An Extended Finite Element Model of Crevice and Pitting Corrosion

A sharp interface model formulation is developed for simulating the electrochemical environment in crevices/pits due to galvanic corrosion in aqueous media. The concentration of ionic species and the electrical potential in the crevice is established using the non-dimensionalized Nernst-Planck equations along with the assumption of local electro-neutrality. The crevice/pit interface fluxes are defined in terms of the cathodic and anodic current densities using Butler-Volmer kinetics. The extended finite element method is used to discretize the governing equations and the level set function to describe the interface morphology independent of the underlying finite element mesh. The advantage of this formulation is that it eliminates the need for cumbersome mesh generation and remeshing when the interface morphology changes. Numerical investigations of steady-state intergranular crevice corrosion in idealized Al-Mg alloy microstructures in two-dimensions are conducted to establish the viability of the formulation. Simulation results predict large pH and chloride concentration within the crevice environment, which leads us to the conclusion that chemical reactions and precipitation play a prominent role during crevice corrosion.Copyright © 2015 by ASME

[1]  F. Mansfeld,et al.  An evaluation of the electrochemical frequency modulation (EFM) technique , 2006 .

[2]  A. S. Vagbharathi,et al.  An extended finite-element model coupled with level set method for analysis of growth of corrosion pits in metallic structures , 2014, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[3]  Stefan Scheiner,et al.  Stable pitting corrosion of stainless steel as diffusion-controlled dissolution process with a sharp moving electrode boundary , 2007 .

[4]  W. Aquino,et al.  Changes in electrodic reaction rates due to elastic stress and stress-induced surface patterns , 2013 .

[5]  S. Sharland,et al.  A mathematical model of crevice and pitting corrosion—I. The physical model , 1988 .

[6]  N. Laycock,et al.  Computer Simulation of Single Pit Propagation in Stainless Steel under Potentiostatic Control , 2001 .

[7]  Ziguang Chen,et al.  Peridynamic modeling of pitting corrosion damage , 2015 .

[8]  Santanu Chaudhuri,et al.  Predictive modeling of localized corrosion: An application to aluminum alloys , 2011 .

[9]  R. Newman,et al.  Perforated Covers for Propagating Pits , 1998 .

[10]  R. Newman,et al.  Temperature dependence of pitting potentials for austenitic stainless steels above their critical pitting temperature , 1998 .

[11]  G. Song The Grand Challenges in Electrochemical Corrosion Research , 2014, Front. Mater..

[12]  B. Malki,et al.  Influence of the Alloying Elements on Pitting Corrosion of Stainless Steels : A Modeling Approach , 2008 .

[13]  M. Dargusch,et al.  Review of Recent Developments in the Field of Magnesium Corrosion , 2015 .

[14]  Stefan Scheiner,et al.  Finite Volume model for diffusion- and activation-controlled pitting corrosion of stainless steel , 2009 .

[15]  Wilkins Aquino,et al.  Electroneutrality and ionic interactions in the modeling of mass transport in dilute electrochemical systems , 2011 .

[16]  Wilkins Aquino,et al.  A numerical framework for the modeling of corrosive dissolution , 2012 .

[17]  S. Sharland A mathematical model of crevice and pitting corrosion. II: the mathematical solution , 1988 .

[18]  Mircea Grigoriu,et al.  Stochastic reduced order models for uncertainty quantification of intergranular corrosion rates , 2014 .

[19]  Alex M. Andrew,et al.  Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science (2nd edition) , 2000 .

[20]  Li Yuan-hui,et al.  Diffusion of ions in sea water and in deep-sea sediments , 1974 .

[21]  R. Oltra,et al.  Influence of aeration on the localized trenching on aluminium alloys , 2010 .

[22]  J. Walton Mathematical modeling of mass transport and chemical reaction in crevice and pitting corrosion , 1990 .

[23]  S. M. Sharland,et al.  A finite-element model of the propagation of corrosion crevices and pits , 1989 .

[24]  D. Hoeppner MODELING PITTING CORROSION FATIGUE : PIT GROWTH AND PIT / CRACK TRANSITION ISSUES , 2010 .

[25]  S. Lyon The fundamentals of corrosion. 3rd edn.: By J. C. Scully. Pp. 226. Pergamon Press, Oxford. 1990. Hardback £20.00, US $32.00; paperback £10.00, US $16.00 , 1991 .

[26]  Ted Belytschko,et al.  A finite element method for crack growth without remeshing , 1999 .

[27]  G. Song,et al.  Corrosion mechanisms of magnesium alloys , 1999 .

[28]  R. Alkire,et al.  The Location of Cathodic Reaction during Localized Corrosion , 1979 .

[29]  Ted Belytschko,et al.  Elastic crack growth in finite elements with minimal remeshing , 1999 .

[30]  Ravindra Duddu,et al.  Numerical modeling of corrosion pit propagation using the combined extended finite element and level set method , 2014 .