Abstract
This study presents a hybrid phase-field formulation combining isogeometric analysis with a local refinement multipatch algorithm (VUKIMS algorithm) to predict damage in functionally graded material structures. The power-law index of the Mori–Tanaka mixture rule will impact the critical force point. We have confirmed that this approach is an effective computational tool for functionally graded materials. As a result, the effective size of cubic NURBS elements is half of a length-scale parameter for balancing the achieved accuracy and computational cost in most examples.
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Acknowledgements
The authors acknowledge VLIR-UOS TEAM Project's financial support, VN2017TEA454A103, “An innovative solution to protect Vietnamese coastal riverbanks from floods and erosion”, funded by the Flemish Government.
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Nguyen, K.D., Nguyen-Xuan, H., Abdel Wahab, M. (2022). Crack Propagations in Functionally Graded Material Using a Phase-Field NURBS-Based Finite Element Approach. In: Abdel Wahab, M. (eds) Proceedings of the 4th International Conference on Numerical Modelling in Engineering. NME 2021. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-16-8806-5_11
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