Mathematical Modeling of a Symmetric Boundary-Value Problem for a Layer Weakened by a Through Hole with the Ends Covered with a Diaphragm

The authors present a new mathematical model for solving a static symmetric boundary-value problem for a layer weakened by a through hole with ends covered with a diaphragm. A new method based on a system of three singular integral equations is developed and tested numerically. A high-precision numerical analysis shows that as the thickness of the layer increases, relative circumferential stress increases as well. If one of the radii of the elliptical hole decreases, relative circumferential stress also increases. The corresponding graphs are presented.