Skip to main content
Top
Published in: Journal of Materials Science 8/2020

09-12-2019 | Computation & theory

Influences of particle fractions on second-phase particles pinning grain coarsening processes

Authors: Zhiqiang Li, Junsheng Wang, Houbing Huang

Published in: Journal of Materials Science | Issue 8/2020

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

A two-dimensional cellular automata model for the second-phase particles pinning grain coarsening process was established based on a grain boundary/particle interaction model. Using this model, the grain coarsening processes for the systems of different volume fractions of the second-phase particles were simulated. The transformation of the grain coarsening mechanisms for low and high volume fractions of particles were numerically simulated for the first time. The reasons for this transformation were revealed by analyzing the interactions between the grain boundary and the second-phase particles in detail. To quantitatively describe the influences of the particle volume fractions on the grain coarsening kinetics, a novel formula for the grain coarsening kinetics considering the influences of particle volume fractions was established according to the simulation results. At last, the comparisons between the experimental results and the simulation results of the present model and other models showed that the present model should be more efficient in simulating the second-phase particle pinning grain coarsening processes than other models.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Miura H, Tsukawaki H, Sakai T, Jonas JJ (2008) Effect of particle/matrix interfacial character on the high-temperature deformation and recrystallization behavior of Cu with dispersed Fe particles. Acta Mater 56:4944–4952 Miura H, Tsukawaki H, Sakai T, Jonas JJ (2008) Effect of particle/matrix interfacial character on the high-temperature deformation and recrystallization behavior of Cu with dispersed Fe particles. Acta Mater 56:4944–4952
2.
go back to reference Hutchinson CR, Gouné M, Redjaïmia A (2007) Selecting non-isothermal heat treatment schedules for precipitation hardening systems: An example of coupled process–property optimization. Acta Mater 55:213–223 Hutchinson CR, Gouné M, Redjaïmia A (2007) Selecting non-isothermal heat treatment schedules for precipitation hardening systems: An example of coupled process–property optimization. Acta Mater 55:213–223
3.
go back to reference Collins DM, Conduit BD, Stone HJ, Hardy MC, Conduit GJ, Mitchell RJ (2013) Grain growth behaviour during near-c0 solvus thermal exposures in a polycrystalline nickel-base superalloy. Acta Mater 61:3378–3391 Collins DM, Conduit BD, Stone HJ, Hardy MC, Conduit GJ, Mitchell RJ (2013) Grain growth behaviour during near-c0 solvus thermal exposures in a polycrystalline nickel-base superalloy. Acta Mater 61:3378–3391
4.
go back to reference Smith C (1948) Zener pinning. Met Technol Trans Metall Soc 1:15–51 Smith C (1948) Zener pinning. Met Technol Trans Metall Soc 1:15–51
5.
go back to reference Nes E, Ryum N, Hunderi O (1985) On the Zener drag. Acta Metall 33:11–22 Nes E, Ryum N, Hunderi O (1985) On the Zener drag. Acta Metall 33:11–22
6.
go back to reference Manohar PA, Ferry M, Chandra T (1998) Five decades of the Zener equation. ISIJ Int 38:913–924 Manohar PA, Ferry M, Chandra T (1998) Five decades of the Zener equation. ISIJ Int 38:913–924
7.
go back to reference Hellman P, Hillert M (1975) On the effect of second-phase particles on grain growth. Scand J Met 4:211–219 Hellman P, Hillert M (1975) On the effect of second-phase particles on grain growth. Scand J Met 4:211–219
8.
go back to reference Hillert M (1988) Inhibition of grain growth by second-phase particles. Acta Metall 36:3177–3181 Hillert M (1988) Inhibition of grain growth by second-phase particles. Acta Metall 36:3177–3181
9.
go back to reference Srolovitz DJ, Anderson MP, Grest GS, Sahni PS (1984) Computer simulation of grain growth-iii. influence of a particle dispersion. Acta Metall 32:1429–1438 Srolovitz DJ, Anderson MP, Grest GS, Sahni PS (1984) Computer simulation of grain growth-iii. influence of a particle dispersion. Acta Metall 32:1429–1438
10.
go back to reference Anderson MP, Grest GS, Doherty RD, Li K, Srolovitz DJ (1989) Inhibition of grain growth by second phase particles: three dimensional Monte Carlo computer simulations. Scr Metall 23:753–758 Anderson MP, Grest GS, Doherty RD, Li K, Srolovitz DJ (1989) Inhibition of grain growth by second phase particles: three dimensional Monte Carlo computer simulations. Scr Metall 23:753–758
11.
go back to reference Hassold GN, Holm EA, Srolovitz DJ (1990) Effects of particle size on inhibited grain growth. Scr Metall 24:101–106 Hassold GN, Holm EA, Srolovitz DJ (1990) Effects of particle size on inhibited grain growth. Scr Metall 24:101–106
12.
go back to reference Hassold GN, Srolovitz DJ (1995) Computer simulation of grain growth with mobile particles. Scr Metall Mater 32:1541–1547 Hassold GN, Srolovitz DJ (1995) Computer simulation of grain growth with mobile particles. Scr Metall Mater 32:1541–1547
13.
go back to reference Gao J, Thompson RG, Patterson BR (1997) Computer simulation of grain growth with second phase particle pinning. Acta Mater 45:3653–3658 Gao J, Thompson RG, Patterson BR (1997) Computer simulation of grain growth with second phase particle pinning. Acta Mater 45:3653–3658
14.
go back to reference Song X, Liu G, Nanju G (1999) Influence of the second-phase particle size on grain growth based on computer simulation. Mater Sci Eng A 270:178–182 Song X, Liu G, Nanju G (1999) Influence of the second-phase particle size on grain growth based on computer simulation. Mater Sci Eng A 270:178–182
15.
go back to reference Miodownik M, Holm EA, Hassold GN (2000) Highly parallel computer simulations of particle pinning: Zener vindicated. Scripta Mater 42:1173–1177 Miodownik M, Holm EA, Hassold GN (2000) Highly parallel computer simulations of particle pinning: Zener vindicated. Scripta Mater 42:1173–1177
16.
go back to reference Hafez Haghighata SM, Karimi Taheri A (2008) Investigation of limiting grain size and microstructure homogeneity in the presence of second phase particles using the Monte Carlo method. J Mater Process Technol 195:195–203 Hafez Haghighata SM, Karimi Taheri A (2008) Investigation of limiting grain size and microstructure homogeneity in the presence of second phase particles using the Monte Carlo method. J Mater Process Technol 195:195–203
17.
go back to reference Fjeldberg E, Marthinsen K (2010) A 3D Monte Carlo study of the effect of grain boundary anisotropy and particles on the size distribution of grains after recrystallisation and grain growth. Comput Mater Sci 48:267–281 Fjeldberg E, Marthinsen K (2010) A 3D Monte Carlo study of the effect of grain boundary anisotropy and particles on the size distribution of grains after recrystallisation and grain growth. Comput Mater Sci 48:267–281
18.
go back to reference Phaneesh KR, Bhat A, Mukherjee P, Kashyap KT (2012) On the Zener limit of grain growth through 2D Monte Carlo simulation. Comput Mater Sci 58:188–191 Phaneesh KR, Bhat A, Mukherjee P, Kashyap KT (2012) On the Zener limit of grain growth through 2D Monte Carlo simulation. Comput Mater Sci 58:188–191
19.
go back to reference Riege SP, Thompson CV, Frost HJ (1999) Simulation of the influence of particles on grain structure evolution in two-dimensional systems and thin films. Acta Mater 47:1879–1887 Riege SP, Thompson CV, Frost HJ (1999) Simulation of the influence of particles on grain structure evolution in two-dimensional systems and thin films. Acta Mater 47:1879–1887
20.
go back to reference Weygand D, Bréchet Y, Lépinoux J (1999) Zener pinning and grain growth: a two-dimensional vertex computer simulation. Acta Mater 47:961–970 Weygand D, Bréchet Y, Lépinoux J (1999) Zener pinning and grain growth: a two-dimensional vertex computer simulation. Acta Mater 47:961–970
21.
go back to reference Weygand D, Bréchet Y, Lépinoux J (2000) Inhibition of grain growth by particle distribution: effect of spatial heterogeneities and of particle strength dispersion. Mater Sci Eng A 292:34–39 Weygand D, Bréchet Y, Lépinoux J (2000) Inhibition of grain growth by particle distribution: effect of spatial heterogeneities and of particle strength dispersion. Mater Sci Eng A 292:34–39
22.
go back to reference Tamaki T, Murakami K, Ushioda K (2016) Proposal of grain growth model based on two-dimensional local curvature multi-vertex model in the presence of pinning particles. ISIJ Int 56:1857–1865 Tamaki T, Murakami K, Ushioda K (2016) Proposal of grain growth model based on two-dimensional local curvature multi-vertex model in the presence of pinning particles. ISIJ Int 56:1857–1865
23.
go back to reference Fan D, Chen L-Q, Chen S-PP (1998) Numerical simulation of Zener pinning with growing second-phase particles. J Am Ceram Soc 81:526–532 Fan D, Chen L-Q, Chen S-PP (1998) Numerical simulation of Zener pinning with growing second-phase particles. J Am Ceram Soc 81:526–532
24.
go back to reference Moelans N, Blanpain B, Wollants P (2005) A phase field model for the simulation of grain growth in materials containing finely dispersed incoherent second-phase particles. Acta Mater 53:1771–1781 Moelans N, Blanpain B, Wollants P (2005) A phase field model for the simulation of grain growth in materials containing finely dispersed incoherent second-phase particles. Acta Mater 53:1771–1781
25.
go back to reference Harun A, Holm EA, Clode MP, Miodownik MA (2006) On computer simulation methods to model Zener pinning. Acta Mater 54:3261–3273 Harun A, Holm EA, Clode MP, Miodownik MA (2006) On computer simulation methods to model Zener pinning. Acta Mater 54:3261–3273
26.
go back to reference Moelans N, Blanpain B, Wollants P (2006) Phase field simulations of grain growth in two-dimensional systems containing finely dispersed second-phase particles. Acta Mater 54:1175–1184 Moelans N, Blanpain B, Wollants P (2006) Phase field simulations of grain growth in two-dimensional systems containing finely dispersed second-phase particles. Acta Mater 54:1175–1184
27.
go back to reference Chang K, Feng W, Chen L-Q (2009) Effect of second-phase particle morphology on grain growth kinetics. Acta Mater 57:5229–5236 Chang K, Feng W, Chen L-Q (2009) Effect of second-phase particle morphology on grain growth kinetics. Acta Mater 57:5229–5236
28.
go back to reference Shahandeh S, Militzer M (2013) Grain boundary curvature and grain growth kinetics with particle pinning. Philos Mag 93:3231–3247 Shahandeh S, Militzer M (2013) Grain boundary curvature and grain growth kinetics with particle pinning. Philos Mag 93:3231–3247
29.
go back to reference Schwarze C, Kamachali RD, Steinbach I (2016) Phase-field study of Zener drag and pinning of cylindrical particles in polycrystalline materials. Acta Mater 106:59–65 Schwarze C, Kamachali RD, Steinbach I (2016) Phase-field study of Zener drag and pinning of cylindrical particles in polycrystalline materials. Acta Mater 106:59–65
30.
go back to reference Chang K, Kwon J, Rhee C-K (2016) Role of second-phase particle morphology on 3D grain growth: a phase-field approach. Comput Mater Sci 124:438–443 Chang K, Kwon J, Rhee C-K (2016) Role of second-phase particle morphology on 3D grain growth: a phase-field approach. Comput Mater Sci 124:438–443
31.
go back to reference Wang N, Ji Y, Wang Y, Wen Y, Chen L-Q (2017) Two modes of grain boundary pinning by coherent precipitates. Acta Mater 135:226–232 Wang N, Ji Y, Wang Y, Wen Y, Chen L-Q (2017) Two modes of grain boundary pinning by coherent precipitates. Acta Mater 135:226–232
32.
go back to reference Kim B-N, Kishi T (1999) Finite element simulation of Zener pinning behavior. Acta Mater 47:2293–2301 Kim B-N, Kishi T (1999) Finite element simulation of Zener pinning behavior. Acta Mater 47:2293–2301
33.
go back to reference Couturier G, Maurice C, Fortunier R (2003) Three-dimensional finite-element simulation of Zener pinning dynamics. Philos Mag 83:3387–3405 Couturier G, Maurice C, Fortunier R (2003) Three-dimensional finite-element simulation of Zener pinning dynamics. Philos Mag 83:3387–3405
34.
go back to reference Couturier G, Doherty R, Maurice C, Fortunier R (2005) 3D finite element simulation of the inhibition of normal grain growth by particles. Acta Mater 53:977–989 Couturier G, Doherty R, Maurice C, Fortunier R (2005) 3D finite element simulation of the inhibition of normal grain growth by particles. Acta Mater 53:977–989
35.
go back to reference Zhou J, Li W, Zhao B, Ren F (2018) Direct measurement of the maximum pinning force during particle-grain boundary interaction via molecular dynamics simulations. Acta Mater 148:1–8 Zhou J, Li W, Zhao B, Ren F (2018) Direct measurement of the maximum pinning force during particle-grain boundary interaction via molecular dynamics simulations. Acta Mater 148:1–8
36.
go back to reference Kad BK, Hazzledine PM (1997) Monte Carlo simulations of grain growth and Zener pinning. Mater Sci Eng A 238:70–77 Kad BK, Hazzledine PM (1997) Monte Carlo simulations of grain growth and Zener pinning. Mater Sci Eng A 238:70–77
37.
go back to reference Hunderi O, Ryum N (1982) On the stagnation of grain growth. Acta Metall 30:739–742 Hunderi O, Ryum N (1982) On the stagnation of grain growth. Acta Metall 30:739–742
38.
go back to reference Abbruzzese G (1985) Computer simulated grain growth stagnation. Acta Metall 33:1329–1337 Abbruzzese G (1985) Computer simulated grain growth stagnation. Acta Metall 33:1329–1337
39.
go back to reference Moelans N, Blanpain B, Wollants P (2007) Pinning effect of second-phase particles on grain growth in polycrystalline films studied by 3-D phase field simulations. Acta Mater 55:2173–2182 Moelans N, Blanpain B, Wollants P (2007) Pinning effect of second-phase particles on grain growth in polycrystalline films studied by 3-D phase field simulations. Acta Mater 55:2173–2182
40.
go back to reference Burke JE, Turnbull D (1952) Prog Met Phys 3:220–292 Burke JE, Turnbull D (1952) Prog Met Phys 3:220–292
41.
go back to reference Mason JK (2015) Grain boundary energy and curvature in Monte Carlo and cellular automata simulations of grain boundary motion. Acta Mater 94:162–171 Mason JK (2015) Grain boundary energy and curvature in Monte Carlo and cellular automata simulations of grain boundary motion. Acta Mater 94:162–171
42.
go back to reference Li Z, Wang J, Huang H (2019) Grain boundary curvature based 2D cellular automata simulation of grain coarsening. J Alloy Compd 791:411–422 Li Z, Wang J, Huang H (2019) Grain boundary curvature based 2D cellular automata simulation of grain coarsening. J Alloy Compd 791:411–422
43.
go back to reference Kang S-JL (2004) Sintering: densification, grain growth and microstructure. Butterworth-Heinemann, Oxford Kang S-JL (2004) Sintering: densification, grain growth and microstructure. Butterworth-Heinemann, Oxford
44.
go back to reference Janssens KGF (2010) An introductory review of cellular automata modeling of moving grain boundaries in polycrystalline materials. Math Comput Simul 80:1361–1381 Janssens KGF (2010) An introductory review of cellular automata modeling of moving grain boundaries in polycrystalline materials. Math Comput Simul 80:1361–1381
45.
go back to reference Sieradzki L, Made L (2013) Comput Mater Sci 67:156–173 Sieradzki L, Made L (2013) Comput Mater Sci 67:156–173
47.
go back to reference Hillert M (1965) On the theory of normal and abnormal grain growth. Acta Metall 13(3):227–238 Hillert M (1965) On the theory of normal and abnormal grain growth. Acta Metall 13(3):227–238
48.
go back to reference Humphreys FJ, Hatherly M (1996) Recrystallization and related annealing phenomena. Pergamon, Oxford Humphreys FJ, Hatherly M (1996) Recrystallization and related annealing phenomena. Pergamon, Oxford
Metadata
Title
Influences of particle fractions on second-phase particles pinning grain coarsening processes
Authors
Zhiqiang Li
Junsheng Wang
Houbing Huang
Publication date
09-12-2019
Publisher
Springer US
Published in
Journal of Materials Science / Issue 8/2020
Print ISSN: 0022-2461
Electronic ISSN: 1573-4803
DOI
https://doi.org/10.1007/s10853-019-04262-5

Other articles of this Issue 8/2020

Journal of Materials Science 8/2020 Go to the issue

Premium Partners