An adaptive mesh refinement algorithm for phase-field fracture models: Application to brittle, cohesive, and dynamic fracture

Gupta, Akhilesh; Krishnan, U. Meenu; Mandal, Tushar Kanti; Chowdhury, Rajib; Nguyen, Vinh Phu

doi:10.1016/j.cma.2022.115347

Cited by 47 publications

(5 citation statements)

References 65 publications

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“…To address this issue, many researchers usually employ adaptive mesh techniques, as shown in Fig. 4, where a fine mesh is used at the interface and a coarse mesh is applied elsewhere (Li and Kim, 2012;Chen and Shen, 2016;Greenwood et al, 2018;Kim and Kim, 2021;Gupta et al, 2022). This approach enables the precise capture of interface evolutions while reducing computational costs.…”

Section: Phase-field Methodsmentioning

confidence: 99%

Numerical methods to simulate spontaneous imbibition in microscopic pore structures: A review

Zhou,

Guan,

Zhao

et al. 2024

Capillarity

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Spontaneous imbibition, as a fundamental flow phenomenon, is widely utilized in fossil energy production, carbon dioxide and underground hydrogen storage. With the development of computing, the exploration of flow laws of spontaneous imbibition has evolved from macroscopic theoretical models to pore-scale numerical analysis. Currently, the solutions for multiphase flow in pore media mainly consider the volume of fluid and the phase field, and have been classed into level set methods based on macroscopic Navier-Stokes equations and the Shan-Chen, free energy, color gradient, and phase-field methods based on mesoscopic lattice Boltzmann equations. However, no comprehensive review article has summarized the strengths and limitations of these methods. Therefore, this work focuses on critically reviewing and commenting on the fundamentals and limitations of porescale models applied to spontaneous imbibition. In addition, recent works applying these methods are systematically reviewed. Our study aims to provide the scientific community with an expert opinion to understand the basic methods for solving the existing problems of spontaneous imbibition in porous media. Future research directions are suggested, namely, focusing on developing the reconstruction pore medium algorithms, establishing modeling methods for non-stationary states, exploring the flow laws in mixed wetting conditions, linking macroscopic and microscopic flow laws, and developing models for coupled multiphase flow numerical computation with machine learning. Overall, this review provides a comprehensive understanding of spontaneous imbibition simulation methods, promotes a thorough knowledge of spontaneous imbibition in porous media, provides guidance on exploring flow laws, and inspires researchers to give more credit to spontaneous imbibition studies.

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Section: Phase-field Methodsmentioning

confidence: 99%

Numerical methods to simulate spontaneous imbibition in microscopic pore structures: A review

Zhou,

Guan,

Zhao

et al. 2024

Capillarity

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“…The grid should not be overly refined to avoid a substantial increase in computational time due to a large number of grids. Additionally, regions far from the interface need timely coarsening of the grid [146,147].…”

Section: Grand Potential Phase-field Sintering Modelmentioning

confidence: 99%

Phase-Field Simulation of Sintering Process: A Review

Xue,

2024

CMES

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Sintering, a well-established technique in powder metallurgy, plays a critical role in the processing of high melting point materials. A comprehensive understanding of structural changes during the sintering process is essential for effective product assessment. The phase-field method stands out for its unique ability to simulate these structural transformations. Despite its widespread application, there is a notable absence of literature reviews focused on its usage in sintering simulations. Therefore, this paper addresses this gap by reviewing the latest advancements in phase-field sintering models, covering approaches based on energy, grand potential, and entropy increase. The characteristics of various models are extensively discussed, with a specific emphasis on energy-based models incorporating considerations such as interface energy anisotropy, tensor-form diffusion mechanisms, and various forms of rigid particle motion during sintering. Furthermore, the paper offers a concise summary of phase-field sintering models that integrate with other physical fields, including stress/strain fields, viscous flow, temperature field, and external electric fields. In conclusion, the paper provides a succinct overview of the entire content and delineates potential avenues for future research.

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“…The calculation efficiency of this method can be increased by around 30 times over global mesh refinement. Aiming at the problem that the existing adaptive mesh refinement technology cannot accurately simulate crack initiation without a prior local refinement, Gupta et al [64] developed an adaptive mesh refinement algorithm for phase field models using a multi-level mark-unmark strategy. The algorithm utilizes a threshold to mark elements based on effective crack driving energy and reduces the calculation time by 5-50 times as compared to simulations that adopt a priori non-adaptively strategy.…”

Section: Adaptive Mesh Refinement Technologymentioning

confidence: 99%

Applications of Phase Field Methods in Modeling Fatigue Fracture and Performance Improvement Strategies: A Review

Cui

Zhang

2023

Metals

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Fatigue fracture simulation based on phase field methods is a promising numerical approach. As a typical continuum approach, phase field methods can naturally simulate complex fatigue fracture behavior. Moreover, the cracking is a natural result of the simulation without additional fracture criterion. This study first introduced the phase field fracture principle, then reviewed some recent advances in phase field methods for fatigue fracture modeling, and gave representative examples in macroscale, microscale, and multiscale structural simulations. In addition, some strategies to improve the performance of phase field models were summarized from different perspectives. The applications of phase field methods to fatigue failure demonstrate the ability to handle complex fracture behaviors under multiple loading forms and their interactions, and the methods have great potential for development. Finally, an outlook was made in four aspects: loading form, fatigue degradation criterion, coupled crystal plasticity, and performance improvement.

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An adaptive mesh refinement algorithm for phase-field fracture models: Application to brittle, cohesive, and dynamic fracture

Cited by 47 publications

References 65 publications

Numerical methods to simulate spontaneous imbibition in microscopic pore structures: A review

Numerical methods to simulate spontaneous imbibition in microscopic pore structures: A review

Phase-Field Simulation of Sintering Process: A Review

Applications of Phase Field Methods in Modeling Fatigue Fracture and Performance Improvement Strategies: A Review

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