A universal function of creep rate

doi:10.1088/1674-1056/24/9/093401

Abstract

In this paper, we derive a universal function from a model based on statistical mechanics developed recently, and show that the function is well fitted to all the available experimental data which cannot be described by any function previously established. With the function predicting creep rate, it is unnecessary to consider which creep mechanism dominates the process, but only perform several experiments to determine the three constants in the function. It is expected that the new function would be widely used in industry in the future.

Keywords: creep statistical mechanics metal and alloys

Received: 04 January 2015
Revised: 04 May 2015
Accepted manuscript online:

PACS:	34.20.Cf	(Interatomic potentials and forces)
	62.20.Hg	(Creep)
	81.05.Bx	(Metals, semimetals, and alloys)

Fund:

Project supported by the National Natural Science Foundation of China (Grant Nos. 11274073 and 51071048), the Shanghai Leading Academic Discipline Project, China (Grant No. B107), and the Key Discipline Innovative Training Program of Fudan University, China.

Corresponding Authors: Ning Xi-Jing
E-mail: xjning@fudan.edu.cn

Cite this article:

Li Jing-Tian (李菁田), Rong Xi-Ming (荣曦明), Wang Jian-Lu (王建录), Zhang Bang-Qiang (张邦强), Ning Xi-Jing (宁西京) A universal function of creep rate 2015 Chin. Phys. B 24 093401

[1]	Babitsky V I and Wittenburg J 2007 Modeling of Creep for Structural Analysis (Berlin: Springer)
[2]	Penny R K and Mariott D L 1995 Design for Creep (London: Chapman & Hall)
[3]	Evans R W and Wilshire B 1985 Creep of Metals and Alloys (London: Institute of Materials)
[4]	Wilshire B and Scharning P J 2007 Scripta Mater. 56 701
[5]	Wilshire B and Scharning P J 2008 Int. Mater. Rev. 53 91
[6]	Guo J T, Zhang S Z, Yuan C, Zhou W L and Li G S 2003 J. Aeronautical Mater. Suppl. 23 34
[7]	Kral P, Dvorak J, Zherebtsov S, Salishchev G, Kvapilova M and Sklenicka V 2013 J. Mater. Sci. 48 4789
[8]	Gu Y, Zeng F H, Qi Y L, Xia C Q and Xiong X 2013 Mater. Sci. Eng. A 575 74
[9]	Zhu S M, Easton M A, Gibson M A, Dargusch M S and Nie J F 2013 Mater. Sci. Eng. A 578 377
[10]	Wilshire B and Battenbough A J 2007 Mater. Sci. Eng. A 443 156
[11]	Abdallah Z, Whittaker M T and Bache M R 2013 Intermetallics 38 55
[12]	Xie J, Tian S G and Zhou X M 2013 JMEPEG 22 2048
[13]	Norton F H 1929 The Creep of Steel at High Temperature (London: McGraw-Hill)
[14]	McVetty P G 1943 Trans. ASME 65 761
[15]	Garofalo F 1965 Fundamentals of Creep and Creep Rupture in Metals (New York: MacMillan)
[16]	Dorn J E 1955 J. Mech. Phys. Solids 3 85
[17]	Grant N J and Mullendore A W 1965 Deformation and Fracture at Elevated Temperatures (Boston: MIT Press)
[18]	Larson F R and Miller J 1952 Trans. ASME 74 765
[19]	Kassner M E and Perez-Prado M T 2004 Fundamentals of Creep in Metals and Alloys (Amsterdam: Elsevier)
[20]	Maruyama K, Armaki H G and Yoshimi K 2007 J. Pressure Vessels Piping 84 171
[21]	Nie M, Zhang J, Huang F, Liu J W, Zhu X K, Chen Z L and Ouyang L Z 2014 J. Alloys Compd. 588 348
[22]	Brunnera M, Huttner R, Bolitz M, Volkl R, Mukherji D, Rosler J, Depka T, Somsen C, Eggeler G and Glatzel U 2010 Mater. Sci. Eng. A 528 650
[23]	Shrestha T, Basirat M, Charit I, Potirniche G P and Rink K K 2013 Mater. Sci. Eng. A 565 382
[24]	Terada Y, Murata Y, Sato T and Morinaga M 2011 Mater. Chem. Phys. 128 32
[25]	Terada Y, Murata Y and Sato T 2013 Mater. Sci. Eng. A 584 63
[26]	Maruyama K and Yoshimi K 2007 ASME 2007 Pressure Vessels and Piping Conference 9 631
[27]	Tamura M, Abe F, Shiba K, Sakasegawa H and Tanigawa H 2013 Metall. Mater. Trans. A 44 2013
[28]	Wilshire B, Scharning P J and Hurst R 2009 Mater. Sci. Eng. A 510-511 3
[29]	Ennis P J, Shibli I A, Holdsworth S R and Merckling G 2005 Creep and Fracture in High Temperature Components-Design and Life Assessment Issues (Lancaster: DEStech Publications)
[30]	Guo J T 2008 Materials Science and Engineering for Superalloys (Beijing: Science press)
[31]	Spingarelli S, Ruano O A, Mehtedi M E and del Valle J A 2013 Mater. Sci. Eng. A 570 135
[32]	Lin Z Z, Yu W F, Wang Y and Ning X J 2011 Europhys. Lett. 94 40002
[33]	Lin Z Z and Ning X J 2011 Europhys. Lett. 95 47012
[34]	Lin Z Z, Zhuang J and Ning X J 2012 Europhys. Lett. 97 27006
[35]	Ming C, Lin Z Z, Cao R G, Yu W F and Ning X J 2012 Carbon 50 2651
[36]	Lin Z Z, Li W Y and Ning X J 2014 Chin. Phys. B 23 050501
[37]	Yu W F, Lin Z Z and Ning X J 2013 Phys. Rev. E 87 062311
[38]	Yu W F, Lin Z Z and Ning X J 2013 Chin. Phys. B 22 116802
[39]	Zhang G Y, Guo J T and Zhang H 2006 The Chinese Journal of Nonferrous Metals 16 1883
[40]	Gu Y F, Cui C, Ping D, Harada H, Fukuda T and Fujioka J 2009 Mater. Sci. Eng. A 510-511 250
[41]	Vakili-Tahami F, Sajjadpour M and Attari P 2011 Strain 47 414
[42]	Bressers J 1981 Creep and Fatigue in High Temperature Alloys (London: Applied Science Publishers LTD)
[43]	Seitz F 1950 Phys. Rev. 79 890
[44]	Dash W C 1958 J. Appl. Phys. 29 705
[45]	Guo J T, Ranucci D, Picco E and Strocchi M 1983 Metall. Trans. A 14 2329
[46]	Tobolová Z and Čadek J 1979 Phil. Mag. 26 1419

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