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Dynamic stress concentrations in thick plates with two holes based on refined theory

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Abstract

Based on complex variables and conformal mapping, the elastic wave scattering and dynamic stress concentrations in the plates with two holes are studied by the refined dynamic equation of plate bending. The problem to be solved is changed to a set of infinite algebraic equations by an orthogonal function expansion method. As examples, under free boundary conditions, the numerical results of the dynamic moment concentration factors in the plates with two circular holes are computed. The results indicate that the parameters such as the incident wave number, the thickness of plates, and the spacing between holes have great effects on the dynamic stress distributions. The results are accurate because the refined equation is derived without any engineering hypothese.

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Authors and Affiliations

  1. School of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou, 310018, P. R. China

    Chuan-ping Zhou  (周传平)

  2. College of Civil Science and Engineering, Yangzhou University, Yangzhou, 225127, Jiangsu Province, P. R. China

    Chao Hu  (胡 超)

  3. College of Engineering, University of California, Berkeley, 94720, USA

    F. Ma

  4. College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin, 150001, P. R. China

    Dian-kui Liu  (刘殿魁)

Authors
  1. Chuan-ping Zhou  (周传平)
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  2. Chao Hu  (胡 超)
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  3. F. Ma
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  4. Dian-kui Liu  (刘殿魁)
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Corresponding author

Correspondence to Chao Hu  (胡 超).

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 51378451 and 51378245)

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Zhou, Cp., Hu, C., Ma, F. et al. Dynamic stress concentrations in thick plates with two holes based on refined theory. Appl. Math. Mech.-Engl. Ed. 35, 1591–1606 (2014). https://doi.org/10.1007/s10483-014-1883-6

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  • DOI: https://doi.org/10.1007/s10483-014-1883-6

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Chinese Library Classification

2010 Mathematics Subject Classification

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