For the advancement of micro- and nano-technologies, multiaxial material testing at a small length scale is imperative. A novel multiaxial miniature testing system (MMTS) is under development for testing a tubular specimen of outer diameter (OD) as small as 1 mm. Because of the small specimen size of MMTS, stereo-Digital Image Correlation (DIC) is the preferred strain measurement technique. Although theoretically, stereo-DIC is length-scale independent, the implementation of stereo-DIC, particularly for miniature testing, faces experimental setup related challenges. For this reason, although stereo-DIC is strongly recommended over 2D DIC, researchers are sometimes compelled to use the latter. It is shown in the present study that the experimental setup related difficulties, particularly for miniature round specimen testing, can be overcome by a systematic development of a mathematical framework for stereo-DIC implementation. This framework addresses all setup decisions concerning stereo-DIC implementation, such as selections of stereo angle, speckle size, camera position, camera sensor size, lens focal length, dimensions of camera and lens bodies, calibration grid size, etc., as well as stereo-DIC analysis parameters, such as subset and step size. Besides serving the need of building a stereo-DIC setup for MMTS, since the developed mathematical framework treats all stereo-DIC setup decisions as variables, it can be used to develop an optimized stereo-DIC setup for any application. Examples of two general cases are reported. Since this general framework serves as a tool to solve the stereo-DIC experimental setup related challenges, the developed framework will contribute to the wider adoption of stereo-DIC over 2D DIC.

为了促进微技术和纳米技术的发展，必须在较小的长度范围内进行多轴材料测试。正在开发一种新颖的多轴微型测试系统（MMTS），用于测试外径（OD）小至1毫米的管状样品。由于MMTS的样本尺寸较小，因此，立体数字图像相关（DIC）是首选的应变测量技术。尽管从理论上讲，立体声DIC是与长度无关的，但立体声DIC的实现（尤其是对于微型测试而言）仍面临与实验设置相关的挑战。因此，尽管强烈建议在2D DIC上使用立体声DIC，但有时会迫使研究人员使用后者。本研究表明，实验设置与困难相关，尤其是对于微型圆形试样测试而言，可以通过立体声DIC实现的数学框架的系统开发来克服。该框架解决了有关立体DIC实现的所有设置决策，例如立体角，散斑大小，摄像机位置，摄像机传感器大小，镜头焦距，摄像机和镜头主体的尺寸，校准网格大小等的选择，以及立体DIC分析参数，例如子集和步长。除了满足为MMTS构建立体声DIC设置的需求外，由于开发的数学框架将所有立体声DIC设置决策视为变量，因此可以将其用于为任何应用开发优化的立体声DIC设置。报告了两个一般情况的示例。由于此通用框架可作为解决立体声DIC实验设置相关挑战的工具，