Forecasting phase-field variable in brittle fracture problems by autoregressive integrated moving average technique

• Autorzy: Nguyen Cuong T. , Le Long H. , Dinh Minh H. , La Ngoc M.

Identyfikatory

DOI

10.24423/cames.2024.1697

• Języki publikacji: EN

Abstrakty

EN

Phase-field modeling is a powerful and versatile computational approach for modeling the evolution of cracks in solids. However, phase-field modeling requires high computational cost for accurately capturing how cracks develop under increasing loads. In brittle fracture mechanics, crack initiation and propagation can be considered as a time series forecasting problem so they can be studied by observing changes in the phase-field variable, which represents the level of material damage. In this paper, we develop a rather simple approach utilizing the autoregressive integrated moving average (ARIMA) technique to predict variations of the phase-field variable in an isothermal, linear elastic and isotropic phase-field model for brittle materials. Time series data of the phase-field variable is extracted from numerical results using coarse finite-element meshes. Two ARIMA schemes are introduced to exploit the structure of the collected data and provide a prediction for changes in phasefield variable when using a finer mesh. This finer mesh gives a better results in terms of accuracy but requires significantly higher computational cost.

Słowa kluczowe

EN

fracture mechanics; brittle fracture; phase-field modelling; time-series forecasting

PL

mechanika pękania; kruche pęknięcie; modelowanie pola twarzy; prognozowanie szeregów czasowych

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Methods in Engineering and Science
• Rocznik: 2024
• Tom: Vol. 31, no. 4
• Strony: 487--506
• Opis fizyczny: Bibliogr. 14 poz., rys., tab., wykr.

Twórcy

autor

Nguyen Cuong T.

• Center for Modeling, Simulation and Imaging in Medicine, Rensselaer PolytechnicInstitute, 110 8th Street, Troy, NY 12180, USA

autor

Le Long H.

• Automotive R&D Center, Bosch Vietnam, 33 Le Duan, Vietnam

autor

Dinh Minh H.

• School of Science, Engineering and Technology, RMIT University Vietnam,Ho Chi Minh City, Vietnam

autor

La Ngoc M.

• School of Science, Engineering and Technology, RMIT University Vietnam,Ho Chi Minh City, Vietnam

Bibliografia

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