A peridynamic model for galvanic corrosion and fracture

Zhao, Jiangming; Jafarzadeh, Siavash; Rahmani, Mohammad; Chen, Ziguang; Kim, Yong-Rak; Bobaru, Florin

doi:10.1016/j.electacta.2021.138968

Cited by 37 publications

(7 citation statements)

References 45 publications

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“…The model above, discretized using the meshfree method, has been verified and validated against experimental results on uniform corrosion in [6], pitting corrosion in [5], crevice corrosion in [7], intergranular corrosion in [9], and galvanic corrosion in [8]. The FCBM solution for the above model has been introduced in [21], where results have been also validated against experiments.…”

Section: Review Of the Peridynamic Model For Corrosionmentioning

confidence: 99%

“…A different approach to modeling pitting corrosion has been introduced by Chen and Bobaru in 2015 [4], and further advanced in [5]. PD models for other types of corrosion have been introduced as well, including: uniform corrosion [6], pitting corrosion with lacy covers [5], crevice corrosion [7], and galvanic corrosion [8], intergranular corrosion [9], and stress-dependent corrosion [6].This peridynamic (PD) model treats the problem as dissolution and diffusion in the solid interface/electrolyte system, rather than just as a diffusion problem with a moving interface, as it has generally been addressed in the past. In this way, the PD corrosion model allows autonomous propagation of the corrosion front, with no need of tracking its location.…”

Section: Introductionmentioning

confidence: 99%

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PeriFast/Corrosion: A 3D Pseudospectral Peridynamic MATLAB Code for Corrosion

Wang

Jafarzadeh

Mousavi

et al. 2023

J Peridyn Nonlocal Model

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We introduce PeriFast/Corrosion, a MATLAB code that uses the fast convolution-based method (FCBM) for peridynamic (PD) models of corrosion damage. The FCBM uses the convolutional structure of PD equations and employs the Fast Fourier transform (FFT) to achieve a computational complexity of 𝑂(𝑁𝑙𝑜𝑔𝑁 ). PeriFast/Corrosion has significantly lower memory allocation needs, 𝑂(𝑁), compared with, for example, the meshfree method with direct summation for PD models that requires 𝑂(𝑁 2 ). The PD corrosion model and the fast convolution-based method are briefly reviewed and the detailed structure of the code is presented. The code efficiently solves 3D uniform corrosion (in copper) and pitting corrosion (in stainless steel) problems with multiple growing and merging pits, set in a complicated shape sample. Discussions on possible immediate extensions of the code to other corrosion damage problems are provided. PeriFast/Corrosion is a branch of PeriFast codes and is freely available on GitHub [1].

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Section: Review Of the Peridynamic Model For Corrosionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

PeriFast/Corrosion: A 3D Pseudospectral Peridynamic MATLAB Code for Corrosion

Wang

Jafarzadeh

Mousavi

et al. 2023

J Peridyn Nonlocal Model

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“…To obtain smoother pits, we need a higher resolution than that used in the uniform corrosion example. The discretization resolution along the three Cartesian directions is 2 8 , 2 8 , 2 6 which results in In this example, the corrosion environment is the same as the experiments in [29]. The metal sample is 304L stainless steel and it is surrounded by 0.1 M NaCl solution.…”

Section: A Pitting Corrosion Example In 3d With Multiple Growing and ...mentioning

confidence: 99%

PeriFast/Corrosion: a 3D pseudo-spectral peridynamic Matlab code for corrosion

Wang

Jafarzadeh

Bobaru

2022

Preprint

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We introduce PeriFast/Corrosion, a MATLAB code that uses the fast convolution-based method (FCBM) for peridynamic (PD) models of corrosion damage. The FCBM uses the convolutional structure of PD equations and employs the Fast Fourier transform (FFT) to achieve a computational complexity of 𝑂(𝑁𝑙𝑜𝑔𝑁). PeriFast/Corrosion has significantly lower memory allocation needs, 𝑂(𝑁), compared with, for example, the meshfree method with direct summation for PD models that requires 𝑂(𝑁2). The PD corrosion model and the fast convolution-based method are briefly reviewed and the detailed structure of the code is presented. The code efficiently solves 3D uniform corrosion (in copper) and pitting corrosion (in stainless steel) problems with multiple growing and merging pits, set in a complicated shape sample. Discussions on possible immediate extensions of the code to other corrosion damage problems are provided. PeriFast/Corrosion is a branch of PeriFast codes and is freely available on GitHub [1].

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“…The PD models have been frequently used in many practical problems. A range of cutting-edge industrial applications in composite material deformation [4,5,6,7], corrosion [8,9,10,11,12], damage prediction [13,14,15,16,17] and crack simulation for a variety of materials [18,19,20,21,22] can be found in the literature.…”

Section: Introductionmentioning

confidence: 99%

A fast computational framework for the linear bond-based peridynamic model

Liu,

Tian,

Don

et al. 2023

Preprint

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The non-locality property of peridynamic poses significant computational challenges, especially for problems with discontinuous solutions (e.g., cracks). An efficient matrix-structure-based fast (MSBF) algorithm is proposed for the meshfree method (MF) in solving the linearized bond-based peridynamic models on a rectangular Cartesian computational domain with a uniform mesh. Taking full advantage of the intrinsic Teoplitz structure of the block-diagonal stiffness matrix, the fast Fourier transform (FFT) algorithm is utilized to significantly reduce the number of floating point operations (FLOPS) count to achieve a substantial speed up at fine mesh resolutions than the classical matrix-vector multiplication (MVMP) algorithm. Both methods are applied to multi-dimensional static and dynamic problems, including general boundary conditions and unsteady crack propagation, with good results. The MF-MSBF algorithm demonstrates its substantial computational efficiency with greatly reduced CPU times and smaller memory footprint over the MF-MVMP algorithm in multi-dimensional peridynamic simulations with fine meshes.

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A peridynamic model for galvanic corrosion and fracture

Cited by 37 publications

References 45 publications

PeriFast/Corrosion: A 3D Pseudospectral Peridynamic MATLAB Code for Corrosion

PeriFast/Corrosion: A 3D Pseudospectral Peridynamic MATLAB Code for Corrosion

PeriFast/Corrosion: a 3D pseudo-spectral peridynamic Matlab code for corrosion

A fast computational framework for the linear bond-based peridynamic model

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