Details
| Original language | English |
|---|---|
| Article number | 116708 |
| Number of pages | 27 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 420 |
| Early online date | 3 Jan 2024 |
| Publication status | Published - 15 Feb 2024 |
Abstract
In this paper, a novel virtual element formulation is proposed for phase field modeling of hydrogen assisted cracking (HAC). The multiphysics variational framework is decoupled into three parts which can be solved in a staggered manner, namely, the mechanical, diffusion, and damage sub-problems. The damage and diffusion sub-problems are treated as reaction–diffusion types of equations. The former is subjected to irreversibility constraints while the latter incorporates a transport term to represent the effect of mechanical loading. An efficient super-convergent patch recovery (SPR) scheme is utilized to determine the coefficient of transport term in the hydrogen diffusion equation. Several qualitative and quantitative benchmark problems are considered to validate the proposed framework's performance. The results show excellent agreement with the corresponding FEM and experimental studies. Meanwhile, without loss of numerical accuracy, the VEM outperforms the FEM with regards to CPU time & memory efficiency and exhibits remarkable versatility in the selection of different element types for simulation. Moreover, this work demonstrates the potential of facilitating the VEM to solve real-scale fracture mechanics problems with multi-physics coupling.
Keywords
- Chemo-mechanics coupling, Hydrogen assisted cracking (HAC), Phase field fracture, Super-convergent patch recovery (SPR), Virtual element method (VEM)
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- General Physics and Astronomy
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 420, 116708, 15.02.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Hydrogen assisted cracking using an efficient virtual element scheme
AU - Liu, Tong Rui
AU - Aldakheel, Fadi
AU - Aliabadi, M. H.
N1 - Funding Information: This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors. Meanwhile, Tong-Rui Liu warmly thanks Dr. Chuanjie Cui, Prof. Emilio Martínez-Pañeda and Dr. Tushar Kanti Mandal (Department of Engineering Science, University of Oxford, UK) for sharing their datasets and fruitful discussions.
PY - 2024/2/15
Y1 - 2024/2/15
N2 - In this paper, a novel virtual element formulation is proposed for phase field modeling of hydrogen assisted cracking (HAC). The multiphysics variational framework is decoupled into three parts which can be solved in a staggered manner, namely, the mechanical, diffusion, and damage sub-problems. The damage and diffusion sub-problems are treated as reaction–diffusion types of equations. The former is subjected to irreversibility constraints while the latter incorporates a transport term to represent the effect of mechanical loading. An efficient super-convergent patch recovery (SPR) scheme is utilized to determine the coefficient of transport term in the hydrogen diffusion equation. Several qualitative and quantitative benchmark problems are considered to validate the proposed framework's performance. The results show excellent agreement with the corresponding FEM and experimental studies. Meanwhile, without loss of numerical accuracy, the VEM outperforms the FEM with regards to CPU time & memory efficiency and exhibits remarkable versatility in the selection of different element types for simulation. Moreover, this work demonstrates the potential of facilitating the VEM to solve real-scale fracture mechanics problems with multi-physics coupling.
AB - In this paper, a novel virtual element formulation is proposed for phase field modeling of hydrogen assisted cracking (HAC). The multiphysics variational framework is decoupled into three parts which can be solved in a staggered manner, namely, the mechanical, diffusion, and damage sub-problems. The damage and diffusion sub-problems are treated as reaction–diffusion types of equations. The former is subjected to irreversibility constraints while the latter incorporates a transport term to represent the effect of mechanical loading. An efficient super-convergent patch recovery (SPR) scheme is utilized to determine the coefficient of transport term in the hydrogen diffusion equation. Several qualitative and quantitative benchmark problems are considered to validate the proposed framework's performance. The results show excellent agreement with the corresponding FEM and experimental studies. Meanwhile, without loss of numerical accuracy, the VEM outperforms the FEM with regards to CPU time & memory efficiency and exhibits remarkable versatility in the selection of different element types for simulation. Moreover, this work demonstrates the potential of facilitating the VEM to solve real-scale fracture mechanics problems with multi-physics coupling.
KW - Chemo-mechanics coupling
KW - Hydrogen assisted cracking (HAC)
KW - Phase field fracture
KW - Super-convergent patch recovery (SPR)
KW - Virtual element method (VEM)
UR - http://www.scopus.com/inward/record.url?scp=85181770317&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2023.116708
DO - 10.1016/j.cma.2023.116708
M3 - Article
AN - SCOPUS:85181770317
VL - 420
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
M1 - 116708
ER -