Abstract

The paper uses random and non-random fractals to study transgranular, intergranular and transgranular plus intergranular fractured surfaces according to fracture micromechanisms and compares the results. Theoretical analyses show that in some cases, such as small variance of angle theta ( phi ) and/or large N(m), the random fractal fracture models can be replaced by non-random fractal fracture models approximately; in practice, the real fractured surface with statistical self-similarity can also be characterized very well by non-random fractals. The fractal dimension D of fractured surfaces relates to the number of segments N and the range of angle theta for transgranular fracture, the number of grains m and the range of grain boundary angle phi for intergranular fracture, and not only all the above factors but also the percentages of transgranular fracture and intergranular fracture (C1 and C2) for transgranular plus intergranular fracture.

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