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Fracture Process and Failure Mode of Brazilian Discs with Cracks of Different Angles: A Numerical Study

Author

Listed:
  • Xiaoyan Luo

    (School of Resources and Safety Engineering, Central South University, Changsha 410083, China
    College of Urban and Rural Construction, Shaoyang University, Shaoyang 422099, China)

  • Guoyan Zhao

    (School of Resources and Safety Engineering, Central South University, Changsha 410083, China)

  • Peng Xiao

    (School of Resources and Safety Engineering, Central South University, Changsha 410083, China)

  • Wengang Zhao

    (Yunnan Energy Investment New Energy Industrial Park Investment Development Co., Ltd., Kunming 650501, China)

Abstract

In order to determine the effect of internal cracks on the tensile failure of materials, a hybrid finite–discrete element method was used to analyze the Brazilian disc test with cracks of different angles. When the pre-crack angle is between 0° and 60°, the wing crack is initiated from the pre-crack end. When the pre-crack is 90°, the crack initiated from the pre-crack center. When the pre-crack angle is between 0° and 60°, the maximum principal stress and plastic strain are concentrated at the pre-crack end. When the pre-crack angle is 90°, the maximum principal stress and plastic strain are concentrated in the pre-crack center. As the crack angle increased from 0° to 90°, the failure mode of Brazilian discs with cracks transits from splitting into two parts to splitting into four parts. The influence of crack length is further studied. When the crack length is less than 5 mm, the crack angle has little influence on the disc failure mode; Brazilian discs with cracks of different angles undergoes splitting failure along the loading axis. When the crack length is larger than 5 mm, the crack angle has a great effect on the disc failure mode.

Suggested Citation

  • Xiaoyan Luo & Guoyan Zhao & Peng Xiao & Wengang Zhao, 2022. "Fracture Process and Failure Mode of Brazilian Discs with Cracks of Different Angles: A Numerical Study," Mathematics, MDPI, vol. 10(24), pages 1-18, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:24:p:4808-:d:1006851
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    References listed on IDEAS

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    1. T. Bai & D. D. Pollard & H. Gao, 2000. "Explanation for fracture spacing in layered materials," Nature, Nature, vol. 403(6771), pages 753-756, February.
    2. Peng Xiao & Diyuan Li & Guoyan Zhao & Meng Liu, 2021. "Experimental and Numerical Analysis of Mode I Fracture Process of Rock by Semi-Circular Bend Specimen," Mathematics, MDPI, vol. 9(15), pages 1-14, July.
    3. Peng Xiao & Guoyan Zhao & Huanxin Liu, 2022. "Failure Transition and Validity of Brazilian Disc Test under Different Loading Configurations: A Numerical Study," Mathematics, MDPI, vol. 10(15), pages 1-19, July.
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