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The mechanical behaviour of U-notched specimens made from Dionysos marbleand subjected to three-point bending is studied here both experimentally and numerically.The numerical analysis is based on the Displacement Discontinuity Technique. Attention isfocused to the relation between LEFM and Linear Elastic Notch Mechanics as well as tothe influence of the non-linearity of the stress-strain law of this marble on the values of theStress Intensity Factors. Discrepancies between theoretical predictions and experimentalresults are indicated: Contrary to common sense linear approaches are not fully applicablein case of marble, although from a macroscopic point it is considered as a brittle material.