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A hybrid phase-field isogeometric analysis to crack propagation in porous functionally graded structures

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Abstract

Porosities exist as pores of different sizes within a structure to fabricate lightweight materials and the sintering process. The porous structure gives a lower loading capacity than the perfect design. Crack propagation is also a complicated behavior in this structure. The hybrid phase-field approach is suitable to provide an effective computational tool to model the crack propagation of functionally graded materials with porosity effects. We show the influence of porosity on both the critical force and crack path of the FGM structure. In the framework of isogeometric analysis (IGA), a local refinement multi-patch algorithm based on the Virtual Uncommon-Knot-Inserted Master–Slave (VUKIMS) technique allows us to reduce the computational cost of the phase-field model significantly. The study revealed that cubic NURBS elements with the effective element size of half length-scale parameter could be used to achieve the desired accuracy while maintaining a reasonable computational cost.

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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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Authors and Affiliations

  1. Soete Laboratory, Department of Electrical Energy, Metals, Mechanical Constructions and Systems, Faculty of Engineering and Architecture, Ghent University, Ghent, Belgium

    Khuong D. Nguyen & M. Abdel-Wahab

  2. Department of Engineering Mechanics, Faculty of Applied Sciences, Ho Chi Minh City University of Technology (HCMUT), 268 Ly Thuong Kiet Street, District 10, Ho Chi Minh City, Vietnam

    Khuong D. Nguyen

  3. Vietnam National University Ho Chi Minh City, Linh Trung Ward, Thu Duc District, Ho Chi Minh City, Vietnam

    Khuong D. Nguyen

  4. Faculty of Civil Engineering, Ho Chi Minh City Open University, Ho Chi Minh City, Vietnam

    Cuong-Le Thanh

  5. CIRTech Institute, Ho Chi Minh City University of Technology (HUTECH), Ho Chi Minh City, Vietnam

    H. Nguyen-Xuan

  6. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

    H. Nguyen-Xuan

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  1. Khuong D. Nguyen
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  2. Cuong-Le Thanh
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Nguyen, K.D., Thanh, CL., Nguyen-Xuan, H. et al. A hybrid phase-field isogeometric analysis to crack propagation in porous functionally graded structures. Engineering with Computers 39, 129–149 (2023). https://doi.org/10.1007/s00366-021-01518-0

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