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Interaction effects on heat conduction and thermal stress in an infinite elastic plane with two circular holes

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Abstract

Numerous researches have focused on the physical behavior of an elastic material in the vicinity of a single hole under the assumption that the interaction effects arising from the introduction of multiple holes remain negligible if the holes are placed sufficiently far from each other. In an effort to understand hole interaction effects on heat conduction and thermal stress, we consider the case when two circular holes are embedded in an infinite elastic material and use complex variable methods together with numerical analysis to obtain solutions describing temperature and elastic fields in the vicinity of the two circular holes. The results indicate that the interaction effects on temperature distribution and stress strongly depend on the relative size of the two holes and the distance placed between them but not on the actual size of the holes.

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Authors and Affiliations

  1. College of Mechanics and Materials, Hohai University, Nanjing, 211100, China

    Kun Song & Deshun Yin

  2. School of Civil Engineering and Transportation, South China University of Technology, Guangzhou, 510641, China

    Haibing Yang

  3. Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta, T6G 1H9, Canada

    P. Schiavone

Authors
  1. Kun Song
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  2. Deshun Yin
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  3. Haibing Yang
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  4. P. Schiavone
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Corresponding author

Correspondence to P. Schiavone.

Additional information

Citation: SONG, K., YIN, D. S., YANG, H. B., and SCHIAVONE, P. Interaction effects on heat conduction and thermal stress in an infinite elastic plane with two circular holes. Applied Mathematics and Mechanics (English Edition) (2021) https://doi.org/10.1007/s10483-021-2695-7

Project supported by the National Natural Science Foundation of China (No. 11902116), the China Postdoctoral Science Foundation (No. 2020M671313), and the Natural Sciences and Engineering Research Council of Canada (No. RGPIN 155112)

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Song, K., Yin, D., Yang, H. et al. Interaction effects on heat conduction and thermal stress in an infinite elastic plane with two circular holes. Appl. Math. Mech.-Engl. Ed. 42, 223–234 (2021). https://doi.org/10.1007/s10483-021-2695-7

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  • DOI: https://doi.org/10.1007/s10483-021-2695-7

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Chinese Library Classification

2010 Mathematics Subject Classification

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