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Peridynamic modelling of impact damage in three-point bending beam with offset notch

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Abstract

The nonlocal peridynamic theory has been proven to be a promising method for the material failure and damage analyses in solid mechanics. Based upon the integrodifferential equations, peridynamics enables predicting the complex fracture phenomena such as spontaneous crack nucleation and crack branching, curving, and arrest. In this paper, the bond-based peridynamic approach is used to study the impact damage in a beam with an offset notch, which is widely used to investigate the mixed I-II crack propagation in brittle materials. The predictions from the peridynamic analysis agree well with available experimental observations. The numerical results show that the dynamic fracture behaviors of the beam under the impact load, such as crack initiation, curving, and branching, rely on the location of the offset notch and the impact speed of the drop hammer.

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Authors and Affiliations

  1. School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, 210094, China

    Ning Liu

  2. Department of Mechanical Engineering, Michigan State University, East Lansing, 48823, USA

    Dahsin Liu & Wu Zhou

Authors
  1. Ning Liu
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  2. Dahsin Liu
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  3. Wu Zhou
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Correspondence to Ning Liu.

Additional information

Project supported by the Natural Science Foundation of Jiangsu Province (No.BK20140789) and the Fundamental Research Funds for the Central Universities (No. 30915118826)

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Liu, N., Liu, D. & Zhou, W. Peridynamic modelling of impact damage in three-point bending beam with offset notch. Appl. Math. Mech.-Engl. Ed. 38, 99–110 (2017). https://doi.org/10.1007/s10483-017-2158-6

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  • DOI: https://doi.org/10.1007/s10483-017-2158-6

Keywords

Chinese Library Classification

2010 Mathematics Subject Classification

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