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Isotropic laminated plate containing a coated rigid elliptical inclusion subjected to a rotational moment with constant interfacial and hoop stress resultants

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Abstract

We consider the problem of a rigid elliptical inclusion bonded to an infinite Kirchhoff isotropic laminated plate through a coating layer with two confocal elliptical interfaces. The rigid inclusion is subjected to a rotational moment, while the infinite (plate) matrix surrounding the coated inclusion is subjected to uniform remote membrane stress moments and bending moments. We find that the interfacial and hoop stress resultants are uniformly distributed along the inclusion–coating interface provided a set of four conditions on the rotational moment and remote loading are satisfied for specified material and geometric parameters characterizing the three-phase composite plate.

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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 Peter Schiavone.

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Wang, X., Schiavone, P. Isotropic laminated plate containing a coated rigid elliptical inclusion subjected to a rotational moment with constant interfacial and hoop stress resultants. Acta Mech 229, 3935–3942 (2018). https://doi.org/10.1007/s00707-018-2204-5

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  • DOI: https://doi.org/10.1007/s00707-018-2204-5

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