What is meant by "Material interpolation schemes"? 1

[tugni925]

As I understand it; they provide material stiffness as well as strength estimates? Theyre like a set of formulas that give strenght/stiffness estimates when we dont have specific formulas to find the material properties?

 

[SWComposites]

Please provide details of the context where you read that term.

 

[tugni925]

 

[3DDave]

Typically porous materials have randomized voids and therefore randomized distribution of solid materials allowing the use of statistical assumptions.

This is similar to gas laws that do not handle rarified gas predictions, but do handle "ordinary" gas pressures, even though in ordinary gases not all the molecules and atoms have identical momentum. Instead, an assumed average momentum is used to give a suitable approximation of the behavior.

In this case the statistics are applied to generate bulk performance when the solid properties are known by some accounting for the random nature of the distribution of voids.

Aren't the structures you've been asking about repeated polyhedrals and not statistical/random?

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[tugni925]

They are repeated polyhedrals and not statistical/random. Does what you say about randomized voids and randomized distribution of solid materials not apply then? Here is another excerpt from the paper:

 

[3DDave]

That seems to apply when the performance at one level is known and the pattern is repeated within that material at some other scale - the Sierpiński Triangle, for example.

 

[SWComposites]

So it appears those equations are providing estimates of properties as a function of volume fraction.

 

[tugni925]

Just one last picture to close off this thread; Are they saying there will be large stress concentrations in the areas around the void, making the bound theory obsolete?

 

[3DDave]

Is this from a book or some document?

 

[tugni925]

Its from a paper about investigation of stiffness, yield and buckling strength of 3D periodic microstructures

 

[3DDave]

Yeah. I skimmed a dozen of them. Is it a secret which one?

 

[tugni925]

I am not sure, I cant find it anywhere publicly. It is behind a paywall a few places, but Ill just try to find some similar papers and try to get a deeper understanding of things.

 

[tugni925]

By the way I dont think its a secret which paper it is, I am sure I can provide you a copy if you have an interest in the topic. But for this thread it not necessary I think.

 

[IRstuff]

You can just post the title and the journal, at least.

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[IRstuff]

First reference is from

https://www.sciencedirect.com/science/article/pii/S0264127520308923

Last reference is from

https://backend.orbit.dtu.dk/ws/files/236885337/1_s2.0_S0264127520308923_main.pdf

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[tugni925]

I was just thinking if you want the entire thing, since its behind a paywall

 

[IRstuff]

In this forum, MORE information is always better than none. By, doling out information piecemeal, you slow down anyone trying to help you.

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[tugni925]

Ill provide full name of the article next time.