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On thin Timoshenko inclusions in elastic bodies with defects

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Abstract

The paper concerns an analysis of equilibrium problems for elastic bodies with elastic Timoshenko inclusion in the presence of defects. Defects are characterized by a positive damage parameter. This parameter is responsible for a connection between defect faces. Asymptotic properties of solutions are investigated with respect to the damage parameters as well as with respect to a rigidity parameter of the inclusions. Limit models are investigated; in particular, different equivalent problem formulations are proposed.

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Acknowledgements

This work was supported by RFBR (project 18-29-10007).

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  1. Lavrentyev Institute of Hydrodynamics of RAS, and Novosibirsk State University, Novosibirsk, Russia

    Alexander Khludnev

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  1. Alexander Khludnev
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Correspondence to Alexander Khludnev.

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Khludnev, A. On thin Timoshenko inclusions in elastic bodies with defects. Arch Appl Mech 89, 1691–1704 (2019). https://doi.org/10.1007/s00419-019-01537-w

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  • DOI: https://doi.org/10.1007/s00419-019-01537-w

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