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A concentrated couple near two non-elliptical inclusions with internal uniform hydrostatic stresses

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Abstract

We employ conformal mapping techniques to study the existence of internal uniform hydrostatic stresses inside two non-elliptical inclusions when the surrounding matrix is simultaneously subjected to a concentrated couple and remote uniform in-plane stresses. The unknown complex coefficients appearing in the corresponding mapping function can be determined analytically for a given pair of loading, one material and three geometric parameters. This allows us to subsequently identify the shapes of the two inclusions. Our analysis further reveals that the shapes of the inclusions depend on the concentrated couple, whereas the corresponding internal uniform hydrostatic stresses do not.

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Authors and Affiliations

  1. School of Mechanical and Power Engineering, East China University of Science and Technology, 130 Meilong Road, Shanghai, 200237, China

    Xu Wang & Liang Chen

  2. Department of Mechanical Engineering, 10-203 Donadeo Innovation Centre for Engineering, University of Alberta, Edmonton, AB , T6G 1H9, Canada

    Peter Schiavone

Authors
  1. Xu Wang
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  2. Liang Chen
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  3. Peter Schiavone
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Correspondence to Xu Wang or Peter Schiavone.

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Wang, X., Chen, L. & Schiavone, P. A concentrated couple near two non-elliptical inclusions with internal uniform hydrostatic stresses. Z. Angew. Math. Phys. 69, 5 (2018). https://doi.org/10.1007/s00033-017-0899-0

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  • DOI: https://doi.org/10.1007/s00033-017-0899-0

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