The Kirsch equations describe the
elasticstresses around the hole in an infinite plate in one directional tension. They are named after
Ernst Gustav Kirsch.
Result
Loading an infinite plate with circular hole of radius a with stress σ, the resulting stress field is (the angle is with respect to the direction of application of the stress):
References
Kirsch, 1898, Die Theorie der Elastizität und die Bedürfnisse der Festigkeitslehre. Zeitschrift des Vereines deutscher Ingenieure, 42, 797–807.