

September 6, 2019 at 9:23 pmdingyangyao1995Subscriber
Hello,
I was wondering how the Equivalent Circle Method is applied in the Additive Science Manual? Is the boundary of the grain calculated using some line integral to obtain the area and then use the area to calculate the diameter?
Thanks

October 16, 2019 at 3:58 amSandeep MedikondaAnsys Employee
Hi, The details of the equivalent circle method are discussed here (Pages 911).
For each grain, the area and the area fraction of the total area are calculated. To do this, the diameter of an equivalent circle for each grain is calculated using the Circle Equivalence Method. Grain area and diameter values for all the grains are then aggregated.

October 17, 2019 at 5:29 pmdingyangyao1995Subscriber
I already read through this part about the documentation. However, my question is how the Circle Equivalence Method is used. What are the equations used to transform the nonuniform area into a circle? how did you estimate the diameter or the circle? using Greene's theorem?
I guess my question would be what is the circle equivalence method.

October 17, 2019 at 8:37 pmyizhang1Ansys Employee
It is not as complicated as Greene's theorem.
In the background, the microstructure is calculated based on a structured grid (like voxels, but way smaller than that). The program will evaluate the area, A, of each grain based on how many grid it covers. And then it will be easy to evaluate the equivalent circle diameter, D, for this grain: A=PI(D/2)^2.
The purpose is to represent the size of a grain by one singe value, D, other than length, height...

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