Abstract
Under study are the boundary value problems that describe the equilibria of two-dimensional elastic bodies with thin weakly curved inclusions in the presence of delamination, which means that there is a crack between the inclusions and an elastic body. Some inequality-type nonlinear boundary conditions are imposed on the crack faces that exclude mutual penetration. This puts the problems into the class of those with unknown contact area. We assume that the inclusions have a contact point, find boundary conditions at the junction point, and justify passage to infinity with respect to the rigidity parameter of the thin inclusion. In particular, we obtain and analyze limit models.
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Funding
The work is supported by the Mathematical Center in Akademgorodok under Agreement no. 075–15–2019–1613 with the Ministry of Science and Higher Education of the Russian Federation.
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Khludnev, A.M., Popova, T.S. The Junction Problem for Two Weakly Curved Inclusions in an Elastic Body. Sib Math J 61, 743–754 (2020). https://doi.org/10.1134/S003744662004014X
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DOI: https://doi.org/10.1134/S003744662004014X