There are some experimental ways to determine piezoelectric coefficients but I want to know if there is any statistical way to estimate them.
Yes absolutely there is. In such situations that we want to estimate a coefficient, this implies we need to find a relationship between a variable, here i.e. piezoelectric properties and another variable which we can control it such as percentage of the nano material we use. Base on some samples with different proportion of e.g. nano material you can estimate the piezoelectric properties of your composite. this relationship can be linear or nonlinear, which depend on the relationship between the two variables.
Ehsan is correct. The statistical way is called Response Surface modelling. Basically you define the factors which influence the piezoelectric properties (response), than you perform designed experiment, than you create a model or models, which relates the factors with the response(s). The topic is very large, so if you feel that this answer is close to your needs, we can discuss it further.
Kalin described the method good, but as a complementary sentence I should say we can use Response Surface when we have at least 2 factors interacting as treatments. So for one factor the model is response line and with increasing factors the dimension will increase too.
As i faced the analysis methods in wood science, most of them needs factorial designs. And as I am a statistical contractor you can contact me on this address:
http://sasandspss.blogfa.com/
Thanks for all answers
If you have any articles related to this discussion(calculating the piezoelectric coefficient and compareing exprimental and theoretical models) please send me the links
yours sincerely
- Badges
- Science topic
- Similar topics
- Physical Sciences
- Materials Science
- Material Characterization