“…Two-dimensional analysis of actual fracture surface profiles can reveal microstructures such as debris, overhang and microcracks linked to the fracture surface, which cannot be detected by three-dimensional fracture surface analysis 10,11,14,15,27) . However, the geometrical information about a given fracture surface in a wide area can be obtained by the three-dimensional fracture surface analysis 1,2,[4][5][6][7][8] . Combination of three-dimensional and two-dimensional analyses may lead to the further understanding of the geometrical features of fracture surfaces and the fracture mechanism in materials.…”