Plane stress linear elastic solutions are obtained for a straight slot with rounded ends subject to remotely applied tensile tractions. The series solutions are obtained using a Kolosov–Muskhhelishvili complex variable approach together with an expansion technique developed extensively by G. N. Savin. The finite difference solutions employ an orthogonal curvilinear coordinate system and simulate loads applied at infinity using finite boundaries that are large in comparison to the slot length. The slot shape is similar to the geometry found in the D. Riabouchinsky free streamline problem for fluid flow around two flat plates. Both uniaxial loadings normal to the slot and uniform biaxial loadings are examined.

对于带有圆端的直线槽，可得到平面应力线性弹性解，该直线端受到远程施加的拉力。使用Kolosov-Muskhhelishvili复变量方法以及G.N. Savin广泛开发的扩展技术获得系列解决方案。有限差分解决方案采用正交曲线坐标系，并使用与缝隙长度相比较大的有限边界来模拟在无限处施加的载荷。槽的形状类似于D. Riabouchinsky关于流过两个平板的流体的自由流线问题中的几何形状。检验垂直于缝隙的单轴载荷和均匀的双轴载荷。