Crack detection in metals can be done in a number of ways.
1. Pass a current through the metal and monitor the distribution of magnetic field using a magnetic fluid or dust. Cracks cause asymmetric currents, that distort the magnetic field.
2. Spin a metal disk in a magnetic field while detecting fluctuations in the field with a pickup coil. The AC signal detected is proportional to shape or anisotropic resistivity in the sample.
3. Wet the metal with a solvent containing flourescene. Dry the sample by evaporation, then observe under UV light. Cracks will wick fluid that will evaporate along the line and reveal the crack. Bulk treatment of the samples is possible, followed by automated scanning of the individual membranes.
4. Apply a pattern of 4⋅n electrical contacts to the metal membrane, maybe using a vacuum table. Imagine four of those contacts to the membrane as the corners of a balanced Wheatstone bridge, or a strain gauge bridge. Pass a fixed current through two opposite contacts while measuring the voltage difference between the orthogonal opposite pair. Look for voltage imbalance due to crack resistance asymmetry. Circulate the orientation of the measurement.
Automatic feeding and testing will need to know the format, size, shape and the material being tested.