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Uniform stresses inside two hyperbolic inhomogeneities

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Abstract

We prove that the internal stresses inside two hyperbolic elastic inhomogeneities can indeed remain uniform when the matrix is subjected to uniform remote anti-plane and in-plane stresses. Conditions leading to internal uniform stresses are established rigorously for both anti-plane and plane elasticity. Once these conditions are satisfied, the internal uniform stresses inside the two hyperbolic inhomogeneities are determined explicitly.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant No. 11272121) and through 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, AB, T6G 1H9, Canada

    Peter Schiavone

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  1. Xu Wang
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  2. Peter Schiavone
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Correspondence to Xu Wang or Peter Schiavone.

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Wang, X., Schiavone, P. Uniform stresses inside two hyperbolic inhomogeneities. Z. Angew. Math. Phys. 71, 83 (2020). https://doi.org/10.1007/s00033-020-01303-x

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  • DOI: https://doi.org/10.1007/s00033-020-01303-x

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