This paper provides a numerical solution for the degenerate scale for a rigid curve in antiplane elasticity. The degenerate scale problem for the rigid curve is formulated on the usage of the logarithmic potential. After assuming the displacement to be a vanishing value along the rigid curve, the boundary integral equation (BIE) is formulated. The problem can be first formulated in the degenerate scale. After making a coordinate transform, we can obtain the relevant BIE in the ordinary scale. Finally, a numerical solution is achieved. Several numerical examples are provided. In addition, the degenerate scale problem for the multiple rigid curves is also solved.

中文翻译：

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用弱奇异积分方程求解反平面弹性刚性曲线的退化尺度。

本文为反平面弹性中的刚性曲线的退化尺度提供了数值解。刚性曲线的简并比例问题是利用对数势来表示的。在假定位移为沿刚性曲线的消失值之后，制定边界积分方程（BIE）。可以首先在退化规模中提出问题。进行坐标变换后，我们可以按常规比例获得相关的BIE。最后，实现了数值解。提供了几个数值示例。另外，还解决了多条刚性曲线的简并比例问题。