Yes, there is a relationship between the elongation percentage and dimple size during ductile failure. Ductile failure is characterized by the formation of dimples on the fracture surface due to microvoid nucleation, growth, and coalescence.

The other variable is the work hardening rate. If this is the same in two materials smaller dimple size typically correlates with lower ductility.

There is no simple linear relationship between elongation percentage and dimple size during ductile failure, but some general trends can be observed:

• Temperature: Higher temperatures generally lead to increased ductility and larger dimple sizes
• Microstructure: Finer microstructures typically result in smaller dimples but may contribute to higher overall ductility
• Strain rate: Higher strain rates may lead to smaller dimples and potentially lower ductility

3- Dimple size distribution is often asymmetric, with many small dimples and fewer large ones, complicating the analysis

4- As elongation increases, dimples tend to become more elongated rather than simply larger

There are two types of inhomogeneities in steel: inclusions and carbides.

Inclusions are foreign material: sulfides and oxides. These parts are relatively coarse (5 µm) and their bond to the matrix is ​​zero. Correspondingly the dimples are large.

Carbides are an intrinsic phase, created by demixing from the supersaturated matrix during cooling or reheating. These parts are fine (less than 1 µm). Their bond to the matrix is ​​strong; the dimples are finely formed.

The fracture work is done by separating the matrix from the carbides.