Hello,
Poisson's ratio ow diagrams, that is, the Poisson's ratio versus the ber fraction, are obtained numerically for hexagonal arrays of elastic circular bers in an elastic matrix. High numerical accuracy is achieved through the use of an interface integral equation method. Questions concerning xed point theorems and the validity of existing asymptotic relations are investigated and partially resolved. Our ndings for the transverse e ective Poisson's ratio, together with earlier results for random systems by other authors, make it possible to formulate a general statement for Poisson's ratio ow diagrams: For composites with circular bers and where the phase Poisson's ratios are equal to 1/3, the system with the lowest sti ness ratio has the highest Poisson's ratio. For other choices of the elastic moduli for the phases, no simple statement can be made
can see
http://www.maths.lth.se/na/staff/helsing/JAP96.pdf
Hello,
If you know the stiffness properties (Young's modulus + Poisson's ratio) of both the polymer matrix and the ceramic particles, you can use homogenization theory to estimate the stiffness properties of the composite material. More specifically, if the volume fraction of ceramic particles is small, you could use the Mori-Tanaka approximation to get a reasonable estimation of the effective Poisson's ratio of the composite material.
Thank you Charles.
I can get Young's modulus and Poisson's ratio for polymer matrix but I do not know about the ceramic powder.
The volume fraction of ceramic particle is very high.
Do you have any suggestion for calculating Young's modulus Poisson's ratio for powder?
Are you going to do any measurements on the final composite?
If yes, in this case that you don't have any information from the ceramic, you can use this paper which gives you the formulas for a spherical filled composite. Then, you can fit your experimental results with its formulas to figure out your constants, both for the composite and the ceramic powder.
The easiest way is just to contact your vendor to get more details about the powder that you provided from them.
Article The elastic moduli of particulate‐filled polymers
Find these attachments which may help you.
https://www.sciencedirect.com/search?qs=poisson%27s%20ratio%20for%20a%20composite%20with%20spherical%20filler&show=25&sortBy=relevance
These links may help you
https://researchbank.rmit.edu.au/eserv/rmit:9875/Lombardo.pdf
https://arxiv.org/ftp/arxiv/papers/1605/1605.00465.pdf
http://itll.colorado.edu/modular_experiments_dir/itll_modules/Ultrasonic%20Measurements/Ultrasound%20Theory.doc
Article Measurement of the dynamic elastic moduli of porous titanium...
Hello,
Poisson's ratio ow diagrams, that is, the Poisson's ratio versus the ber fraction, are obtained numerically for hexagonal arrays of elastic circular bers in an elastic matrix. High numerical accuracy is achieved through the use of an interface integral equation method. Questions concerning xed point theorems and the validity of existing asymptotic relations are investigated and partially resolved. Our ndings for the transverse e ective Poisson's ratio, together with earlier results for random systems by other authors, make it possible to formulate a general statement for Poisson's ratio ow diagrams: For composites with circular bers and where the phase Poisson's ratios are equal to 1/3, the system with the lowest sti ness ratio has the highest Poisson's ratio. For other choices of the elastic moduli for the phases, no simple statement can be made
can see
http://www.maths.lth.se/na/staff/helsing/JAP96.pdf
Greetings,
You can use strain gauges, by using two strain gauges stuck along the longitudinal and transverse direction on the tensile specimens. As in this paper which gives you the method for a particulate filled composite.
A comparative study on industrial waste fillers affecting mechanical properties of polymer-matrix composites.
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