Modeling Localized Corrosion Propagation of Metallic Materials by Peridynamics: Progresses and Challenges
Received date: 2022-05-19
Revised date: 2022-06-13
Online published: 2022-06-27
Supported by
National Natural Science Foundation of China(52171077);National Natural Science Foundation of China(52031007)
Localized corrosion degradation of metallic materials is a key factor that significantly impacts their lifetime and safety. Existing localized corrosion assessment methods for metallic materials are mainly based on corrosion simulation experiments in laboratory and corrosion exposure experiments in real environmental. However, these experiments are often complex, lengthy, and costly. Localized corrosion simulation can be achieved with the continuous improvement in the theory and measurement of localized corrosion, and the rapid development of numerical calculation, simulation software, and programing. Numerical models based on the classical continuum mechanics (CCM) apply a spatial differential equation to describe the interaction between material points, and singularity appears when solving discontinuous problems such as corrosion degradation. The peridynamics (PD) theory based on nonlocal applies time differential-spatial integration to describe the interaction between the material points and breaks through the bottleneck of the CCM theory on discontinuous problems. This paper reviews the state of the art of PD applied in localized corrosion modeling, including pitting corrosion, crevice corrosion, intergranular corrosion, galvanic corrosion, and stress corrosion cracking by combing with the relevant theories and numerical implementations of the localized corrosion degradation model based on the PD theory. Finally, the challenges and outlook of PD applied in corrosion modeling are discussed.
Dahai XIA , Chengman DENG , Ziguang CHEN , Tianshu LI , Wenbin HU . Modeling Localized Corrosion Propagation of Metallic Materials by Peridynamics: Progresses and Challenges[J]. Acta Metall Sin, 2022 , 58(9) : 1093 -1107 . DOI: 10.11900/0412.1961.2022.00249
| 1 | Xia D H, Deng C M, MacDonald D, et al. Electrochemical measurements used for assessment of corrosion and protection of metallic materials in the field: A critical review [J]. J. Mater. Sci. Technol., 2022, 112: 151 |
| 2 | Hou B R, Li X G, Ma X M, et al. The cost of corrosion in China [J]. npj Mater. Degrad., 2017, 4: 1 |
| 3 | Xia D H, Mao Y C, Zhu Y, et al. A novel approach used to study the corrosion susceptibility of metallic materials at a dynamic seawater/air interface [J]. Corros. Commun., 2022, 6: 62 |
| 4 | Xia D H, Qin Z B, Song S Z, et al. Combating marine corrosion on engineered oxide surface by repelling, blocking and capturing Cl-: A mini review [J]. Corros. Commun., 2021, 2: 1 |
| 5 | Alkire R. Editors' choice-perspective-mathematical modeling of electrochemical systems at multiple scales [J]. J. Electrochem. Soc., 2020, 167: 013517 |
| 6 | Ji Y Y, Xu Y Z, Zhang B B, et al. Review of micro-scale and atomic-scale corrosion mechanisms of second phases in aluminum alloys [J]. Trans. Nonferrous Met. Soc. China, 2021, 31: 3205 |
| 7 | Weidner J W, Balbuena P B, Weber A Z, et al. Mathematical modeling of electrochemical systems at multiple scales in honor of Professor John Newman [J]. J. Electrochem. Soc., 2017, 164: Y13 |
| 8 | Li T S, Wu J, Frankel G S. Localized corrosion: Passive film breakdown vs. pit growth stability, Part VI: Pit dissolution kinetics of different alloys and a model for pitting and repassivation potentials [J]. Corros. Sci., 2021, 182: 109277 |
| 9 | Li T S, Frankel G S. Repassivation underneath salt film on stainless steel pits [J]. Corros. Sci., 2022, 203: 110353 |
| 10 | Frankel G S, Li T S, Scully J R. Perspective-localized corrosion: Passive film breakdown vs pit growth stability [J]. J. Electrochem. Soc., 2017, 164: C180 |
| 11 | Li T S, Scully J R, Frankel G S. Localized corrosion: Passive film breakdown vs pit growth stability: Part II. A model for critical pitting temperature [J]. J. Electrochem. Soc., 2018, 165: C484 |
| 12 | Li T S, Scully J R, Frankel G S. Localized corrosion: Passive film breakdown vs. pit growth stability: Part III. A unifying set of principal parameters and criteria for pit stabilization and salt film formation [J]. J. Electrochem. Soc., 2018, 165: C762 |
| 13 | Li T S, Scully J R, Frankel G S. Localized corrosion: passive film breakdown vs pit growth stability: Part V. Validation of a new framework for pit growth stability using one-dimensional artificial pit electrodes [J]. J. Electrochem. Soc., 2019, 166: C3341 |
| 14 | Li T S, Scully J R, Frankel G S. Localized corrosion: Passive film breakdown vs. pit growth stability: Part IV. The role of salt film in pit growth: A mathematical framework [J]. J. Electrochem. Soc., 2019, 166: C115 |
| 15 | Li T S, Perea D E, Schreiber D K, et al. Cryo-based structural characterization and growth model of salt film on metal [J]. Corros. Sci., 2020, 174: 108812 |
| 16 | Wang Y C, Song S Z, Wang J Q, et al. Correlation between passivity breakdown and composition of passive film formed on alloy 690 studied by sputtering XPS and FIB-HRTEM [J]. J. Electrochem. Soc., 2019, 166: C332 |
| 17 | Turnbull A, Wright L, Crocker L. New insight into the pit-to-crack transition from finite element analysis of the stress and strain distribution around a corrosion pit [J]. Corros. Sci., 2010, 52: 1492 |
| 18 | Wenman M R, Trethewey K R, Jarman S E, et al. A finite-element computational model of chloride-induced transgranular stress-corrosion cracking of austenitic stainless steel [J]. Acta. Mater., 2008, 56: 4125 |
| 19 | Vankeerberghen M. Will finite-element analysis find its way to the design against stress corrosion cracking? [J]. Environ.-Induced Crack. Mater., 2008, 1: 115 |
| 20 | Paraskevoulakos C, Tanner D W J, Scott T B. Finite element modelling approach to investigate the degradation of intermediate level waste drums induced from interior metallic corrosion [J]. Eng. Struct., 2017, 147: 385 |
| 21 | Fallahnezhad K, Oskouei R H, Taylor M. Development of a fretting corrosion model for metallic interfaces using adaptive finite element analysis [J]. Finite. Elem. Anal. Des., 2018, 148: 38 |
| 22 | Qin G J, Cheng Y F, Zhang P. Finite element modeling of corrosion defect growth and failure pressure prediction of pipelines [J]. Int. J. Press. Vessels Pip., 2021, 194: 104509 |
| 23 | Fatoba O O, Leiva-Garcia R, Lishchuk S V, et al. Simulation of stress-assisted localised corrosion using a cellular automaton finite element approach [J]. Corros. Sci., 2018, 137: 83 |
| 24 | Roy K, Lau H H, Fang Z Y, et al. Effects of corrosion on the strength of self-drilling screw connections in cold-formed steel structures-experiments and finite element modeling [J]. Structures, 2022, 36: 1080 |
| 25 | Bailly-Salins L, Borrel L, Jiang W, et al. Modeling of high-temperature corrosion of zirconium alloys using the eXtended finite element method (X-FEM) [J]. Corros. Sci., 2021, 189: 109603 |
| 26 | Jasra Y, Singhal S, Upman R, et al. Finite element simulation of stress corrosion cracking in austenitic stainless steel using modified Lemaitre damage model [J]. Mater. Today: Proc., 2020, 26: 2314 |
| 27 | Onishi Y, Takiyasu J, Amaya K, et al. Numerical method for time-dependent localized corrosion analysis with moving boundaries by combining the finite volume method and voxel method [J]. Corros. Sci., 2012, 63: 210 |
| 28 | Sun W, Liu G C, Wang L D, et al. An arbitrary Lagrangian-Eulerian model for studying the influences of corrosion product deposition on bimetallic corrosion [J]. J. Solid State Electrochem., 2013, 17: 829 |
| 29 | Sun W, Wang L D, Wu T T, et al. An arbitrary Lagrangian-Eulerian model for modelling the time-dependent evolution of crevice corrosion [J]. Corros. Sci., 2014, 78: 233 |
| 30 | Duddu R. Numerical modeling of corrosion pit propagation using the combined extended finite element and level set method [J]. Comput. Mech., 2014, 54: 613 |
| 31 | Duddu R, Kota N, Qidwai S M. An extended finite element method based approach for modeling crevice and pitting corrosion [J]. J. Appl. Mech., 2016, 83: 081003 |
| 32 | Ansari T Q, Xiao Z H, Hu S Y, et al. Phase-field model of pitting corrosion kinetics in metallic materials [J]. npj Comput. Mater., 2018, 4: 38 |
| 33 | Ansari T Q, Huang H T, Shi S Q. Phase field modeling for the morphological and microstructural evolution of metallic materials under environmental attack [J]. npj Comput. Mater., 2021, 7: 143 |
| 34 | Lin C, Ruan H H, Shi S Q. Phase field study of mechanico-electrochemical corrosion [J]. Electrochim. Acta, 2019, 310: 240 |
| 35 | Nguyen T T, Bolivar J, Réthoré J, et al. A phase field method for modeling stress corrosion crack propagation in a nickel base alloy [J]. Int. J. Solids Struct., 2017, 112: 65 |
| 36 | Ståhle P, Hansen E. Phase field modelling of stress corrosion [J]. Eng. Fail. Anal., 2015, 47: 241 |
| 37 | Mai W J, Soghrati S, Buchheit R G. A phase field model for simulating the pitting corrosion [J]. Corros. Sci., 2016, 110: 157 |
| 38 | Mai W J, Soghrati S. A phase field model for simulating the stress corrosion cracking initiated from pits [J]. Corros. Sci., 2017, 125: 87 |
| 39 | Nguyen T T, Bolivar J, Shi Y, et al. A phase field method for modeling anodic dissolution induced stress corrosion crack propagation [J]. Corros. Sci., 2018, 132: 146 |
| 40 | Xiao Z H, Hu S Y, Luo J L, et al. A quantitative phase-field model for crevice corrosion [J]. Comput. Mater. Sci., 2018, 149: 37 |
| 41 | Mai W J, Soghrati S. New phase field model for simulating galvanic and pitting corrosion processes [J]. Electrochim. Acta, 2018, 260: 290 |
| 42 | Chadwick A F, Stewart J A, Enrique R A, et al. Numerical modeling of localized corrosion using phase-field and smoothed boundary methods [J]. J. Electrochem. Soc., 2018, 165: C633 |
| 43 | Tsuyuki C, Yamanaka A, Ogimoto Y. Phase-field modeling for pH-dependent general and pitting corrosion of iron [J]. Sci. Rep., 2018, 8: 12777 |
| 44 | Lishchuk S V, Akid R, Worden K, et al. A cellular automaton model for predicting intergranular corrosion [J]. Corros. Sci., 2011, 53: 2518 |
| 45 | Di Caprio D, Vautrin-Ul C, Stafiej J, et al. Morphology of corroded surfaces: Contribution of cellular automaton modelling [J]. Corros. Sci., 2011, 53: 418 |
| 46 | Córdoba-Torres P, Nogueira R P, De Miranda L, et al. Cellular automaton simulation of a simple corrosion mechanism: Mesoscopic heterogeneity versus macroscopic homogeneity [J]. Electrochim. Acta, 2001, 46: 2975 |
| 47 | Cui C J, Ma R J, Chen A R, et al. Experimental study and 3D cellular automata simulation of corrosion pits on Q345 steel surface under salt-spray environment [J]. Corros. Sci., 2019, 154: 80 |
| 48 | Oterkus E, Oterkus S, Madenci E. Peridynamic Modeling, Numerical Techniques, and Applications [M]. Amsterdam: Elsevier, 2021: 186 |
| 49 | Silling S A. Reformulation of elasticity theory for discontinuities and long-range forces [J]. J. Mech. Phys. Sol., 2000, 48: 175 |
| 50 | Rabczuk T, Ren H L. A peridynamics formulation for quasi-static fracture and contact in rock [J]. Eng. Geol., 2017, 225: 42 |
| 51 | Sanchez G, Aperador W, Cerón A. Corrosion grade classification: A machine learning approach [J]. Indian Chem. Eng., 2020, 62: 277 |
| 52 | Hu W K, Ha Y D, Bobaru F. Peridynamic model for dynamic fracture in unidirectional fiber-reinforced composites [J]. Comput. Methods Appl. Mech. Eng., 2012, 217-220: 247 |
| 53 | Karpenko O, Oterkus S, Oterkus E. Peridynamic analysis to investigate the influence of microstructure and porosity on fatigue crack propagation in additively manufactured Ti6Al4V [J]. Eng. Fract. Mech., 2022, 261: 108212 |
| 54 | Bobaru F, Duangpanya M. The peridynamic formulation for transient heat conduction [J]. Int. J. Heat Mass Transf., 2010, 53: 4047 |
| 55 | Bobaru F, Duangpanya M. A peridynamic formulation for transient heat conduction in bodies with evolving discontinuities [J]. J. Comput. Phys., 2012, 231: 2764 |
| 56 | Wang L J, Xu J F, Wang J X. A peridynamic framework and simulation of non-Fourier and nonlocal heat conduction [J]. Int. J. Heat Mass Transf., 2018, 118: 1284 |
| 57 | Nikolaev P, Sedighi M, Jivkov A P, et al. Analysis of heat transfer and water flow with phase change in saturated porous media by bond-based peridynamics [J]. Int. J. Heat Mass Transf., 2022, 185: 122327 |
| 58 | Askari E, Bobaru F, LEhoucq R B, et al. Peridynamics for multiscale materials modeling [J]. J. Phys.: Conf. Ser., 2008, 125: 012078 |
| 59 | Gerstle W, Silling S, Read D, et al. Peridynamic simulation of electromigration [J]. Comput. Mater. Contin., 2008, 8: 75 |
| 60 | Chen Z G, Bobaru F. Peridynamic modeling of pitting corrosion damage [J]. J. Mech. Phys. Sol., 2015, 78: 352 |
| 61 | Jafarzadeh S, Chen Z G, Bobaru F. Computational modeling of pitting corrosion [J]. Corros. Rev., 2019, 37: 419 |
| 62 | Madenci E, Oterkus E. Peridynamic Theory and Its Applications [M]. New York: Springer, 2014: 19 |
| 63 | Silling S A, Epton M, Weckner O, et al. Peridynamic states and constitutive modeling [J]. J. Elasticity, 2007, 88: 151 |
| 64 | Macek R W, Silling S A. Peridynamics via finite element analysis [J]. Finite Elem. Anal. Des., 2007, 43: 1169 |
| 65 | Chen Z G. Advances in corrosion damage modeling [J]. Chin. J. Sol. Mech., 2019, 40: 99 |
| 65 | 陈子光. 腐蚀损伤模型研究进展 [J]. 固体力学学报, 2019, 40: 99 |
| 66 | Cao C N. Principles of Electrochemistry of Corrosion [M]. 3rd Ed., Beijing: Chemical Industry Press, 2008: 60 |
| 66 | 曹楚南. 腐蚀电化学原理 [M]. 第 3版, 北京: 化学工业出版社, 2008: 60 |
| 67 | Scheiner S, Hellmich C. Stable pitting corrosion of stainless steel as diffusion-controlled dissolution process with a sharp moving electrode boundary [J]. Corros. Sci., 2007, 49: 319 |
| 68 | Oterkus S, Madenci E, Agwai A. Peridynamic thermal diffusion [J]. J. Comput. Phys., 2014, 265: 71 |
| 69 | Chen Z G, Bobaru F. Selecting the kernel in a peridynamic formulation: A study for transient heat diffusion [J]. Comput. Phys. Commun., 2015, 197: 51 |
| 70 | Jafarzadeh S, Zhao J M, Shakouri M, et al. A peridynamic model for crevice corrosion damage [J]. Electrochim. Acta, 2022, 401: 139512 |
| 71 | Jafarzadeh S, Chen Z G, Zhao J M, et al. Pitting, lacy covers, and pit merger in stainless steel: 3D peridynamic models [J]. Corros. Sci., 2019, 150: 17 |
| 72 | Jafarzadeh S, Chen Z G, Bobaru F. Peridynamic modeling of intergranular corrosion damage [J]. J. Electrochem. Soc., 2018, 165: C362 |
| 73 | Zhao J M, Jafarzadeh S, Rahmani M, et al. A peridynamic model for galvanic corrosion and fracture [J]. Electrochim. Acta, 2021, 391: 138968 |
| 74 | Jafarzadeh S, Chen Z G, Li S M, et al. A peridynamic mechano-chemical damage model for stress-assisted corrosion [J]. Electrochim. Acta, 2019, 323: 134795 |
| 75 | Lehoucq R B, Silling S A, Seleson P, et al. Peridynamics with LAMMPS: A user guide [R]. Albuquerque: Sandia National Laboratories, 2011 |
| 76 | Silling S A, Askari E. A meshfree method based on the peridynamic model of solid mechanics [J]. Comput. Struct., 2005, 83: 1526 |
| 77 | Seleson P. Improved one-point quadrature algorithms for two-dimensional peridynamic models based on analytical calculations [J]. Comput. Methods Appl. Mech. Eng., 2014, 282: 184 |
| 78 | Liu J J, Lin Y Z, Li X Y. Numerical simulation for carbon steel flow-induced corrosion in high-velocity flow seawater [J]. Anti-Corros. Methods Mater., 2008, 55: 66 |
| 79 | Bobaru F, Yang M J, Alves L F, et al. Convergence, adaptive refinement, and scaling in 1D peridynamics [J]. Int. J. Numer. Methods Eng., 2009, 77: 852 |
| 80 | Silling S A. Linearized theory of peridynamic states [J]. J. Elasticity, 2010, 99: 85 |
| 81 | Bai X M, Tang J Q, Gong J M. Numerical modeling of 1D corrosion pit propagation under different overpotentials using peridynamic method [J]. J. Nanjing Tech Univ. (Nat. Sci. Ed.) 2017, 39(6): 91 |
| 81 | 白小敏, 唐建群, 巩建鸣. 不同过电位下一维点蚀的近场动力学数值模拟 [J]. 南京工业大学学报(自然科学版), 2017, 39(6): 91 |
| 82 | Laycock N J, White S P, Noh J S, et al. Perforated covers for propagating pits [J]. J. Electrochem. Soc., 1998, 145: 1101 |
| 83 | Laycock N J, White S P. Computer simulation of single pit propagation in stainless steel under potentiostatic control [J]. J. Electrochem. Soc., 2001, 148: B264 |
| 84 | Almuaili F A. Characterisation off 3D pitting corrosion kinetics of stainless steel in chloride containing environments [D]. Manchester: University of Manchester, 2017 |
| 85 | Gaudet G T, Mo W T, Hatton T A, et al. Mass transfer and electrochemical kinetic interactions in localized pitting corrosion [J]. AIChE J., 1986, 32: 949 |
| 86 | Jafarzadeh S, Chen Z G, Bobaru F. Peridynamic modeling of repassivation in pitting corrosion of stainless steel [J]. Corrosion, 2018, 74: 393 |
| 87 | Deshpande K B. Experimental investigation of galvanic corrosion: comparison between SVET and immersion techniques [J]. Corros. Sci., 2010, 52: 2819 |
| 88 | De Meo D, Diyaroglu C, Zhu N, et al. Modelling of stress-corrosion cracking by using peridynamics [J]. Int. J. Hydrog. Energy, 2016, 41: 6593 |
| 89 | De Meo D, Russo L, Oterkus E, et al. Peridynamics for predicting pit-to-crack transition [A]. 58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference [C]. Grapevine: American Institute of Aeronautics and Astronautics, 2017: 0568 |
| 90 | Li S M, Chen Z G, Wang F, et al. Analysis of corrosion-induced diffusion layer in ZK60A magnesium alloy [J]. J. Electrochem. Soc., 2016, 163: C784 |
| 91 | Shi C X, Gong Y, Yang Z G, et al. Peridynamic investigation of stress corrosion cracking in carbon steel pipes [J]. Eng. Fract. Mech., 2019, 219: 106604 |
| 92 | Chen Z G, Jafarzadeh S, Zhao J M, et al. A coupled mechano-chemical peridynamic model for pit-to-crack transition in stress-corrosion cracking [J]. J. Mech. Phys. Sol., 2021, 146: 104203 |
| 93 | Council N R. Research Opportunities in Corrosion Science and Engineering [M]. Washington: The National Academies Press, 2011: 120 |
| 94 | Xia D H, Ji Y Y, Mao Y C, et al. Localized corrosion mechanism of 2024 aluminum alloy in a simulated dynamic seawater/air interface [J]. Acta Metall. Sin., 2022, DOI: 10.11900/0412.1961.2022.00196 |
| 94 | 夏大海, 计元元, 毛英畅 等. 2024铝合金在模拟动态海水/大气界面环境中的局部腐蚀机制 [J]. 金属学报, 2022, DOI: 10.11900/0412.1961.2022.00196 |
| 95 | Mao Y C, Zhu Y, Sun S K, et al. Localized corrosion of 5083 Al-alloy in simulated marine splash zone [J]. J. Chin. Soc. Corr. Prot., 2022, DOI: 10.11902/1005.4537.2022.162 |
| 95 | 毛英畅, 祝 钰, 孙圣凯 等. 5083铝合金在模拟海洋浪花飞溅区的局部腐蚀行为 [J]. 中国腐蚀与防护学报, 2022, DOI: 10.11902/1005.4537.2022.162 |
| 96 | Liu W, Wang J. Environmental impact of material corrosion research progress in marine splash zone [J]. J. Chin. Soc. Corr. Prot., 2010, 30: 504 |
| 96 | 刘 薇, 王 佳. 海洋浪溅区环境对材料腐蚀行为影响的研究进展 [J]. 中国腐蚀与防护学报, 2010, 30: 504 |
/
| 〈 |
|
〉 |
