An extended finite element model coupled with level set method for stable pitting corrosion

Vagbharathi, AS and Gopalakrishnan, S (2014) An extended finite element model coupled with level set method for stable pitting corrosion. In: PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 891-89 . pp. 254-260.

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Abstract

Mass balance between metal and electrolytic solution, separated by a moving interface, in stable pit growth results in a set of governing equations which are solved for concentration field and interface position (pit boundary evolution), which requires only three inputs, namely the solid metal concentration, saturation concentration of the dissolved metal ions and diffusion coefficient. A combined eXtended Finite Element Model (XFEM) and level set method is developed in this paper. The extended finite element model handles the jump discontinuity in the metal concentrations at the interface, by using discontinuous-derivative enrichment formulation for concentration discontinuity at the interface. This eliminates the requirement of using front conforming mesh and re-meshing after each time step as in conventional finite element method. A numerical technique known as level set method tracks the position of the moving interface and updates it over time. Numerical analysis for pitting corrosion of stainless steel 304 is presented. The above proposed method is validated by comparing the numerical results with experimental results, exact solutions and some other approximate solutions.

Item Type:	Journal Article
Publication:	PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Series.:	Advanced Materials Research
Publisher:	TRANS TECH PUBLICATIONS LTD
Additional Information:	copyright for this article belongs to ROYAL SOC, 6-9 CARLTON HOUSE TERRACE, LONDON SW1Y 5AG, ENGLAND
Keywords:	Pitting corrosion; Growth model; Extended finite element model; Level set
Department/Centre:	Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited:	19 Aug 2014 09:17
Last Modified:	19 Aug 2014 09:17
URI:	http://eprints.iisc.ac.in/id/eprint/49569

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