How to measure mean free path and contiguity in a dual phase structure?

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Mikael Perrut

Hello,

I am not sure of what you mean with the word "contiguity".

Regarding the mean free path, to my knowledge, there is no general expression for its value in a dual phase microstructure. Obviously, this mean free path will change depending on the topology and size of your phases in the microstructure. Your question is similar to the question of a diffusion coefficient in a dual phase microstructure : but in this case you can probably find some approximate formulas, that may help you to approximate the corresponding mean free path.

Pedram Dastur

Hi Mikael Perrut ,

Thank you very much for your answer.

As you mentioned I have found different equations for mean free path, which I am not sure which one is more general.

Contiguity considers the ratio of the fraction of boundaries of same phase to phase boundaries. There is a defined expression for that. I am looking for a equation correlating mean free path with contiguity.

Best regards,

Pedram

Mr Pedram Dastur,

Contiguity is most used in case the of liquid-solid and solid-solid interfaces. Is that your case ? Please give details about your equations and situation, otherwise it would be difficult to give you any insight.

Anyway, I doubt there is a general direct relationship between mean free path and contiguity because it depends not only on interfacial but also bulk properties.

Hi Mikael Perrut

I have attached an image regarding measuring contiguity.

I understand your concept of contiguity. Now what are the different equations regarding mean free path that you want to evaluate ?

Regards,

I have found a equation for measuring mean free path but it is along a vector with specific direction (based on line intercept method). I want to have a mean free path parameter, representative of whole microstructure rather than a specific direction.

I assume this is a 1-dimensional approach since it is based on a line intercept method. You have to calculate the mean value when averaging in all directions, taking into account the probability of the different 2D situations, maybe you should be able to make some kind of image processing to perform this average.

Ok, Thank you for your help.