1975 年 91 巻 1051 号 p. 571-576
In this paper the stress distributions around two openings (an elliptical goaf and a circular drift) situated in parallel in a plane are solved by using the complex stress functions and conformal representation.
First of all computations are made for such two examples as the center of the drift has the co-ordinates (8, -6) and (13, -6) which are represented in (x1, y1) co-ordinates.
The results show that stress distributions around the goaf are almost same as the case that the drift is non-existent, except the limited region of the periphery of the ellipse facing to the drift, but that the stress distributions around the drift are fairly different from those when the ellipse does not exist.
Furthermore the stress concentration around the drift is estimated where a principal stress acts on the plane with an inclination of α to x-axis.
As a result it is found that the maximum and minimum values of stress concentration around the drift and the position that they occur are varied greatly with α.
And the most dangerous position of the drift is near to a tip of the elliptical goaf.