Finite element calculation of crack propagation in type 304 stainless steel in diluted sulphuric acid solutions

Gavrilov, Serguei; Vankeerberghen, Marc; Nelissen, Gert; Deconinck, Johan

doi:10.1016/j.corsci.2006.06.025

Cited by 43 publications

(15 citation statements)

References 8 publications

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“…Finite element method, Galerkin method, 62 is used for space discretization while Backwards differentiation formula (BDF) method 63 is used for the time integration of the governing partial differential Eqs (17,18,21,(24)(25)(26)(27)(28). Triangular Lagrangian mesh elements were chosen to discretize the space.…”

Section: Methodsmentioning

confidence: 99%

“…(21) coupled with the governing Eqs. (18) and (24)(25)(26)(27)(28). The diffusivity D i is a function of the order parameter η.…”

Section: Bulk Free Energy Densitymentioning

confidence: 99%

“…These numerical models can be divided according to the method in which a moving interface is incorporated in their models. Several steady state 9,10,[13][14][15][16][17][18] and transient state [19][20][21][22][23][24][25][26][27][28] models have been developed over the years that did not allow for changes in the shape and dimensions of the pits/crevices as corrosion proceeds.…”

Section: Introductionmentioning

confidence: 99%

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Phase-field model of pitting corrosion kinetics in metallic materials

Ansari

Xiao

et al. 2018

npj Comput Mater

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Pitting corrosion is one of the most destructive forms of corrosion that can lead to catastrophic failure of structures. This study presents a thermodynamically consistent phase field model for the quantitative prediction of the pitting corrosion kinetics in metallic materials. An order parameter is introduced to represent the local physical state of the metal within a metal-electrolyte system. The free energy of the system is described in terms of its metal ion concentration and the order parameter. Both the ion transport in the electrolyte and the electrochemical reactions at the electrolyte/metal interface are explicitly taken into consideration. The temporal evolution of ion concentration profile and the order parameter field is driven by the reduction in the total free energy of the system and is obtained by numerically solving the governing equations. A calibration study is performed to couple the kinetic interface parameter with the corrosion current density to obtain a direct relationship between overpotential and the kinetic interface parameter. The phase field model is validated against the experimental results, and several examples are presented for applications of the phase-field model to understand the corrosion behavior of closely located pits, stressed material, ceramic particles-reinforced steel, and their crystallographic orientation dependence. INTRODUCTIONCorrosion is the gradual destruction of materials (usually metallic materials) via chemical and/or electrochemical reaction with their environment. It costs about 3.1% of the gross domestic product (GDP) in the United States, which is much more than the cost of all natural disasters combined. Localized corrosion, such as pitting corrosion, is one of the most destructive forms of corrosion; it leads to the catastrophic failure of structures and raises both human safety and financial concerns. 1-3 Pitting corrosion of stainless steel usually occurs in two different stages: (1) pit initiation from passive film breakage 4-6 and (2) pit growth. 2,3,[7][8][9][10][11][12] In this study, we focused on the development of a phase-field modeling capability to study pit growth by considering both anodic and cathodic reactions.In the past few decades, great efforts have been made to develop numerical models for pitting corrosion. The moving interface and the electrical double layer at the metal/electrolyte interface are the two challenging problems faced by most of these numerical models. These numerical models can be divided according to the method in which a moving interface is incorporated in their models. Several steady state 9,10,13-18 and transient state 19-28 models have been developed over the years that did not allow for changes in the shape and dimensions of the pits/crevices as corrosion proceeds.Recent advances in numerical techniques, such as the finite element method, the finite volume method, the arbitrary Lagrangian-Eulerian method, the mesh-free method, and the level set method have encouraged researchers to model the evolving morphology...

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Section: Methodsmentioning

confidence: 99%

“…(21) coupled with the governing Eqs. (18) and (24)(25)(26)(27)(28). The diffusivity D i is a function of the order parameter η.…”

Section: Bulk Free Energy Densitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Phase-field model of pitting corrosion kinetics in metallic materials

Ansari

Xiao

et al. 2018

npj Comput Mater

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show abstract

“…Some other contributions in the context of sharp interface methods are: the work of [8] to study SCC, in which the average current density (computed from the transport equation) is used as a criterion to model the crack growth. However the shape of the crack front must be predefined and it is difficult to simulate complex dissolution morphologies.…”

Section: Introductionmentioning

confidence: 99%

A phase field method for modeling anodic dissolution induced stress corrosion crack propagation

et al. 2018

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The phase field method is a powerful tool for studying microstructural evolution in various domains of material sciences, including phase change, initiation and propagation of fracture. In this work, a new formulation is developed based on the phase field method for modeling stress corrosion cracking (SCC) induced by anodic dissolution. This method was applied for modelling SCC of an aluminum alloy (2xxx series) in a saline medium (NaCl), which allows considering the effects of both electrochemical and mechanical processes. The classical phase transition model for material dissolution is coupled with the mechanical problem in a robust manner, providing an efficient tool for studying the competition between electrochemical and mechanical contributions to fracture. A numerical implementation based on finite elements is elaborated. The numerical results are compared to experimental data obtained by in situ microtomography.

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“…The NPE is a mass conservation equation that describes the motion of charged chemical species in a fluid under the effect of concentration gradients (diffusion), electric field (migration) and fluid velocity (convection). In this regard, the flux i N in [mol/(m 2 /s)] of the generic species 'i' can be written as (Gavrilov et al, 2007; Chen and Bobaru, 2015) Therefore, the governing equation used to predict the motion of metal cations within the electrolyte solution is given by the following modified version of the Nernst-…”

Section: Peridynamic Modelling Of Pitting Corrosionmentioning

confidence: 99%

Finite element implementation of a peridynamic pitting corrosion damage model

Meo

Öterkuş

2017

Ocean Engineering

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Despite the significant improvements in the understanding of pitting corrosion, many aspects of this phenomenon remain unclear and corrosion rate prediction based on experimental data remains difficult. Experimental measurements of corrosion rates under different electrochemical conditions can be complex and time consuming, and the conclusions are limited to the timescale and the conditions in which experiments have been carried out. In order to overcome these limitations, numerical approaches can be a valuable complement. Hence, in this study a new numerical model based on peridynamics to predict pitting corrosion damage is developed. The developed model is implemented in a commercial finite element software and it allows for the reproduction of realistic pitting morphologies, modelling of microstructural effects such as the presence of intermetallic particles and the reduction of the computational cost of the simulations. In conclusion, the results of this study shows that the peridynamic models can be helpful in failure analysis and design of new corrosion-resistant materials.

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Finite element calculation of crack propagation in type 304 stainless steel in diluted sulphuric acid solutions

Cited by 43 publications

References 8 publications

Phase-field model of pitting corrosion kinetics in metallic materials

Phase-field model of pitting corrosion kinetics in metallic materials

A phase field method for modeling anodic dissolution induced stress corrosion crack propagation

Finite element implementation of a peridynamic pitting corrosion damage model

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