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A Double Coated Circular Inhomogeneity Neutral to an Arbitrary Uniform in-Plane Stress Field

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Abstract

We achieve neutrality of a double coated circular inhomogeneity embedded in an infinite matrix subjected to uniform in-plane stresses at infinity. The introduction of the double coated circular inhomogeneity does not disturb the original uniform in-plane stress distribution in the matrix. Consequently, we obtain exact representations of the effective transverse shear modulus and effective transverse Poisson’s ratio of double coated disk assemblages of various sizes completely replacing the matrix.

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Acknowledgements

The reviewers’ comments and suggestions are highly appreciated. This work is supported by a Discovery Grant from the Natural Sciences and Engineering Research Council of Canada (Grant No: RGPIN – 2017 - 03716115112).

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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

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

    Peter Schiavone

Authors
  1. Xu Wang
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  2. Peter Schiavone
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Contributions

Conceptualization: X.W.; Methodology: X.W., P.S.; Writing - original draft preparation: X.W., P.S.; Writing - review and editing: X.W. and P.S.; Funding acquisition: P.S.

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Correspondence to Xu Wang or Peter Schiavone.

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Wang, X., Schiavone, P. A Double Coated Circular Inhomogeneity Neutral to an Arbitrary Uniform in-Plane Stress Field. J Elast 154, 619–628 (2023). https://doi.org/10.1007/s10659-023-10012-1

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  • DOI: https://doi.org/10.1007/s10659-023-10012-1

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