Research Papers

Modeling of the Onset, Propagation, and Interaction of Multiple Cracks Generated From Corrosion Pits by Using Peridynamics

[+] Author and Article Information
Dennj De Meo, Luigi Russo, Erkan Oterkus

Department of Naval Architecture,
Ocean and Marine Engineering,
University of Strathclyde,
Glasgow G4 0LZ, UK

1Corresponding author.

Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received July 31, 2016; final manuscript received February 11, 2017; published online May 12, 2017. Assoc. Editor: Vadim V. Silberschmidt.

J. Eng. Mater. Technol 139(4), 041001 (May 12, 2017) (9 pages) Paper No: MATS-16-1213; doi: 10.1115/1.4036443 History: Received July 31, 2016; Revised February 11, 2017

High stress regions around corrosion pits can lead to crack nucleation and propagation. In fact, in many engineering applications, corrosion pits act as precursor to cracking, but prediction of structural damage has been hindered by lack of understanding of the process by which a crack develops from a pit and limitations in visualization and measurement techniques. An experimental approach able to accurately quantify the stress and strain field around corrosion pits is still lacking. In this regard, numerical modeling can be helpful. Several numerical models, usually based on finite element method (FEM), are available for predicting the evolution of long cracks. However, the methodology for dealing with the nucleation of damage is less well developed, and, often, numerical instabilities arise during the simulation of crack propagation. Moreover, the popular assumption that the crack has the same depth as the pit at the point of transition and by implication initiates at the pit base has no intrinsic foundation. A numerical approach is required to model nucleation and propagation of cracks without being affected by any numerical instability and without assuming crack initiation from the base of the pit. This is achieved in the present study, where peridynamics (PD) theory is used in order to overcome the major shortcomings of the currently available numerical approaches. Pit-to-crack transition phenomenon is modeled, and nonconventional and more effective numerical frameworks that can be helpful in failure analysis and in the design of new fracture-resistant and corrosion-resistant materials are presented.

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Pidaparti, R. M. , and Patel, R. R. , 2011, “ Modeling the Evolution of Stresses Induced by Corrosion Damage in Metals,” J. Mater. Eng. Perform., 20(7), pp. 1114–1120. [CrossRef]
Turnbull, A. , 2014, “ Corrosion Pitting and Environmentally Assisted Small Crack Growth,” Proc. R. Soc. A, 470(2169), p. 20140254.
Pidaparti, R. M. , and Patel, R. K. , 2010, “ Investigation of a Single Pit/Defect Evolution During the Corrosion Process,” Corros. Sci., 52(9), pp. 3150–3153. [CrossRef]
Suter, T. , Webb, E. G. , Bohni, H. , and Alkire, R. C. , 2001, “ Pit Initiation on Stainless Steels in 1 M NaCl With and Without Mechanical Stress,” J. Electrochem. Soc., 148(5), pp. B174–B185. [CrossRef]
Kondo, Y. , 1989, “ Prediction of Fatigue Crack Initiation Life Based on Pit Growth,” Corros. Sci., 45(1), pp. 7–11. [CrossRef]
Turnbull, A. , McCartney, L. N. , and Zhou, S. , 2006, “ A Model to Predict the Evolution of Pitting Corrosion and the Pit-to-Crack Transition Incorporating Statistically Distributed Input Parameters,” Corros. Sci., 48(8), pp. 2084–2105. [CrossRef]
Turnbull, A. , McCartney, L. N. , and Zhou, S. , 2006, “ Modelling of the Evolution of Stress Corrosion Cracks From Corrosion Pits,” Scr. Mater., 54(4), pp. 575–578. [CrossRef]
Turnbull, A. , Horner, D. A. , and Connolly, B. J. , 2009, “ Challenges in Modelling the Evolution of Stress Corrosion Cracks From Pits,” Eng. Fract. Mech., 76(5), pp. 633–640. [CrossRef]
Horner, D. A. , Connolly, B. J. , Zhou, S. , Crocker, L. , and Turnbull, A. , 2011, “ Novel Images of the Evolution of Stress Corrosion Cracks From Corrosion Pits,” Corros. Sci., 53(11), pp. 3466–3485. [CrossRef]
Ståhle, P. , Bjerkén, C. , and Jivkov, A. P. , 2007, “ On Dissolution Driven Crack Growth,” Int. J. Solids Struct., 44(6), pp. 1880–1890. [CrossRef]
Pidaparti, R. M. , and Rao, A. S. , 2008, “ Analysis of Pits Induced Stresses Due to Metal Corrosion,” Corros. Sci., 50(7), pp. 1932–1938. [CrossRef]
Pidaparti, R. M. , and Patel, R. R. , 2008, “ Correlation Between Corrosion Pits and Stresses in Al Alloys,” Mater. Lett., 62(30), pp. 4497–4499. [CrossRef]
Turnbull, A. , Wright, L. , and Crocker, L. , 2010, “ New Insight Into the Pit-to-Crack Transition From Finite Element Analysis of the Stress and Strain Distribution Around a Corrosion Pit,” Corros. Sci., 52(4), pp. 1492–1498. [CrossRef]
Rajabipour, A. , and Melchers, R. E. , 2013, “ A Numerical Study of Damage Caused by Combined Pitting Corrosion and Axial Stress in Steel Pipes,” Corros. Sci., 76, pp. 292–301. [CrossRef]
Zhu, L. K. , Yan, Y. , Qiao, L. J. , and Volinsky, A. A. , 2013, “ Stainless Steel Pitting and Early-Stage Stress Corrosion Cracking Under Ultra-Low Elastic Load,” Corros. Sci., 77, pp. 360–368. [CrossRef]
Popov, B. N. , 2015, “ Pitting and Crevice and Corrosion,” Corrosion Engineering Principles and Solved Problems, Elsevier, Amsterdam, The Netherlands, pp. 289–325.
Silling, S. A. , 2000, “ Reformulation of Elasticity Theory for Discontinuities and Long-Range Forces,” J. Mech. Phys. Solids, 48(1), pp. 175–209. [CrossRef]
Bobaru, F. , and Hu, W. , 2012, “ The Meaning, Selection, and Use of the Peridynamic Horizon and Its Relation to Crack Branching in Brittle Materials,” Int. J. Fract., 176(2), pp. 215–222. [CrossRef]
De Meo, D. , Zhu, N. , and Oterkus, E. , 2016, “ Peridynamic Modeling of Granular Fracture in Polycrystalline Materials,” ASME J. Eng. Mater. Technol., 138(4), p. 041008. [CrossRef]
Madenci, E. , and Oterkus, E. , 2014, Peridynamic Theory and Its Applications, Springer, New York.
Chen, Z. , and Bobaru, F. , 2015, “ Peridynamic Modeling of Pitting Corrosion Damage,” J. Mech. Phys. Solids, 78, pp. 352–381. [CrossRef]
Gavrilov, S. , Vankeerberghen, M. , Nelissen, G. , and Deconinck, J. , 2007, “ Finite Element Calculation of Crack Propagation in Type 304 Stainless Steel in Diluted Sulphuric Acid Solutions,” Corros. Sci., 49(3), pp. 980–999. [CrossRef]
Oterkus, S. , Madenci, E. , and Agwai, A. , 2014, “ Peridynamic Thermal Diffusion,” J. Comput. Phys., 265, pp. 71–96. [CrossRef]
Oterkus, S. , Madenci, E. , and Agwai, A. , 2014, “ Fully Coupled Peridynamic Thermomechanics,” J. Mech. Phys. Solids, 64, pp. 1–23. [CrossRef]
Oterkus, S. , Madenci, E. , Oterkus, E. , Hwang, Y. , Bae, J. , and Han, S. , 2014, “ Hygro-Thermo-Mechanical Analysis and Failure Prediction in Electronic Packages by Using Peridynamics,” IEEE 64th Electronic Components and Technology Conference (ECTC), Lake Buena Vista, FL, May 27–30, pp. 973–982.


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Fig. 1

Possible pit morphologies [16]

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Fig. 2

PD interactions in two-dimensional (2D)

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Fig. 4

PD undeformed configuration (left) and deformed configuration (right)

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Fig. 5

PD bond behavior for brittle materials

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Fig. 6

PD domain discretization in 2D

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Fig. 7

Voronoi polycrystal

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Fig. 8

Type-1 (dashed lines) and type-2 (solid lines) bonds forthe PD micromechanical model for a crystal orientation γ equals π/4

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Fig. 9

The two phases of the pit-to-crack transition model for the case of subsurface pit: damage index map produced at the end of the first phase of the analysis (a) and corrosion damage and mechanical boundary condition applied to the body at the beginning of the second phase of the analysis (b)

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Fig. 10

Model for the first phase of the pit-to-crack transition analysis: metal and corrosive solution (thick line at the top surface)

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Fig. 11

Pit-to-crack transition for the case of wide and shallow pit

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Fig. 12

Pit-to-crack transition for the case of subsurface pit

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Fig. 13

Corrosion damage before the application of the mechanical load for the subsurface pit

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Fig. 14

Pit-to-crack transition for the case of undercutting pit




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