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Metallurgical and Materials Transactions A
Published in: Metallurgical and Materials Transactions A 12/2018

08-10-2018

A Continuum Deformation Model for Steel Coated with Nanolaminate Metallic Systems

Authors: Mohammed H. Anazi, Hussein M. Zbib

Published in: Metallurgical and Materials Transactions A | Issue 12/2018

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Abstract

This paper develops a continuum model of deformation of X70 steel coated with Cu/Nb–nanolaminate metallic systems (NMSs). The developed model is based on an elastic/viscoplastic framework that includes the effects of dislocation density, size effect, and strain hardening on the plastic deformation. The X70 steel is modeled according to a modified Taylor equation that considers the effects of statistically stored and geometrically necessary stored dislocation densities. NMSs obey two different mechanisms, the confined layer slip (CLS) and dislocation nucleation (Nu), during plastic deformation. NMSs are modeled according to the CLS mechanism when the individual lamina thickness is between 100 nm and 5 nm and the Nu mechanism when the individual lamina thickness is 5 nm or below. The model is implemented in a subroutine of a commercial finite element analysis code. Simulating a tensile test is the benchmark to generate flow curves of the model that agree with experimental data found in the literature.
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Literature
1.
Y.F. Cheng: Stress Corrosion Cracking of Pipelines, 2013.
2.
F.M. AlAbbas, C. Williamson, S.M. Bhola, J.R. Spear, D.L. Olson, B. Mishra, and A.E. Kakpovbia: Int. Biodeterior. Biodegrad., 2013, vol. 78, pp. 34–42.
3.
X. Zuo and Z. Zhou: Mater. Res., 2015, vol. 18, pp. 36–41.
4.
S.K. Sharma and S. Maheshwari: J. Nat. Gas Sci. Eng., 2017, vol. 38, pp. 203–17.
5.
L.B. Godefroid, L.C. Cândido, R. Vicente, and B. Toffolo: 2014, vol. 17, pp. 114–20.
6.
American Petroleum Institute: Specification for Line Pipe, 1991.
7.
J.M. Zhang, W.H. Sun, and H. Sun: J. Iron Steel Res. Int., 2010, vol. 17, pp. 63–7.
8.
C.F. Dong, X.G. Li, Z.Y. Liu, and Y.R. Zhang: J. Alloys Compd., 2009, vol. 484, pp. 966–72.
9.
T. Bellahcene, J. Capelle, M. Aberkane, and Z. Azari: Appl. Mech. Mater., 2011, vol. 146, pp. 213–25.
10.
L. Zhang, X.G. Li, C.W. Du, and Y.F. Cheng: J. Mater. Eng. Perform., 2009, vol. 18, pp. 319–23.
11.
Z.Y. Liu, X.G. Li, C.W. Du, G.L. Zhai, and Y.F. Cheng: Corros. Sci., 2008, vol. 50, pp. 2251–7.
12.
M. Paredes, T. Wierzbicki, and P. Zelenak: Eng. Fract. Mech., 2016, vol. 168, pp. 92–111.
13.
W. Wang, Y. Shan, and K. Yang: Mater. Sci. Eng. A, 2009, vol. 502, pp. 38–44.
14.
W. Wang, W. Yan, L. Zhu, P. Hu, Y. Shan, and K. Yang: Mater. Des., 2009, vol. 30, pp. 3436–43.
15.
S. Wang, Y. Zhang, and W. Chen: J. Mater. Sci., 2001, vol. 6, pp. 1931–8.
16.
L. Zhang, X. Gang LI, and C. Wei: J. Iron Steel Res. Int., 2009, vol. 16, pp. 52–7.
17.
F. Rivalin, A. Pineau, M. Di Fant, and J. Besson: Eng. Fract. Mech., 2001, vol. 68, pp. 329–45.
18.
F. Rivalin, J. Besson, A. Pineau, and M. Di Fant: Eng. Fract. Mech., 2000, vol. 68, pp. 347–64.
19.
Y. Chen and S. Lambert: Int. J. Press. Vessel. Pip., 2005, vol. 82, pp. 417–26.
20.
S.H. Hashemi: Int. J. Press. Vessel. Pip., 2008, vol. 85, pp. 879–84.
21.
H.L. Haskel, E. Pauletti, J. P. Martins, and A.L.M. Carvalho: Mater. Res., 2014, vol. 17, pp. 1238–50.
22.
N.H. Kim, C.S. Oh, Y.J. Kim, K.B. Yoon, and Y.H. Ma: Int. J. Press. Vessel. Pip., 2011, vol. 88, pp. 434–47.
23.
Y. Chen and S. Lambert: Int. J. Fract., 2003, vol. 124, pp. 179–99.
24.
Y.M. Kim, S.Y. Shin, H. Lee, B. Hwang, S. Lee, and N.J. Kim: Metall. Mater. Trans. A Phys. Metall. Mater. Sci., 2007, vol. 38, pp. 1731–42.
25.
M. Holloway, C. Nwaoha, and O. Onyewuenyi: Process Plant Equipment : Operation, Control, and Reliability., Wiley, New York, 2012.
26.
M. Mirza, E. Rasu, and A. Desilva: Am. Chem. Sci. J., 2016, vol. 13, pp. 1–23.
27.
R.W. Revie: Oil and Gas Pipelines: Integrity and Safety Handbook, 2015.
28.
G. Abadias, A. Michel, C. Tromas, C. Jaouen, and S.N. Dub: Surf. Coatings Technol., 2007, vol. 202, pp. 844–53.
29.
S. Zhang, D. Sun, Y. Fu, and H. Du: Surf. Coatings Technol., 2003, vol. 167, pp. 113–9.
30.
A. Misra, H. Kung, and J.D. Embury: Scr. Mater., 2004, vol. 50, pp. 707–10.
31.
H.M. Zbib, C.T. Overman, F. Akasheh, and D. Bahr: Int. J. Plast., 2011, vol. 27, pp. 1618–39.
32.
N.A. Mara, A. Misra, R.G. Hoagland, A.V. Sergueeva, T. Tamayo, P. Dickerson, and A.K. Mukherjee: Mater. Sci. Eng. A, 2008, vol. 493, pp. 274–82.
33.
A. Misra, J.P. Hirth, and R.G. Hoagland: Acta Mater., 2005, vol. 53, pp. 4817–24.
34.
N.A. Mara, D. Bhattacharyya, J.P. Hirth, P. Dickerson, and A. Misra: Appl. Phys. Lett., 2010, vol. 97, pp. 97–100.
35.
S. Zheng, I.J. Beyerlein, J.S. Carpenter, K. Kang, J. Wang, W. Han, and N.A. Mara: Nat. Commun., 2013, vol. 4, p. 1696.
36.
I.J. Beyerlein, A. Caro, M.J. Demkowicz, N.A. Mara, A. Misra, and B.P. Uberuaga: Mater. Today, 2013, vol. 16, pp. 443–9.
37.
M.J. Demkowicz, R.G. Hoagland, and J.P. Hirth: Phys. Rev. Lett., 2008, vol. 100, pp. 2–5.
38.
Y.C. Wang, A. Misra, and R.G. Hoagland: Scr. Mater., 2006, vol. 54, pp. 1593–8.
39.
J.S. Carpenter, S.J. Zheng, R.F. Zhang, S.C. Vogel, I.J. Beyerlein, and N.A. Mara: Philos. Mag., 2013, vol. 93, pp. 718–35.
40.
A. Misra and R.G. Hoagland: J. Mater. Res., 2005, vol. 20, pp. 2046–54.
41.
T. Kääriäinen, D. Cameron, M.L. Kääriäinen, and A. Sherman: Atomic Layer Deposition: Principles, Characteristics, and Nanotechnology Applications, 2013.
42.
A.A. Pasa and W. Schwarzacher: Phys. Status Solidi Appl. Res., 1999, vol. 173, pp. 73–84.
43.
M.Z. Quadir, O. Al-Buhamad, L. Bassman, and M. Ferry: Acta Mater., 2007, vol. 55, pp. 5438–48.CrossRef
44.
I.N. Mastorakos, N. Abdolrahim, and H.M. Zbib: Int. J. Mech. Sci., 2010, vol. 52, pp. 295–302.
45.
S. Shao and S.N. Medyanik: Mech. Res. Commun., 2010, vol. 37, pp. 315–9.
46.
R.G. Hoagland, J.P. Hirth, and A. Misra: Philos. Mag., 2006, vol. 86, pp. 3537–58.
47.
M.J. Demkowicz and R.G. Hoagland: J. Nucl. Mater., 2008, vol. 372, pp. 45–52.
48.
J. Wang, R.G. Hoagland, J.P. Hirth, and A. Misra: Acta Mater., 2008, vol. 56, pp. 3109–19.
49.
J. Wang, R.G. Hoagland, J.P. Hirth, and A. Misra: Acta Mater., 2008, vol. 56, pp. 5685–93.
50.
N. Abdolrahim, H.M. Zbib, and D.F. Bahr: Int. J. Plast., 2014, vol. 52, pp. 33–50.
51.
A. Misra, M. Verdier, H. Kung, J.D. Embury, and J.P. Hirth: Scr. Mater., 1999, vol. 41, pp. 973–9.
52.
T. Zhu and J. Li: Prog. Mater. Sci., 2010, vol. 55, pp. 710–57.
53.
W.D. Nix: Metall. Trans. A, 1989, vol. 20, pp. 2217–45.
54.
L.B. Freund: J. Appl. Mech., 1987, vol. 54, p. 553.
55.
I.J. Beyerlein, N.A. Mara, J.S. Carpenter, T. Nizolek, W.M. Mook, T.A. Wynn, R.J. McCabe, J.R. Mayeur, K. Kang, S. Zheng, J. Wang, and T.M. Pollock: J. Mater. Res., 2013, vol. 28, pp. 1799–812.
56.
N.R. Overman, C.T. Overman, H.M. Zbib, and D.F. Bahr: J. Eng. Mater. Technol., 2009, vol. 131, pp. 041203-1–6.
57.
N.A. Mara, D. Bhattacharyya, R.G. Hoagland, and A. Misra: Scr. Mater., 2008, vol. 58, pp. 874–7.
58.
N.A. Mara, D. Bhattacharyya, P. Dickerson, R.G. Hoagland, and A. Misra: Appl. Phys. Lett., 2008, vol. 92, pp. 3–6.
59.
N. Li, N.A. Mara, Y.Q. Wang, M. Nastasi, and A. Misra: Scr. Mater., 2011, vol. 64, pp. 974–7.
60.
A. Bellou, C.T. Overman, H.M. Zbib, D.F. Bahr, and A. Misra: Scr. Mater., 2011, vol. 64, pp. 641–4.
61.
T. Nizolek, N.A. Mara, I.J. Beyerlein, J.T. Avallone, and T.M. Pollock: Adv. Eng. Mater., 2015, vol. 17, pp. 781–5.
62.
D.R. Economy, N.A. Mara, R.L. Schoeppner, B.M. Schultz, R.R. Unocic, and M.S. Kennedy: Metall. Mater. Trans. A Phys. Metall. Mater. Sci., 2016, vol. 47, pp. 1083–95.
63.
N. Mara, A. Sergueeva, A. Misra, and A.K. Mukherjee: Scr. Mater., 2004, vol. 50, pp. 803–6.
64.
J. Wang, Q. Zhou, S. Shao, and A. Misra: Mater. Res. Lett., 2017, vol. 5, pp. 1–19.
65.
Q. Sun, F. Jiang, L. Deng, H. Xiao, L. Li, M. Liang, and T. Peng: Int. J. Fatigue, 2016, vol. 91, pp. 275–85.
66.
Q. Sun, F. Jiang, L. Deng, H. Xiao, L. Li, M. Liang, and T. Peng: Int. J. Fatigue, 2016, vol. 91, pp. 286–92.
67.
N.A. Mara and I.J. Beyerlein: J. Mater. Sci., 2014, vol. 49, pp. 6497–516.
68.
W.Z. Han, E.K. Cerreta, N.A. Mara, I.J. Beyerlein, J.S. Carpenter, S.J. Zheng, C.P. Trujillo, P.O. Dickerson, and A. Misra: Acta Mater., 2014, vol. 63, pp. 150–61.
69.
Z. Fan, S. Xue, J. Wang, K.Y. Yu, H. Wang, and X. Zhang: Acta Mater., 2016, vol. 120, pp. 327–36.
70.
T. Nizolek, I.J. Beyerlein, N.A. Mara, J.T. Avallone, T.M. Pollock, T. Nizolek, I.J. Beyerlein, N.A. Mara, J.T. Avallone, and T.M. Pollock, Appl. Phys. Lett. 2016, vol. 051903, pp. 1–5.
71.
N.A. Mara, T. Tamayo, A. V. Sergueeva, X. Zhang, A. Misra, and A.K. Mukherjee: Thin Solid Films, 2007, vol. 515, pp. 3241–5.
72.
T.J. Nizolek, M.R. Begley, R.J. McCabe, J.T. Avallone, N.A. Mara, I.J. Beyerlein, and T.M. Pollock: Acta Mater., 2017, vol. 133, pp. 303–15.
73.
ASTM Int.: Standard Test Methods for Tension Testing of Metallic Materials 1, 2009.
74.
G.E. Dieter: Mechanical Metallurgy, Third., McGraw-Hill Book Company, Incorporated, Boston, 1986.
75.
J.O. Hallquist: LS-DYNA Theory Manual, Livermore Software Technology Corporation, Livermore, CA, 2006.
76.
L.E. Malvern: Introduction to the Mechanics of a Continuous Medium, Prentice-Hall, Inc., Upper Saddle River, NJ, 1969.
77.
R.J. Asaro: J. Appl. Mech., 1983, vol. 50, pp 921-33.
78.
H.M. Zbib: in American Society of Mechanical Engineers, Applied Mechanics Division, AMD, vol. 183, 1994, pp. 19–33.
79.
A. Needleman: J. Appl. Mech., 1989, vol. 56, pp. 1–9.
80.
G.I. Taylor: Proc. R. Soc. London. Ser. A, 1934, vol. 145, pp. 362–87.
81.
M.F. Ashby: Philos. Mag., 1970, vol. 21, pp. 399–424.
82.
U.F. Kocks: J. Eng. Mater. Technol., 1976, vol. 98, p. 76–85.
83.
R.K. Abu Al-Rub and G.Z. Voyiadjis: Int. J. Plast., 2006, vol. 22, pp. 654–84.
84.
H. Gao, Y. Huang, W.D. Nix, and J.W. Hutchinson: J. Mech. Phys. Solids, 1999, vol. 47, pp. 1239–63.
85.
T. Ohashi, M. Kawamukai, and H. Zbib: Int. J. Plast., 2007, vol. 23, pp. 897–914.
86.
T. Ohashi: Philos. Mag. Lett., 1997, vol. 75, pp. 51–7.
87.
T. Ohashi, M. Kawamukai, and H.M. Zbib: Philos. Mag., 2007, vol. 87, pp. 1307–26.
88.
S. Kingklang and V. Uthaisangsuk: Eng. Fract. Mech., 2018, vol. 191, pp. 82–101.
89.
F. Montheillet, J.J. Jonas, and M. Benferrah: Int. J. Mech. Sci., 1991, vol. 33, pp. 197-209.
90.
91.
M.A. Phillips, B.M. Clemens, and W.D. Nix: Acta Mater., 2003, vol. 51, pp. 3157–70.
92.
R.G. Hoagland, R.J. Kurtz, and C.H. Henager: Scr. Mater., 2004, vol. 50, pp. 775–9.
93.
J. Snel, M.A. Monclús, M. Castillo-Rodríguez, N. Mara, I.J. Beyerlein, J. Llorca, and J.M. Molina-Aldareguía: Jom, 2017, vol. 69, pp. 2214–26.
94.
T. Zhu, J. Li, A. Samanta, A. Leach, and K. Gall: Phys. Rev. Lett., 2008, vol. 100, pp. 1–4.
95.
A. Needleman: Comput. Methods Appl. Mech. Eng., 1988, vol. 67, pp. 69–85.
96.
R. De Borst, L.J. Sluys, H.B. Muhlhaus, and J. Pamin: Eng. Comput., 1993, vol. 10, pp. 99–121.
97.
H. Gao and Y. Huang: Scr. mater., 2003, vol. 48, pp. 113–8.
98.
G.R. Howell and Y.F. Cheng: Prog. Org. Coatings, 2007, vol. 60, pp. 148–52.
Metadata
Title
A Continuum Deformation Model for Steel Coated with Nanolaminate Metallic Systems
Authors
Mohammed H. Anazi
Hussein M. Zbib
Publication date
08-10-2018
Publisher
Springer US
Published in
Metallurgical and Materials Transactions A / Issue 12/2018
Print ISSN: 1073-5623
Electronic ISSN: 1543-1940
DOI
https://doi.org/10.1007/s11661-018-4939-y

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