Abstract
The notch sensitivity effects on fracture testing of aggregative materials, and more generally of brittle materials, the specimen and crack sizes varying, have been studied based on the Dimensional Analysis. Such effects are due to the co-existence of two different structural crises, induced by generalized forces with different physical dimensions, and to the finiteness of specimen sizes. The application of Buckingham's Theorem allows the definition of a non-dimensional parameter s (the test brittleness number), which governs the notch sensitivity phenomenon. Some recurring experimental inconsistencies are thus explained, such as: 1. (1) The increase or decrease of fracture toughness K Ic by increasing the crack length; 2. (2) The increase of K Ic by increasing the specimen sizes; 3. (3) The variability of K Ic by varying the test typology.
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