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A semi-analytical formula for estimating notch stress field and N-SIF of double edge V-notched orthotropic thin plate

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Abstract

The notch stress intensity factor (N-SIF) is widely used to characterize the notch stress concentration under different crack opening angles. At present, the evaluation formula of notch stress intensity factor is too complicated and inconvenient for engineering applications. Therefore, based on the isotropic V-notch plate, this paper introduces the concept of singular strength factor \(as_{i}\), and further presents the notch stress field and the simple evaluation formula of N-SIF for double edge V-notched orthotropic thin plate. The formula is simple in form and clear in physical meaning. After numerical verification and verification with the evaluation results of traditional literature, the results show that the semi-analytical formula proposed in this paper has a wider application range and can be applied to different materials and loads simultaneously.

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Acknowledgements

The research project is supported by the Fundamental Research Funds for the Central Universities (No. 2021III032JC) and Sanya Science and Education Innovation Park of Wuhan University of Technology (No. 2020KF0038).

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Authors and Affiliations

  1. Key Laboratory of High Performance Ship Technology (Wuhan University of Technology), Ministry of Education, Wuhan, 430063, China

    Wei Shen, Linzhi Xu & Yu Qiu

  2. School of Naval Architecture, Ocean and Energy Power Engineering, Wuhan University of Technology, Wuhan, 430063, China

    Wei Shen, Yuwen Chen, Linzhi Xu & Yu Qiu

  3. Marine Design & Research Institute of China, Shanghai, 200011, China

    Heqi Fu

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  1. Wei Shen
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Correspondence to Linzhi Xu.

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Appendix A

Appendix A

Tables 15 and 16

Table 15 \(p_{1}\) of anisotropic materials for different opening angles [11]
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Table 16 Fitting values of as1 under different geometric sizes, opening angles and materials
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Shen, W., Chen, Y., Fu, H. et al. A semi-analytical formula for estimating notch stress field and N-SIF of double edge V-notched orthotropic thin plate. Arch Appl Mech 92, 1729–1755 (2022). https://doi.org/10.1007/s00419-022-02139-9

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