Abstract
In the present paper, we investigate the influence of corrosion driving forces and interfacial toughness for a coated material subjected to mechanical loading. If the protective coating is cracked, the substrate material may become exposed to a corrosive media. For a stress corrosion sensitive substrate material, this may lead to detrimental crack growth. A crack is assumed to grow by anodic dissolution, inherently leading to a blunt crack tip. The evolution of the crack surface is modelled as a moving boundary problem using an adaptive finite element method. The rate of dissolution along the crack surface in the substrate is assumed to be proportional to the chemical potential, which is function of the local surface energy density and elastic strain energy density. The surface energy tends to flatten the surface, whereas the strain energy due to stress concentration promotes material dissolution. The influence of the interface energy density parameter for the solid–fluid combination, interface corrosion resistance and stiffness ratios between coating and substrate is investigated. Three characteristic crack shapes are obtained; deepening and narrowing single cracks, branched cracks and sharp interface cracks. The crack shapes obtained by our simulations are similar to real sub-coating cracks reported in the literature.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
ABAQUS User’s Manual, Version 6.7 (2007) ABAQUS, Inc., Dassault Systé mes
Asaro RJ, Tiller WA (1972) Interface morphology development during stress corrosion cracking: part I. Via surface diffusion. Metall Trans 3: 1789–1796
Bjerkén C (2010) The influence of biaxial loading on branching of a dissolution driven stress corrosion crack. Eng Fract Mech. doi:10.1016/j.engfracmech.2010.03.026
Dundurs J (1969) Edge-bonded dissimilar orthogonal elastic wedges. J Appl Mech 36: 650–652
Grinfeld M (1986) Instability of the separation boundary between a non-hydrostatically stressed elastic body and a melt. Sov Phys Dokl 31: 831–834
Jivkov AP, Ståhle P (2002) Strain-driven corrosion crack growth a pilot study of intergranular stress corrosion cracking. Eng Fract Mech 69: 2095–2111
Jivkov AP (2004) Fatigue corrosion crack extension across the interface of an elastic bi-material. Eng Fract Mech 71: 1119–1133
Kim K-S, Hurtado JA, Tan H (1999) Evolution of a surface-roughness spectrum caused by stress in nanometer-scale chemical etching. Phys Rev 83: 3872–3875
Shewchuk JR (2002) Delaunay refinement algorithms for triangular mesh generation. Comp Geom Theor Appl 22: 21–74
Sopok S, Rickard C, Dunn S (2005) Thermal-chemical-mechanical gun bore erosion of an advanced artillery system part one: theories and mechanisms. Wear 258: 659–670
Sopok S, Rickard C, Dunn S (2005) Thermal-chemical-mechanical gun bore erosion of an advanced artillery system part one: modelling and predictions. Wear 258: 671–683
Srolovitz DJ (1989) On the stability of surfaces of stressed solids. Acta Metall 37: 621–625
Ståhle P, Bjerkén C, Jivkov AP (2007) On dissolution driven crack growth. Int J Solids Struct 44: 1880–1890
Tada H, Paris PC, Irwin GR (2000) Stress analysis of cracks handbook, 3rd edn. ASME Press, New York, p 613
Underwood JH, Witherell MD, Sopok S, McNeil JC, Mulligan CP, Vigilante GN (2004) Thermomechanical modeling of transient thermal damage in cannon bore materials. Wear 257: 992–998
Underwood JH, Vigilante GN, Mulligan CP (2007) Review of thermo-mechanical cracking and wear mechanisms in large caliber guns. Wear 263: 1616–1621
Acknowledgments
C. Bjerkén was financially supported by the Swedish Research Council, (VR 50562401-02,50562402- 02). This support is greatly acknowledged. M. Ortiz would like to acknowledge the support of the United States Army Research office through the award: W911NF-06-0421 Mod/Amend#: P0001.
Open Access
This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Bjerkén, C., Ortiz, M. Evolution of anodic stress corrosion cracking in a coated material. Int J Fract 165, 211–221 (2010). https://doi.org/10.1007/s10704-010-9514-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10704-010-9514-5