On factorization in the problem of diffraction of harmonic wave on elastic half infinitive inclusion

The paper is devoted to the factorization of stress strain state of elastic space including half infinitive inclusion. Supposing that elastic inclusion is too thin the problem is reduced to the solution of boundary problem of harmonic wave diffraction on the half infinitive interval. Using the method of Wiener–Hopf and circulant method the boundary problem is reduced to the Wiener–Hopf matrix equation, which is completely solved. This solution allows to get analytical solution of the boundary problem