z, Bai YL (2001) Compos Sci Technol 61:1057. doi:10.1016/S0266-3538(00)00235-9
Vogt R, Zhang Z, Li Y, Bonds M, Browning ND, Lavernia EJ, Schoenung JM (2009) Scr Mater 61:1052. doi:10.1016/j.scriptamat.2009.08.025
Redsten AM, Klier EM, Brown AM, Dunand DC (1995) Mater Sci Eng A 201:88. doi:10.1016/0921-5093(94)09741-0
Nardone VC (1987) Scr Metall 21:1313. doi:10.1016/0036-9748(87)90105-0
Nardone VC, Prewo KM (1986) Scr Metall 20:43. doi:10.1016/0036-9748(86)90210-3
Ramakrishnan N (1996) Acta Metall 44:69. doi:10.1016/1359-6454(95)00150-9
Kocks UF, Argon AS, Ashby MF (1975) Prog Mater Sci 19:224
Ebeling R, Ashby MF (1966) Phil Mag 13:805
Lagerpusch U, Mohles V, Baither D, Anczykowski B, Nembach E (2000) Acta Mater 48:3647. doi:10.1016/S1359-6454(00)00172-5
Chawla N, Andres C, Jones JW, Allison JE (1998) Metall Mater Trans A29:2843. doi:10.1007/s11661-998-0325-5
Chawla N, Habel U, Shen YL et al (2000) Metall Mater Trans A31:531. doi:10.1007/s11661-000-0288-7
Chawla N, Shen YL (2001) Adv Eng Mater 3:357. doi:10.1002/1527-2648(200106)3:6<357:AID-ADEM357>3.3.CO;2-9
Arsenault RJ (1984) Mater Sci Eng 64:171. doi:10.1016/0025-5416(84)90101-0
Clyne TW, Withers PJ (1995) An Introduction to Metal Matrix Composites. Cambridge University Press, Cambridge
Hull D, Clyne TW (1996) An introduction to composite materials. Cambridge University Press, Cambridge
Lilholt H (1985) Deformation of multi-phase and particle containing materials. In: Proceedings of the 4th rise international symposium on metallurgy and materials science, Roskilde, Denmark
Sanaty-Zadeh A (2012) Mater Sci Eng A 531:112. doi:10.1016/j.msea.2011.10.043
Zhang Z, Chen DL (2006) Scr Mater 54:1321. doi:10.1016/j.scriptamat.2005.12.017
Hassan SF, Gupta M (2006) Compos Struct 72:19. doi:10.1016/j.compstruct.2004.10.008
Hassan SF, Gupta M (2008) J Alloy Compd 457:244. doi:10.1016/j.jallcom.2007.03.058
Wong WLE, Karthik S, Gupta M (2005) J Mater Sci 40:3395. doi:10.1007/s10853-005-0419-z
Hassan SF, Gupta M (2005) Mater Sci Eng A 392:163. doi:10.1007/s11661-005-0344-4
Hassan SF, Gupta M (2007) J Alloy Compd 429:176. doi:10.1016/j.jallcom.2006.04.033
Hassan SF (2011) Mater Sci Eng A 528:5484. doi:10.1016/j.msea.2011.03.063
Hassan SF (2006) Creation of new magnesium-based material using different types of reinforcements. Dissertation, National University of Singapore
Hassan SF, Gupta M (2006) Mater Sci Eng A 425:22. doi:10.1016/j.msea.2006.03.029
Tun KS, Gupta M (2007) Compos Sci Technol 67:2657. doi:10.1016/j.compscitech.2007.03.006
Misra A, Hirth JP, Hoagland RG (2005) Acta Mater 53:4817. doi:10.1016/j.actamat.2005.06.025
Wong WLE, Gupta M (2007) Compos Sci Technol 67:1541. doi:10.1016/j.compscitech.2006.07.015
Acknowledgements
This work is primarily supported by the Research Growth Initiative (RGI) Award from University of Wisconsin-Milwaukee (UWM). Partial support from the U.S. Army Research Laboratory (US ARL) under Cooperative Agreement No. W911NF-08-2-0014 is also acknowledged. The views, opinions, and conclusions made in this document are those of the authors and should not be interpreted as representing the official policies, either expressed or implied, of Army Research Laboratory or the U.S. Government. The U.S. Government is authorized to reproduce and distribute reprints for Government purposes notwithstanding any copyright notation herein.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kim, CS., Sohn, I., Nezafati, M. et al. Prediction models for the yield strength of particle-reinforced unimodal pure magnesium (Mg) metal matrix nanocomposites (MMNCs). J Mater Sci 48, 4191–4204 (2013). https://doi.org/10.1007/s10853-013-7232-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10853-013-7232-x