Sage Publications published the article “An inhomogeneous problem for an elastic half-strip: An exact solution” in the journal Mathematics and Mechanics of Solids (Web of Science Q2, Scopus Q2, Impact Factor JCR: 2.040). Among the authors are employees of the Institute of Earthquake Prediction Theory and Mathematical Geophysics of the Russian Academy of Sciences (IEPT RAS): Leading Researcher, D. Sc. (Phys.-Math.) M.D. Kovalenko, Senior Researcher, Cand. Sc. (Phys.-Math.) I.V. Menshova and Senior Researcher, Cand. Sc. (Phys.-Math.) A.P. Kerzhaev.
In the article, in the form of series in Papkovich–Fadle eigenfunctions, exact solutions to two inhomogeneous boundary value problems of the theory of elasticity for a half-strip with free long sides are constructed: (1) the half-strip end is free, (2) the half-strip end is rigidly clamped. First, a solution to the inhomogeneous problem for an infinite strip is constructed. Then, the corresponding solutions for a half-strip are added to this solution, with the help of which the boundary conditions at the end are satisfied. To solve the inhomogeneous problem in a strip, the Papkovich orthogonality relation is used.More“An exact solution of an inhomogeneous problem for an elastic half-strip”