A Linear Elasticity Theory to Analyze the Stress State of an Infinite Layer with a Cylindrical Cavity under Periodic Load

The design of parts machines, mechanisms, structures and foundations, particularly in the aerospace industry, is closely related to definition stress state body. accuracy determining key optimizing use materials. Therefore, it important develop methods achieve such goals. In this work, second main spatial problem elasticity theory solved for a layer with longitudinal cylindrical cavity periodic displacements given on surface layer. solution based generalized Fourier method cavity. To take into account displacements, an additional applied expansion (without cavity) series. general sum these two solutions. reduced infinite system linear algebraic equations, which by reduction method. As result, stress-strain isthmuses from boundaries was obtained. conducted numerical analysis has high fulfilling boundary conditions makes possible assert physical regularity distribution, indicates reliability obtained results. can be determine structures, whose calculation scheme displacement. Numerical results make predict geometric parameters future structure.