Abstract
The total fracture energy of edge-cracked beams under bending load is strongly dependent on specimen size, so the Charpy energy can only be measured on standard specimens. By means of a simplistic mechanical model a mathematical relation between the total fracture energy of an edge-cracked beam under bending and the fracture toughness is derived, from which a mathematical relation between the fracture energy and specimen size is obtained. It can be used to scale-up the fracture energy of sub-sized tests, and then use the evaluation procedure for standard Charpy specimens mentioned above. Unlike the commonly used empirical correlation formulas, the presented scaling law is applicable to any elastic-plastic material. It holds for the upper-shelf regime, and as a lower bound also in the brittle-to-ductile transition regime. The results are compared with experimental data obtained from different specimen sizes
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