journal article·2025-10Open access

Review: developments in the creep of materials over a period of more than a century

Terence G. Langdon

Journal of Materials Science· Volume 60· Issue 39

Abstract

Abstract Studies of creep may be traced back for more than 100 years and this extensive experimentation has produced a comprehensive understanding of the various flow mechanisms occurring in the steady-state or secondary stage of creep. These mechanisms range from diffusional creep and Harper-Dorn creep at low stresses to dislocation processes such as glide and climb at higher stresses and to grain boundary sliding where the rate is dependent primarily upon the grain size. This review examines the nature and characteristics of these flow processes and then demonstrates that the theoretical predictions are generally in good agreement with the experimental data. Finally, two examples are presented, in the fields of structural engineering and glaciology, to illustrate the potential for making significant new contributions to the understanding of the creep processes. Graphical abstract
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Research context

OpenAlex topics: High Temperature Alloys and Creep · Landslides and related hazards · Composite Material Mechanics

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References (100+)

Show source-provided references
1. Langdon TG (2020) A lifetime of research in creep, superplasticity, and ultrafine grained materials. Adv Eng Mater 22:190044210.1002/adem.201900442 ↗
2. Trouton FT, Rankine AO (1904) On the stretching and torsion of lead wires beyond the elastic limit. Phil Mag 8:538–55610.1080/14786440409463222 ↗
3. Phillips P (1905) The slow stretch in Indiarubber, glass, and metal wires when subjected to a constant pull. Proc Phys Soc 19:491–511
4. Andrade ENdaC (1910) On the viscous flow in metals and allied phenomena. Proc Roy Soc A 84:1–12
5. Andrade ENdaC (1914) The flow in metals under large constant stresses. Proc Roy Soc 90:329–342
6. Andrade ENdaC (1962) The validity of the t1/3 law of flow of metals. Phil Mag 7:2003–201410.1080/14786436208214469 ↗
7. Nabarro FRN (1997) Thermal activation and Andrade creep. Phil Mag Lett 75:227–23310.1080/095008397179651 ↗
8. Louchet F, Duval P (2009) Andrade creep revisited. Int J Mater Res 100:1433–143910.3139/146.110189 ↗
9. Langdon TG (1982) The mechanical properties of superplastic materials. Metall Trans A 13A:689–70110.1007/BF02642383 ↗
10. Langdon TG (2005) Identifying creep mechanisms in plastic flow. Z Metallkd 96:522–63110.3139/146.101066 ↗
11. Weertman J (1955) Theory of steady-state creep based on dislocation climb. J Appl Phys 26:1213–121710.1063/1.1721875 ↗
12. Weertman J (1957) Steady-state creep of crystals. J Appl Phys 28:1185–118910.1063/1.1722604 ↗
13. Yavari P, Mohamed FA, Langdon TG (1981) Creep and substructure formation in an Al-5% Mg solid solution alloy. Acta Metall 29:1495–150710.1016/0001-6160(81)90184-X ↗
14. Harper J, Dorn JE (1957) Viscous creep of aluminum near its melting temperature. Acta Metall 5:654–66510.1016/0001-6160(57)90112-8 ↗
15. Yavari P, Langdon TG (1977) The transition from Nabarro-Herring to Harper-Dorn creep at low stress levels. Scr Metall 11:863–86610.1016/0036-9748(77)90339-8 ↗
16. Langdon TG (1983) On the possibility of Harper-Dorn creep in non-metallic crystals. Phil Mag A 47:L29–L3310.1080/01418618308243115 ↗
17. Langdon TG (2002) Creep at low stresses: an evaluation of diffusion creep and Harper-Dorn creep as viable creep mechanisms. Met Mater Trans 33A:249–25910.1007/s11661-002-0087-4 ↗
18. Kumar P, Kassner ME, Langdon TG (2007) Fifty years of Harper-Dorn creep: a viable creep mechanism or a Californian artifact? J Mater Sci 42:409–420 https://doi.org/10.1007/s10853-006-0782-410.1007/s10853-006-0782-4 ↗
19. Kassner ME, Kumar P, Blum W (2007) Harper-Dorn creep. Int J Plast 23:980–100010.1016/j.ijplas.2006.10.006 ↗
20. Kumar P, Kassner ME, Langdon TG (2008) The role of Harper-Dorn creep at high temperatures and very low stresses. J Mater Sci 43:4801–4810 https://doi.org/10.1007/s10853-008-2680-410.1007/s10853-008-2680-4 ↗
21. Kumar P, Kassner ME (2009) Theory for very low stress (“Harper-Dorn”) creep. Scr Mater 60:60–6310.1016/j.scriptamat.2008.08.033 ↗
22. Ardell AJ (2013) Harper-Dorn creep—the dislocation network theory revisited. Scr Mater 69:541–54410.1016/j.scriptamat.2013.06.022 ↗
23. Kassner ME (2020) New developments in understanding Harper-Dorn, power-law creep and power-law breakdown. Metals 10:128410.3390/met10101284 ↗
24. Nabarro FRN (1948) Deformation of crystals by the motion of single ions. In: Report of a conference on strength of solids, The Physical Society, London, UK pp 75–90
25. Herring C (1950) Diffusional viscosity of a polycrystalline solid. J Appl Phys 21:437–44510.1063/1.1699681 ↗
26. Mohamed FA, Langdon TG (1974) The transition from dislocation climb to viscous glide in creep of solid solution alloys. Acta Metall 22:779–78810.1016/0001-6160(74)90088-1 ↗
27. Yavari P, Langdon TG (1982) An examination of the breakdown in creep by viscous glide in solid solution alloys at high stress levels. Acta Metall 30:2181–219610.1016/0001-6160(82)90139-0 ↗
28. Horiuchi R, Otsuka M (1972) Mechanism of high temperature creep of aluminum-magnesium solid solution alloys. Trans JIM 13:284–29310.2320/matertrans1960.13.284 ↗
29. Weertman J (1960) Creep of indium, lead, and some of their alloys with various metals. Trans AIME 218:207–218
30. Langdon TG (1996) Transitions in creep behavior. Mater Trans JIM 37:359–36210.2320/matertrans1989.37.359 ↗
31. Horita Z, Langdon TG (1985) High temperature creep of Al-Mg alloys. In: McQueen HJ, Baïllon J-P, Dickson JL, Jonas JJ, Akben MG (eds) Strength of metals and alloys (ICSMA 7). Pergamon Press, Oxford, vol. 1, pp 797–80210.1016/B978-0-08-031642-0.50139-2 ↗
32. Langdon TG (1996) A method of distinguishing between diffusion creep and Harper-Dorn creep at low stress levels. Scr Mater 35:733–73710.1016/1359-6462(96)00219-9 ↗
33. Coble RL (1963) A model for boundary diffusion controlled creep in polycrystalline materials. J Appl Phys 34:1679–168210.1063/1.1702656 ↗
34. Langdon TG (2009) Seventy-five years of superplasticity: historic developments and new opportunities. J Mater Sci 44:5998–6010 https://doi.org/10.1007/s10853-009-3780-510.1007/s10853-009-3780-5 ↗
35. Ishikawa H, Mohamed FA, Langdon TG (1975) The influence of strain rate on ductility in the superplastic Zn-22% Al eutectoid alloy. Phil Mag 32:1269–127110.1080/14786437508228105 ↗
36. Mohamed FA, Ahmed MMI, Langdon TG (1977) Factors influencing ductility in the superplastic Zn-22 Pct Al Eutectoid. Metall Trans A 8A:933–93810.1007/BF02661575 ↗
37. Ashby MF (1972) A first report on deformation-mechanism maps. Acta Metall 20:887–89710.1016/0001-6160(72)90082-X ↗
38. Mohamed FA, Langdon TG (1974) Deformation mechanism maps based on grain size. Metall Trans 5:2339–234510.1007/BF02644014 ↗
39. Mohamed FA, Langdon TG (1976) Deformation mechanism maps for superplastic materials. Scr Metall 10:759–76210.1016/0036-9748(76)90358-6 ↗
40. Bird JE, Mukherjee AK, Dorn JE (1959) Correlations between high-temperature creep behavior and structure. In: Brandon DG, Rosen A (eds) Quantitative relation between properties and microstructure. Israel Universities Press, Jerusalem, pp 255–342
41. Raj SV, Pharr GM (1986) A compilation and analysis of data for the stress dependence of the subgrain size. Mater Sci Eng 81:217–23710.1016/0025-5416(86)90265-X ↗
42. Cannon WR, Langdon TG (1988) Review: creep of ceramics—Part 2 an examination of flow mechanisms. J Mater Sci 23:1–20 https://doi.org/10.1007/BF0117402810.1007/BF01174028 ↗
43. Twiss RJ (1977) Theory and applicability of a recrystallized grain size paleopiezometer. Pageoph 115:227–24410.1007/BF01637105 ↗
44. Toriumi M (1979) Relation between dislocation density and subgrain size of naturally deformed olivine in peridotites. Contrib Mineral Petrol 68:181–18610.1007/BF00371899 ↗
45. White S (1979) Grain and sub-grain size variations across a mylonite zone. Contrib Mineral Petrol 70:193–20210.1007/BF00374448 ↗
46. Goddard RM, Hansen LN, Wallis D, Stipp M, Holyoke CW, Kumamoto KM, Kohlstedt DL (2020) A subgrain-size piezometer calibrated for EBSD. Geophys Res Lett 47:e2020GL09005610.1029/2020GL090056 ↗
47. Langdon TG (1991) The physics of superplastic deformation. Mater Sci Eng A137:1–1110.1016/0921-5093(91)90312-B ↗
48. Langdon TG (1994) An evaluation of the strain contributed by grain boundary sliding in superplasticity. Mater Sci Eng 174A:225–23010.1016/0921-5093(94)91092-8 ↗
49. Hensler JH, Cullen GV (1967) Grain shape change during creep in magnesium oxide. J Am Ceram Soc 50:584–58510.1111/j.1151-2916.1967.tb15003.x ↗
50. Tokar M (1973) Compressive creep and hot hardness of U-Pu carbides. J Am Ceram Soc 56:173–17710.1111/j.1151-2916.1973.tb12448.x ↗
51. Langdon TG, Bell RL (1968) Use of grain shape measurements in studies of high-temperature creep. Trans AIME 239:2479–2484
52. Bell RL, Langdon TG (1967) An investigation of grain-boundary sliding during creep. J Mater Sci 2:313–323 https://doi.org/10.1007/BF0057241410.1007/BF00572414 ↗
53. Langdon TG (1993) The role of grain boundaries in high temperature deformation. Mater Sci Eng A166:67–7910.1016/0921-5093(93)90311-2 ↗
54. Langdon TG (1970) Grain boundary sliding as a deformation mechanism during creep. Phil Mag 22:689–70010.1080/14786437008220939 ↗
55. Langdon TG (1994) A unified approach to grain boundary sliding in creep and superplasticity. Acta Metall Mater 42:2437–244310.1016/0956-7151(94)90322-0 ↗
56. Figueiredo RB, Langdon TG (2021) Deformation mechanisms in ultrafine-grained metals with an emphasis on the Hall-Petch relationship and strain rate sensitivity. J Mater Res Tech 14:137–15910.1016/j.jmrt.2021.06.016 ↗
57. Figueiredo RB, Kawasaki M, Langdon TG (2023) Seventy years of Hall-Petch, ninety years of superplasticity and a generalized approach to the effect of grain size on flow stress. Prog Mater Sci 137:10113110.1016/j.pmatsci.2023.101131 ↗
58. Figueiredo RB, Kawasaki M, Langdon TG (2024) The role of grain size in achieving excellent properties in structural materials. J Mater Res Tech 30:3448–346210.1016/j.jmrt.2024.04.059 ↗
59. Langdon TG (2006) Grain boundary sliding revisited: Developments in sliding over four decades. J Mater Sci 41:597–609 https://doi.org/10.1007/s10853-006-6476-010.1007/s10853-006-6476-0 ↗
60. Valiev RZ, Kaibyshev OA, Kuznetsov RI, Musalimov RSh, Tsenev NK (1988) Low-temperature superplasticity of metallic materials. Dokl Akad Nauk SSSR 301:864–866
61. Valiev RZ, Islamgaliev RK, Alexandrov IV (2000) Bulk nanostructured materials from severe plastic deformation. Prog Mater Sci 45:103–18910.1016/S0079-6425(99)00007-9 ↗
62. Langdon TG (2013) Twenty-five years of ultrafine-grained materials: achieving exceptional properties through grain refinement. Acta Mater 61:7035–705910.1016/j.actamat.2013.08.018 ↗
63. Estrin Y, Vinogradov A (2013) Extreme grain refinement by severe plastic deformation: a wealth of challenging science. Acta Mater 61:782–81710.1016/j.actamat.2012.10.038 ↗
64. Horita Z, Edalati K (2020) Severe plastic deformation for nanostructure controls. Mater Trans 61:2241–224710.2320/matertrans.MT-M2020134 ↗
65. Valiev RZ, Langdon TG (2006) Principles of equal-channel angular pressing as a processing tool for grain refinement. Prog Mater Sci 51:881–98110.1016/j.pmatsci.2006.02.003 ↗
66. Zhilyaev AP, Langdon TG (2008) Using high-pressure torsion for metal processing: fundamentals and applications. Prog Mater Sci 53:893–97910.1016/j.pmatsci.2008.03.002 ↗
67. Valiev RZ, Straumal B, Langdon TG (2022) Using severe plastic deformation to produce nanostructured materials with superior properties. Ann Rev Mater Res 52:357–38210.1146/annurev-matsci-081720-123248 ↗
68. Edalati K, Bachmaier A, Beloshenko VA, Beygelzimer Y, Blank VD, Botta WJ, Bryła K, Čížek J, Divinski S, Enikeev NA et al (2022) Nanomaterials by severe plastic deformation: review of historical developments and recent advances. Mater Res Lett 10:163–25610.1080/21663831.2022.2029779 ↗
69. Edalati K, Ahmed AQ, Akrami S, Ameyama K, Aptukov V, Asfandiyarov RN, Ashida M, Astanin V, Bachmaier A, Beloshenko V et al (2024) Severe plastic deformation for producing superfunctional ultrafine-grained and heterostructured materials: an interdisciplinary review. J Alloys Compds 1002:17466710.1016/j.jallcom.2024.174667 ↗
70. Edalati K (2024) Severe plastic deformation of light metals (magnesium, aluminum and titanium) and alloys by high-pressure torsion: review of fundamentals and mechanical/functional properties. Mater Trans 65:466–48010.2320/matertrans.MT-L2023022 ↗
71. Edalati K, Hidalgo-Jiménez J, Nguyen TT, Enikeev N, Levitas VI, Horita Z, Valiev RZ, Langdon TG (2025) Severe plastic deformation of ceramics by high-pressure torsion: review of principles and applications. Ann Rev Mater Res. https://doi.org/10.1146/annurev-matsci-080423-12270110.1146/annurev-matsci-080423-122701 ↗
72. Sklenicka V, Dvorak J, Kvapilova M, Svoboda M, Kral P, Saxl I, Horita Z (2007) Effect of equal-channel angular pressing (ECAP) on creep of aluminium alloys. Mater Sci Forum 539–543:2904–290910.4028/www.scientific.net/MSF.539-543.2904 ↗
73. Kawasaki M, Langdon TG (2010) Characteristics of high temperature creep in pure aluminum processed by equal-channel angular pressing. Mater Sci Forum 638–642:1965–197010.4028/www.scientific.net/MSF.638-642.1965 ↗
74. Langdon TG, Mohamed FA (1978) A simple method of constructing an Ashby-type deformation mechanism map. J Mater Sci 13:1282–1290 https://doi.org/10.1007/BF0054473510.1007/BF00544735 ↗
75. Kawasaki M, Sklenička V, Langdon TG (2010) An evaluation of creep behavior in ultrafine-grained aluminum alloys processed by ECAP. J Mater Sci 45:271–274 https://doi.org/10.1007/s10853-009-3975-910.1007/s10853-009-3975-9 ↗
76. Komura S, Horita Z, Furukawa M, Nemoto M, Langdon TG (2001) An evaluation of the flow behavior during high strain rate superplasticity in an Al-Mg-Sc alloy. Metall Mater Trans A 32A:707–716
77. Sklenicka V, Dvorak J, Svoboda M, Kral P, Kvapilova M, Horita Z (2006) Compressive creep in an Al-3% Mg-0.2% Sc alloy processed by equal-channel angular pressing. In: Ultrafine Grained Materials IV, Zhu YT, Langdon TG, Horita Z, Zehetbauer MJ, Semiatin SL, Lowe TC (eds) The Minerals, Metals and Materials Society, Warrendale, PA, pp 459–464
78. Sklenička V, Dvořák J, Král P, Svoboda M, Saxl I (2009) Some factors affecting the creep behaviour of metallic materials processed by equal-channel angular pressing. Int J Mater Res 100:762–76610.3139/146.110094 ↗
79. Shahmir H, Mehranpour MS, Kawasaki M, Langdon TG (2023) Superplasticity in severely deformed high-entropy alloys. Mater Trans 64:1526–153610.2320/matertrans.MT-MF2022008 ↗
80. Shaysultanov DG, Stepanov ND, Kuznetsov AV, Salishchev GA, Senkov ON (2013) Phase composition and superplastic behavior of a wrought AlCoCrCuFeNi high-entropy alloy. JOM 65:1815–182810.1007/s11837-013-0754-5 ↗
81. Kuznetsov AV, Shaisultanov DG, Stepanov N, Salishchev GA, Senkov ON (2013) Superplasticity of AlCoCrCuFeNi high entropy alloy. Mater Sci Forum 735:146–15110.4028/www.scientific.net/MSF.735.146 ↗
82. Stepanov N, Shaysultanov DG, Salishchev GA, Senkov ON (2016) Mechanical behavior and microstructure evolution during superplastic deformation of the fine-grained AlCoCrCuFeNi high entropy alloy. Mater Sci Forum 838–839:302–30710.4028/www.scientific.net/MSF.838-839.302 ↗
83. Reddy SR, Bapari S, Bhattacharjee PP, Chokshi AH (2017) Superplastic-like flow in a fine-grained equiatomic CoCrFeMnNi high-entropy alloy. Mater Res Lett 5:408–41410.1080/21663831.2017.1305460 ↗
84. Shahmir H, He JY, Lu ZP, Kawasaki M, Langdon TG (2017) Evidence for superplasticity in a CoCrFeNiMn high-entropy alloy processed by high-pressure torsion. Mater Sci Eng 685A:342–34810.1016/j.msea.2017.01.016 ↗
85. Shahmir H, Nili-Ahmadabadi M, Shafiee A, Langdon TG (2018) Effect of a minor titanium addition on the superplastic properties of a CoCrFeNiMn high-entropy alloy processed by high-pressure torsion. Mater Sci Eng 718A:468–47610.1016/j.msea.2018.02.002 ↗
86. Nguyen NTC, Moon J, Sathiyamoorthi P, Asghari-Rad P, Kim GH, Lee CS, Kim HS (2019) Superplasticity of V10Cr15Mn5Fe35Co10Ni25 high-entropy alloy processed using high-pressure torsion. Mater Sci Eng 764A:13819810.1016/j.msea.2019.138198 ↗
87. Nguyen NTC, Asghari-Rad P, Sathiyamoorthi P, Zargaran A, Lee CS, Kim HS (2020) Ultrahigh high-strain-rate superplasticity in a nanostructured high-entropy alloy. Nat Commun 11:273610.1038/s41467-020-16601-1 ↗
88. Jeong HT, Kim WJ (2021) Calculation and construction of deformation mechanism maps and processing maps for CoCrFeMnNi and Al0.5CoCrFeMnNi high-entropy alloys. J Alloys Compd 869:15925610.1016/j.jallcom.2021.159256 ↗
89. Nguyen NT-C, Asghari-Rad P, Bae JW, Sathiyamoorthi P, Kim HS (2021) Superplastic behavior in high-pressure torsion-processed Mo7.5Fe55Co18Cr12.5Ni7 medium-entropy alloy. Metall Mater Trans A 52A:1–710.1007/s11661-020-06033-3 ↗
90. Asghari-Rad P, Nguyen NT-C, Zargaran A, Sathiyamoorthi P, Kim HS (2022) Deformation-induced grain boundary segregation mediated high-strain rate superplasticity in medium entropy alloy. Scr Mater 207:11423910.1016/j.scriptamat.2021.114239 ↗
91. Shahmir H, Mehranpour MS, Shams SAA, Langdon TG (2023) Twenty years of the CoCrFeNiMn high-entropy alloy: achieving exceptional mechanical properties through microstructure engineering. J Mater Res Tech 23:3362–342310.1016/j.jmrt.2023.01.181 ↗
92. Kassner ME, Pérez-Prado M-T (2000) Five-power-law creep in single phase metals and alloys. Prog Mater Sci 45:1–10210.1016/S0079-6425(99)00006-7 ↗
93. Kassner ME (2009) Fundamentals of creep in metals and alloys. Elsevier, Amsterdam
94. Cannon WR, Langdon TG (1983) Review: creep of ceramics—part 1 mechanical properties. J Mater Sci 18:1–50 https://doi.org/10.1007/BF0054380810.1007/BF00543808 ↗
95. Langdon TG (1999) Creep behavior of ceramics and geological materials at low stress levels. Key Eng Mater 166:81–8610.4028/www.scientific.net/KEM.166.81 ↗
96. National Academies of Sciences, Engineering and Medicine (2024) Failure analysis of the Arecibo observatory 305-meter telescope collapse. The National Academies Press, Washington, DC, USA. https://doi.org/10.17226/2698210.17226/26982 ↗
97. Frost HJ, Ashby MF (1982) Deformation-mechanism maps: the plasticity and creep of metals and ceramics. Pergamon Press, Oxford
98. Weertman J (1973) Creep of ice. In: Whalley E, Jones SJ, Gold LW (eds) Physics and chemistry of ice. Royal Society of Canada, Ottawa, pp 320–337
99. Glen JW (1952) Experiments on the deformation of ice. J Glaciol 2:111–11410.3189/S0022143000034067 ↗
100. Glen JW (1955) The creep of polycrystalline ice. Proc Roy Soc A 228:519–538