Abstract
The phase-field fracture method (PFM) requires an extremely fine mesh to accurately capture the crack topology, which is computationally expensive. In this work, a new adaptive mesh refinement method is proposed for phase-field fracture. Based on the phase field increment, a volume weighted Quickselect algorithm is used to determine the coarsen region and the refined region. The speed of the crack propagation is predicted to control the size of the refined region, which reduces unnecessary degrees of freedom. Several benchmark numerical examples are simulated and the results demonstrate the efficiency and accuracy of the proposed method. In the numerical examples, the computational time using this method is reduced by about 90% compared with the standard PFM.
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Notes
If the problem is static, the crack speed is defined as the ratio of the change in crack length before and after the time step to the length of the time step.
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This work was supported by the National Fundamental Research Funds of China (JCKY2021209B016).
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Xie, K., Zhang, R., Li, Z. et al. Adaptive method for phase-field fracture using a volume weighted Quickselect algorithm. Int J Fract 242, 247–263 (2023). https://doi.org/10.1007/s10704-023-00718-7
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DOI: https://doi.org/10.1007/s10704-023-00718-7