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Timoshenko inclusions in elastic bodies crossing an external boundary at zero angle

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Abstract

The paper concerns an analysis of equilibrium problems for 2D elastic bodies with a thin Timoshenko inclusion crossing an external boundary at zero angle. The inclusion is assumed to be delaminated, thus forming a crack between the inclusion and the body. We consider elastic inclusions as well as rigid inclusions. To prevent a mutual penetration between the crack faces, inequality type boundary conditions are imposed at the crack faces. Theorems of existence and uniqueness are established. Passages to limits are investigated as a rigidity parameter of the elastic inclusion going to infinity.

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Correspondence to A. M. Khludnev.

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Khludnev, A.M., Popova, T.S. Timoshenko inclusions in elastic bodies crossing an external boundary at zero angle. Acta Mech. Solida Sin. 30, 327–333 (2017). https://doi.org/10.1016/j.camss.2017.05.005

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  • DOI: https://doi.org/10.1016/j.camss.2017.05.005

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