A method of studying the excitation of steady harmonic oscillations in a composite, wedge-like region (Q1820003)

An approach is described, enabling the stress-deformation state of a composite elastic wedge to be studied in the mode of steady harmonic oscillations, when oscillating stresses distributed in some region act on the edge of the wedge. The solution of the problem is constructed for every wedge in the form of a superposition of solutions of the problems for elastic half-spaces whose boundaries intersect at the required angle. The application of the proposed method is illustrated by solving a model problem of antiplane oscillations of a composite elastic wedge. Some numerical results are given. The method makes it possible to use a unified approach to solving problems in a more general (two- and three- dimensional) formulation.