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Published in: Metallurgical and Materials Transactions A 2/2020

13-11-2019

Stress Localization Resulting from Grain Boundary Dislocation Interactions in Relaxed and Defective Grain Boundaries

Authors: Bryan Kuhr, Diana Farkas, Ian M. Robertson, Drew Johnson, Gary Was

Published in: Metallurgical and Materials Transactions A | Issue 2/2020

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Abstract

Large-scale molecular dynamics simulations are used to study strain and stress localization in atomistic polycrystalline FCC digital samples in a thin-film configuration, deformed in tension. Special focus is placed on the effects of additional grain boundary disorder on the dislocation–grain boundary interaction. The development of the localized stress and strain regions is studied as dislocations are emitted from and arrive at grain boundaries. Digital samples with two different degrees of disorder in the grain boundaries but otherwise identical microstructures are compared in order to understand the effects of additional defects on the stress concentration that develops at the grain boundaries. Localization phenomena are found to depend on the details of the grain boundary defect structure and relaxation state. The results clearly show that the samples with more disordered grain boundaries are more prone to strain and stress localization, with a higher fraction of atoms experiencing extreme deformation. The simulation results are validated by comparison with the predictions of continuum theories and experimental measurements of localized stress performed in austenitic stainless steel.

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Literature
1.
go back to reference X.M. Bai, L.J. Vernon, R.G. Hoagland, A.F. Voter, M. Nastasi, and B.P. Uberuaga: Phys. Rev. B, 2012, vol. 85, art. no. 214103. X.M. Bai, L.J. Vernon, R.G. Hoagland, A.F. Voter, M. Nastasi, and B.P. Uberuaga: Phys. Rev. B, 2012, vol. 85, art. no. 214103.
2.
go back to reference W. S. Yu and S. P. Shen, International Journal of Plasticity, 2016, 85, 93-109. W. S. Yu and S. P. Shen, International Journal of Plasticity, 2016, 85, 93-109.
3.
go back to reference B. L. Adams, B. S. El-Dasher, R. Merrill, J. Basinger and D. S. Li, Solid Mech Appl, 2004, 114, 315-323. B. L. Adams, B. S. El-Dasher, R. Merrill, J. Basinger and D. S. Li, Solid Mech Appl, 2004, 114, 315-323.
4.
go back to reference M. Kiritani, N. Yoshida, H. Takata and Y. Maehara, J Phys Soc Jpn, 1975, 38, 1677-1686. M. Kiritani, N. Yoshida, H. Takata and Y. Maehara, J Phys Soc Jpn, 1975, 38, 1677-1686.
5.
go back to reference R. S. Averback, J Nucl Mater, 1994, 216, 49-62. R. S. Averback, J Nucl Mater, 1994, 216, 49-62.
6.
go back to reference J. S. Robach, I. M. Robertson, B. D. Wirth and A. Arsenlis, Philos. Mag., 2003, 83, 955-967. J. S. Robach, I. M. Robertson, B. D. Wirth and A. Arsenlis, Philos. Mag., 2003, 83, 955-967.
7.
go back to reference Y. Matsukawa, Y. N. Osetsky, R. E. Stoller and S. J. Zinkle, Philos. Mag., 2008, 88, 581-597. Y. Matsukawa, Y. N. Osetsky, R. E. Stoller and S. J. Zinkle, Philos. Mag., 2008, 88, 581-597.
8.
go back to reference Z. Jiao and G. S. Was, J Nucl Mater, 2008, 382, 203-209. Z. Jiao and G. S. Was, J Nucl Mater, 2008, 382, 203-209.
9.
go back to reference K. Farrell, T. S. Byun and N. Hashimoto, J Nucl Mater, 2004, 335, 471-486. K. Farrell, T. S. Byun and N. Hashimoto, J Nucl Mater, 2004, 335, 471-486.
10.
go back to reference Z. Jiao and G. S. Was, J Nucl Mater, 2011, 408, 246-256. Z. Jiao and G. S. Was, J Nucl Mater, 2011, 408, 246-256.
11.
go back to reference R. P. Tucker, M. S. Wechsler and S. M. Ohr, J Appl Phys, 1969, 40, 400–408. R. P. Tucker, M. S. Wechsler and S. M. Ohr, J Appl Phys, 1969, 40, 400–408.
12.
go back to reference M. D. McMurtrey, B. Cui, I. Robertson, D. Farkas and G. S. Was, Current Opinion in Solid State & Materials Science, 2015, 19, 305-314. M. D. McMurtrey, B. Cui, I. Robertson, D. Farkas and G. S. Was, Current Opinion in Solid State & Materials Science, 2015, 19, 305-314.
13.
go back to reference M. N. Gussev, K. G. Field and J. T. Busby, J Nucl Mater, 2015, 460, 139-152. M. N. Gussev, K. G. Field and J. T. Busby, J Nucl Mater, 2015, 460, 139-152.
14.
go back to reference T. S. Byun and N. Hashimoto, Am Soc Test Mater, 2008, 1492, 121-133. T. S. Byun and N. Hashimoto, Am Soc Test Mater, 2008, 1492, 121-133.
15.
go back to reference D. C. Johnson, B. Kuhr, D. Farkas and G. S. Was, Scripta Materialia, 2016, 116, 87-90. D. C. Johnson, B. Kuhr, D. Farkas and G. S. Was, Scripta Materialia, 2016, 116, 87-90.
16.
go back to reference A. N. Stroh, Proc R Soc Lon Ser-A, 1954, 223, 404-414. A. N. Stroh, Proc R Soc Lon Ser-A, 1954, 223, 404-414.
17.
go back to reference J. D. Eshelby, F. C. Frank and F. R. N. Nabarro, Philos. Mag., 1951, 42, 351-364. J. D. Eshelby, F. C. Frank and F. R. N. Nabarro, Philos. Mag., 1951, 42, 351-364.
18.
go back to reference J. F. Nye, Acta Metall Mater, 1953, 1, 153-162. J. F. Nye, Acta Metall Mater, 1953, 1, 153-162.
19.
go back to reference M. Calcagnotto, D. Ponge, E. Demir and D. Raabe, Mater. Sci. Eng. A, 2010, 527, 2738-2746. M. Calcagnotto, D. Ponge, E. Demir and D. Raabe, Mater. Sci. Eng. A, 2010, 527, 2738-2746.
20.
21.
go back to reference Y. Guo, T. B. Britton and A. J. Wilkinson, Acta Mater, 2014, 76, 1-12. Y. Guo, T. B. Britton and A. J. Wilkinson, Acta Mater, 2014, 76, 1-12.
22.
go back to reference T. B. Britton and A. J. Wilkinson, Acta Mater, 2012, 60, 5773-5782. T. B. Britton and A. J. Wilkinson, Acta Mater, 2012, 60, 5773-5782.
23.
go back to reference Y. Guo, D. M. Collins, E. Tarleton, F. Hofmann, J. Tischler, W. Liu, R. Xu, A. J. Wilkinson and T. B. Britton, Acta Mater, 2015, 96, 229-236. Y. Guo, D. M. Collins, E. Tarleton, F. Hofmann, J. Tischler, W. Liu, R. Xu, A. J. Wilkinson and T. B. Britton, Acta Mater, 2015, 96, 229-236.
24.
go back to reference E. B. Webb, J. A. Zimmerman and S. C. Seel, Math Mech Solids, 2008, 13, 221-266. E. B. Webb, J. A. Zimmerman and S. C. Seel, Math Mech Solids, 2008, 13, 221-266.
25.
go back to reference A. C. Eringen, Int J Eng Sci, 1977, 15, 177-183. A. C. Eringen, Int J Eng Sci, 1977, 15, 177-183.
26.
go back to reference Z. L. Pan and T. J. Rupert, Acta Mater, 2015, 89, 205-214. Z. L. Pan and T. J. Rupert, Acta Mater, 2015, 89, 205-214.
27.
go back to reference N. J. Burbery, R. Das and W. G. Ferguson, Comput. Mater. Sci., 2015, 101, 16-28. N. J. Burbery, R. Das and W. G. Ferguson, Comput. Mater. Sci., 2015, 101, 16-28.
28.
go back to reference N. J. Burbery, R. Das and W. G. Ferguson, Acta Mater, 2016, 108, 355-366. N. J. Burbery, R. Das and W. G. Ferguson, Acta Mater, 2016, 108, 355-366.
29.
go back to reference D. Foley and G.J. Tucker: Model. Simul. Mater. Sci., 2016, vol. 24, art. no. 075011. D. Foley and G.J. Tucker: Model. Simul. Mater. Sci., 2016, vol. 24, art. no. 075011.
30.
go back to reference G. J. Tucker and D. L. McDowell, International Journal of Plasticity, 2011, 27, 841-857. G. J. Tucker and D. L. McDowell, International Journal of Plasticity, 2011, 27, 841-857.
31.
go back to reference J. V. Sharp, Philos. Mag., 1967, 16, 77–96. J. V. Sharp, Philos. Mag., 1967, 16, 77–96.
32.
go back to reference A. Patra and D. L. McDowell, Acta Mater, 2016, 110, 364-376. A. Patra and D. L. McDowell, Acta Mater, 2016, 110, 364-376.
33.
go back to reference M. D. McMurtrey, G. S. Was, L. Patrick and D. Farkas, Mater. Sci. Eng. A, 2011, 528, 3730-3740. M. D. McMurtrey, G. S. Was, L. Patrick and D. Farkas, Mater. Sci. Eng. A, 2011, 528, 3730-3740.
34.
go back to reference D. Farkas, Curr. Opin. Solid State Mater., 2013, 17, 284-297. D. Farkas, Curr. Opin. Solid State Mater., 2013, 17, 284-297.
35.
go back to reference S. Plimpton, J Comput Phys, 1995, 117, 1-19. S. Plimpton, J Comput Phys, 1995, 117, 1-19.
36.
go back to reference G. Bussi, T. Zykova-Timan, and M. Parrinello, J. Chem. Phys., 2009, vol. 130, art. no. 074101. G. Bussi, T. Zykova-Timan, and M. Parrinello, J. Chem. Phys., 2009, vol. 130, art. no. 074101.
37.
go back to reference M. S. Daw and M. I. Baskes, Phys. Rev. B, 1984, 29, 6443-6453. M. S. Daw and M. I. Baskes, Phys. Rev. B, 1984, 29, 6443-6453.
38.
go back to reference A.F. Voter and S.P. Chen, MRS Symp. Proc., 1987, vol. 82, pp. 175–180. A.F. Voter and S.P. Chen, MRS Symp. Proc., 1987, vol. 82, pp. 175–180.
39.
go back to reference C. L. Kelchner, S. J. Plimpton and J. C. Hamilton, Phys. Rev. B, 1998, 58, 11085-11088. C. L. Kelchner, S. J. Plimpton and J. C. Hamilton, Phys. Rev. B, 1998, 58, 11085-11088.
40.
go back to reference A. Stukowski: Modell. Simul. Mater. Sci. Eng., 2010, vol. 18, art. no. 085001. A. Stukowski: Modell. Simul. Mater. Sci. Eng., 2010, vol. 18, art. no. 085001.
41.
go back to reference F. Shimizu, S. Ogata and J. Li, Mater Trans, 2007, 48, 2923-2927. F. Shimizu, S. Ogata and J. Li, Mater Trans, 2007, 48, 2923-2927.
42.
go back to reference A. J. Wilkinson, G. Meaden and D. J. Dingley, Mater Sci Tech-Lond, 2006, 22, 1271-1278. A. J. Wilkinson, G. Meaden and D. J. Dingley, Mater Sci Tech-Lond, 2006, 22, 1271-1278.
43.
go back to reference H. Van Swygenhoven, M. Spaczer, A. Caro and D. Farkas, Phys. Rev. B, 1999, 60, 22-25. H. Van Swygenhoven, M. Spaczer, A. Caro and D. Farkas, Phys. Rev. B, 1999, 60, 22-25.
44.
go back to reference X. Y. Sun, C. Fressengeas, V. Taupin, P. Cordier and N. Combe, International Journal of Plasticity, 2018, 104, 134-146. X. Y. Sun, C. Fressengeas, V. Taupin, P. Cordier and N. Combe, International Journal of Plasticity, 2018, 104, 134-146.
45.
go back to reference D. L. Olmsted, S. M. Foiles and E. A. Holm, Acta Mater, 2009, 57, 3694-3703. D. L. Olmsted, S. M. Foiles and E. A. Holm, Acta Mater, 2009, 57, 3694-3703.
46.
go back to reference J. Weertman, Dislocation based fracture mechanics, World Scientific, Singapore; River Edge, N.J., 1996. J. Weertman, Dislocation based fracture mechanics, World Scientific, Singapore; River Edge, N.J., 1996.
47.
go back to reference M. D. McMurtrey, G. S. Was, B. Cui, I. Robertson, L. Smith and D. Farkas, International Journal of Plasticity, 2014, 56, 219-231. M. D. McMurtrey, G. S. Was, B. Cui, I. Robertson, L. Smith and D. Farkas, International Journal of Plasticity, 2014, 56, 219-231.
48.
go back to reference D. C. Johnson, B. Kuhr, D. Farkas and G. S. Was, Acta Materialia, 2019, 170, 166- 175. D. C. Johnson, B. Kuhr, D. Farkas and G. S. Was, Acta Materialia, 2019, 170, 166- 175.
49.
go back to reference W. A. T. Clark, R. H. Wagoner, Z. Y. Shen, T. C. Lee, I. M. Robertson and H. K. Birnbaum, Scripta Metallurgica Et Materialia, 1992, 26, 203-206. W. A. T. Clark, R. H. Wagoner, Z. Y. Shen, T. C. Lee, I. M. Robertson and H. K. Birnbaum, Scripta Metallurgica Et Materialia, 1992, 26, 203-206.
50.
go back to reference A. Hasnaoui, P. M. Derlet and H. Van Swygenhoven, Acta Mater, 2004, 52, 2251-2258. A. Hasnaoui, P. M. Derlet and H. Van Swygenhoven, Acta Mater, 2004, 52, 2251-2258.
51.
go back to reference M. P. Dewald and W. A. Curtin, Philos. Mag., 2007, 87, 4615-4641. M. P. Dewald and W. A. Curtin, Philos. Mag., 2007, 87, 4615-4641.
52.
go back to reference J. Kacher, B. P. Eftink, B. Cui and I. M. Robertson, Curr. Opin. Solid State Mater., 2014, 18, 227-243. J. Kacher, B. P. Eftink, B. Cui and I. M. Robertson, Curr. Opin. Solid State Mater., 2014, 18, 227-243.
53.
go back to reference Z. L. Pan and T. J. Rupert, Comput. Mater. Sci., 2014, 93, 206-209. Z. L. Pan and T. J. Rupert, Comput. Mater. Sci., 2014, 93, 206-209.
54.
go back to reference S. Chandra, M. K. Samal, V. M. Chavan and R. J. Patel, Mater. Sci. Eng. A, 2015, 646, 25-32. S. Chandra, M. K. Samal, V. M. Chavan and R. J. Patel, Mater. Sci. Eng. A, 2015, 646, 25-32.
55.
go back to reference W. S. Yu, Z. Q. Wang and S. P. Shen, Comput. Mater. Sci., 2017, 137, 162-170. W. S. Yu, Z. Q. Wang and S. P. Shen, Comput. Mater. Sci., 2017, 137, 162-170.
56.
go back to reference K. Kinoshita, T. Shimokawa and T. Kinari, Mater Trans, 2012, 53, 147-155. K. Kinoshita, T. Shimokawa and T. Kinari, Mater Trans, 2012, 53, 147-155.
57.
go back to reference T. Shimokawa, T. Hiramoto, T. Kinari and S. Shintaku, Mater Trans, 2009, 50, 2-10. T. Shimokawa, T. Hiramoto, T. Kinari and S. Shintaku, Mater Trans, 2009, 50, 2-10.
58.
go back to reference P. R. M. van Beers, V. G. Kouznetsova and M. G. D. Geers, Mech Mater, 2015, 90, 69-82. P. R. M. van Beers, V. G. Kouznetsova and M. G. D. Geers, Mech Mater, 2015, 90, 69-82.
Metadata
Title
Stress Localization Resulting from Grain Boundary Dislocation Interactions in Relaxed and Defective Grain Boundaries
Authors
Bryan Kuhr
Diana Farkas
Ian M. Robertson
Drew Johnson
Gary Was
Publication date
13-11-2019
Publisher
Springer US
Published in
Metallurgical and Materials Transactions A / Issue 2/2020
Print ISSN: 1073-5623
Electronic ISSN: 1543-1940
DOI
https://doi.org/10.1007/s11661-019-05534-0

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