In the journal “Zeitschrift für angewandte Mathematik und Physik” (WoS, Scopus, Q1) publishedby Springer, the article“A boundary value problem in the theory of elasticity for a rectangle: exact solutions” was published. Among the authorsareemployees of IEPT RAS: Leading Researcher, D.Sc. (Phys.-Math.) M.D. Kovalenko, Senior Researcher, Cand. Sc. (Phys.-Math.) I.V. MenshovaandSenior Researcher, Cand. Sc. (Phys.-Math.) A.P. Kerzhaev.

In the article, we derive the formulas that describe the exact solution of the boundary value problem in the theory of elasticity for a rectangle in which two opposite (horizontal) sides are free and stresses are specified (all cases of symmetry relative to the central axes) on the other two sides (rectangle ends). The formulas for a half-strip are also given. The solutions are represented as series in Papkovich–Fadle eigenfunctions whose coefficients are determined from simple formulas.

The research was funded by RFBR and NSFC according to the research project No. **20-51-53021** and the Russian Science Foundation under grant No. **19-71-00094**.

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