The conventional way to present Integral Method calibration data for hole-drilling residual stress measurements is in the form of a large triangular table of numbers. In the common case where 20 drilling steps are used for the hole-drilling measurement, 231 numerical coefficients are needed. While such tables are effective, their bulk inhibits their use for other than the most common experimental arrangements; the convenience and usefulness of the hole-drilling method would be much extended if the bulk of the calibration data could be reduced. Here, a two-variable polynomial formulation is proposed to represent the hole-drilling calibration data. It comprises 15 numerical coefficients and provides calibration data with average accuracy within 1%, with occasional outliers reaching around 2%. The compactness of the calibration stimulated exploration of hole-drilling response beyond the conventional “thick” specimen case, also to include finite thickness specimens down to very thin (through-hole) geometries. Tables of calibration data are provided here for ASTM E837 Type A, B and C strain gauge rosettes, for various hole diameters, for conventional “thick” specimens, and for finite thickness specimens down to the through-hole case.

中文翻译：

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有限厚度试样中钻孔残余应力测量的紧凑校准数据

用于钻孔残余应力测量的积分法校准数据的常规方法是采用大三角数字表的形式。在通常使用 20 个钻孔步骤进行钻孔测量的情况下，需要 231 个数值系数。虽然这些表格是有效的，但它们的体积限制了它们用于最常见的实验安排以外的用途；如果可以减少大量校准数据，钻孔方法的便利性和实用性将会大大扩展。在这里，提出了一个二变量多项式公式来表示钻孔校准数据。它包含 15 个数值系数，并提供平均精度在 1% 以内的校准数据，偶尔会出现 2% 左右的异常值。校准的紧凑性激发了对钻孔响应的探索，超越了传统的“厚”试样情况，还包括有限厚度试样，直至非常薄（通孔）几何形状。此处提供的校准数据表适用于 ASTM E837 A、B 和 C 型应变片花环、各种孔径、常规“厚”试样以及有限厚度试样直至通孔情况。