tugni925
Mechanical
- Sep 14, 2020
- 107
I am trying to understand what is meant by hierarchy in microstructures; in a paper this figure and explanation is given:
It says the figure on the right is the second order hierarchical version of the figure on the left:
In another paper it was defined as:
"The hierarchical microstructures can be defined as an ordered structure with n levels of microscopic length scales. For n = 0, the materials are isotropic at microscopic length scales, and n = 1 could represent the materials with conventional microphase-separated structures such as classical lamellar, cylindrical, and spherical phases [6]. The hierarchical microstructures are beyond these structures, exhibiting more than one length-scale structure (n ≥ 2), such as lamellae-in-lamella and lamellae-in-cylinder."
I have read it over and over again now, but it does not make sense in my head. Does anyone have an alternate explanation of what is meant by hierarchy?
It says the figure on the right is the second order hierarchical version of the figure on the left:

In another paper it was defined as:
"The hierarchical microstructures can be defined as an ordered structure with n levels of microscopic length scales. For n = 0, the materials are isotropic at microscopic length scales, and n = 1 could represent the materials with conventional microphase-separated structures such as classical lamellar, cylindrical, and spherical phases [6]. The hierarchical microstructures are beyond these structures, exhibiting more than one length-scale structure (n ≥ 2), such as lamellae-in-lamella and lamellae-in-cylinder."
I have read it over and over again now, but it does not make sense in my head. Does anyone have an alternate explanation of what is meant by hierarchy?