Abstract :
The extreme value analysis of the ductile
fracture surface by dimpled rupture was performed associated
with the fracture behavior of spheroidal graphite cast
iron. A wide variation in the sizes of dimples is commonly
observed on the ductile fracture surfaces of most materials.
A statistical approach should be included to quantify the
ductile fracture surfaces and relate them to the fracture
behavior of the materials. The distributions of both
the maximum dimple sizes in the unit area and the lateral
growth factors of maximum dimples were well expressed
as largest extreme value distributions for the tensile specimens
with various plastic constraint factors. The location
parameter, that is, the mode or highest point of the distribution,
was directly related to the fracture strain and stress
of the tensile specimen. Thus, the fracture behavior of the
tensile specimens could be estimated approximately once
the location parameter of the distribution is known by
fractographic examination. Hence, extreme value analysis
could be used as an attractive method for quantitative
description of the ductile fracture surfaces correlated with
the fracture behavior of spheroidal graphite cast iron.