How can one calculate Elastic modulus of these glass particles reinforced polymer composite samples (as mentioned in previous question ) by using rule of mixture?
The rule of mixture is the simplest way to calculate the properties of mixtures only taking account the fraction and a parameter (here Elastic modulus) of each component. It is written :
E(composite)=V(particle)*E(particle)+V(polymer)*E(polymer)
V and E are the volume fraction and Elastic modulus of each component.
But sometimes this rule is not valid since some parameters (the particle shape, particle-polymer interaction,...) are not taken into account. Be careful when you use it.
Alternatively, one could use the inverse additivity model which is written as follows:
1/E(composite) = V(particle)/E(particle)+V(polymer)/E(polymer)
Where V is the volume fraction and E is Elastic modulus of each component.
This model would fit those composite systems wherein the components retain their individuality and yield weaker interactions between the two components than those between themselves.
Another possible model could be
log E(composite) = V(particle)*log E(particle) +V(polymer) *log E(polymer)
and the inverse log model.
These are some of the models tried for polymer blends. Others are available in the following paper:
A. V. Shenoy, D. R. Saini and V. M. Nadkarni, Melt rheology of polymer blends from melt flow index, Int. J. Polym. Mats., Vol. 10, p. 213 (1983).
Conceptually, the same models could be tried for glass particle reinforced polymer composites. Since particle-polymer interaction needs to be factored into the equation, some of the equations used in the following papers could be integrated into the above suggested equations to see what best fits the specific formulation.
D. R. Saini, A. V. Shenoy and V. M. Nadkarni, Dynamic mechanical properties of highly loaded ferrite-filled thermoplastic elastomers, J. Appl. Polym. Sci., Vol. 29, p. 4123 (1984).
A. V. Shenoy and D. R. Saini, Quantitative estimation of matrix-filler interaction in ferrite-filled styrene-isoprene-styrene block copolymer systems, Polym. Composites, Vol. 7, p. 96 (1986).
More details on filler-polymer interactions are covered in the following book:
Aroon V. Shenoy, Rheology of Filled Polymer Systems, Kluwer Academic Publishers, Netherlands (1999).
I would suggest you to consult a an old, but still very useful book, that of Nielsen
http://onlinelibrary.wiley.com/doi/10.1002/pol.1975.130130214/abstract
The following lecture is on fiber reinforced composits:
http://www.swcompositesgateway.co.uk/Property-Prediction.pdf
The net one is on particulate filled polymers:
http://www.researchgate.net/publication/236133079_Particulate-Filled_Polymer_Composites/links/0deec5164277d6edce000000.
http://vjs.ac.vn/index.php/vjmech/article/viewFile/425/296
http://www.scirp.org/journal/PaperDownload.aspx?paperID=3439.
http://onlinelibrary.wiley.com/doi/10.1002/pc.750020403/abstract
I hope it helps
Chapter Particulate-Filled Polymer Composites
For calculating the modulus with one of the above mentioned equations it is necessary to take into account the angle in which the force applies. Only the particles and fibres which lay within the direction of the load applied will exploit the whole potential of the material. Otherwise it adds a smaller value than it could.
E. g. fibres have a high modulus within fibre direction. But if the force does not apply within fibre direction the modulus of the fibres is decreased dramatic. So only fibres within load direction show the fibres modulus. Fibres in other directions have smaller values with also need to be taken into account with their individual fibre volume content.
The smaller the reinforcing component gets and the more isotropic the reinforcing material is the less important the angle of the load gets
Polymer Properties van Krevelen has a chapter to estimate elastic modulus of polymeric materials. I'm not sure that in the same chapter it has a prediction method for filled polymers. Good Luck!
please anybody help to find the youngs modulus and poissons ratio for particulate composite for example araldite ly 556 as Matrix resin and silica sio2 as particle in it.
Can I apply rule of mixtures in a case like this of catheter tube:-
OD : 0.0380inch
ID : 0.0298inch
Wall thickness : 4.1 mils
Layer 1 : 0.5 mils Polyimide
Layer 2 : 1.5 mil rd SS 304V ST,
16 Braid Wires,
36.0 Picks Per Inch,
Braid Angle=25.5 DEG,
Surface Area Coverage=23.3%,
Braid Matrix = FEP
Layer 3 : 0.6 mils FEP
In Three Components composite How do I convert weight fraction to volume fraction?
Refer to best book in field that name's is Advanced Mechanics of Composite Materials, writing by Valery V. Vasiliev & Evgeny V. Morozov Published by ELSEVIER.
good luck.
How can one calculate Elastic modulus by using rule of mixture for multi-layered metal matrix composite?
Thanks for the constructive comments. I have two papers entitled “Characterizing the elastic and plastic properties of the multilayered Al/Brass composite produced by ARB using DIC” & Using digital image correlation for characterizing the elastic and plastic parameters of ultrafine-grained Al 1050 strips fabricated via accumulative roll bonding process” that are available online on my RG profile.
please anybody help to find the youngs modulus and poissons ratio Tensile strength and strain values for particulate composite for example araldite ly 556 as Matrix resin and silica sio2 as particle in it.
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