How does glue reinforce two sheets of paper joined together?

[Phylosopher]

TL;DR Summary

Take two sheets of paper, glue them together. How hard is it to bend the papers?

I am no engineer, just a physicist. I usually do not work with such problems, so I basically do not know what to look for to begin with.

My question/questions goes like this, take the following situation:

Fetch a paper, such single paper is easy to bend. If one takes glue, and glue this previous paper with another one. Obviously, the two papers are harder to bend.

• How to model the "resistance" to bend of a simple two dimensional object? (Formulas, methods, coefficients etc...)
• How does glue enforces the two sheets, and how to model its effect? (I am seeking empirical as well as theoretical formulas)

I am clueless on this subject and I do not really know where to look at! I surfed throw the following on wiki: Bending, Bending Moment.

 

[trurle]

If glue is non-penetrating, and glue layer is thin, rigidity is simply proportional to the square of number of sheets bonded.
In case of penetrating glue, additional rigidity multiplier up to x3 may be applicable, depending on the sort of glue. Phenolic thermo-reactive adhesives are in particular formulated for high rigidity of bonded paper products (phenolic paper).

 

[Phylosopher]

If glue is non-penetrating, and glue layer is thin, rigidity is simply proportional to the square of number of sheets bonded.
In case of penetrating glue, additional rigidity multiplier up to x3 may be applicable, depending on the sort of glue. Phenolic thermo-reactive adhesives are in particular formulated for high rigidity of bonded paper products (phenolic paper).

Thanks.

Maybe I wrote my questions in a the wrong way! I am interested in simulating the behavior of the sheets after applying the glue. Just knowing the rigidity won't do it for me I guess!

Take this for example. Instead of a Beam, its a paper. What do I need to know to make such simulation? Rigidity and stiffness is one thing to look for, but what else?

The problem that I have is not that I don't have the knowledge of physics or programming etc... I just don't know what physics/engineering I need to start the simulation ^^"

 

[trurle]

Take this for example. Instead of a Beam, its a paper. What do I need to know to make such simulation? Rigidity and stiffness is one thing to look for, but what else?

You should also set boundary conditions. Fixed point, sliding point or free point.
Regarding methodology, for static loads, simplest way may be to us moment-area method. You just treat each rectangular piece of paper part as beam. This method does not allow calculation of torsion modes of sheet or vibrations, but is sufficient for flexural loads response calculation. Shapes are typically hyperbolic functions after you integrate deflection along the sheet.
http://www.learnaboutstructures.com/Moment-Area-Theorems