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Peridynamic modeling of pitting corrosion damage
Affiliation:1. Div. of Solid Mechanics, Lund University, Lund, Sweden;2. Centre for Mathematical Sciences, Lund University, Lund, Sweden;1. Department of Naval Architecture, Ocean and Marine Engineering, University of Strathclyde, Glasgow, Lanarkshire, G4 0LZ, UK;2. School of Engineering, University of Aberdeen, Aberdeen, AB24 3UE, UK;1. Department of Aerospace and Mechanical Engineering, The University of Arizona, Tucson, AZ 85721, USA;2. Intel Corporation, Chandler, AZ 85226, USA;1. University of Nebraska-Lincoln, Lincoln, NE 68588, United States;2. Global Research Center, General Electric Company, Niskayuna, NY 12309, United States;1. KERMIT, Department of Mathematical Modelling, Statistics and Bioinformatics, Ghent University, Coupure links 653, B-9000 Ghent, Belgium;2. Laboratório Interdisciplinar de Eletroquímica e Cerâmica (LIEC), Universidade Federal de São Carlos, Chemistry Department, 676, 13565-905 São Carlos, São Paulo, Brazil;3. Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Av. do Trabalhador Sãocarlense, 400, 13560-970 São Carlos, São Paulo, Brazil
Abstract:In this paper we introduce a peridynamic model for the evolution of damage from pitting corrosion capable of capturing subsurface damage. We model the anodic reaction in corrosion processes (in which electroplating is negligible) as an effective peridynamic diffusion process in the electrolyte/solid system coupled with a phase-change mechanism that allows for autonomous evolution of the moving interface. In order to simulate creation of subsurface damage, we introduce a corrosion damage model based on a stochastic relationship that connects the concentration in the metal to the damage of peridynamic mechanical-bonds that are superposed onto diffusion-bonds. We study convergence of this formulation for diffusion-dominated stage. The model leads to formation of a subsurface damage layer, seen in experiments. We validate results against experiments on pit growth rate and polarization data for pitting corrosion. We extend the 1D model to the 2D and 3D, and introduce a new damage-dependent corrosion model to account for broken mechanical bonds that enhance the corrosion rate. This coupled model can predict the pit shape and damage profile in materials with microstructural heterogeneities, such as defects, interfaces, inclusions, and grain boundaries.
Keywords:Corrosion damage  Pitting corrosion  Peridynamics  Diffusion  Material interfaces  Grain boundaries  Microstructural heterogeneity
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