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characterization of piezoelectric PVDF films

Posted 1 juil. 2009, 13:19 UTC−4 8 Replies

Lucia Seminara
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Dear all,
I'm trying to model the electromechanical behaviour of a PVDF (Polyvinylidene Fluoride, a polymer) commercial film. I need the coefficients included in the elasticity matrix, the piezoelectric coupling matrix and the permittivity matrix.
Neither the revendor provides this kind of characterization of PVDF film nor I can easily find these coefficients in literature. How can I solve this problem? Did anyone studied similar systems?

It would be very appreciated if you could give me some hints.

Thank you.
Lucia
8 Replies Last Post 5 mai 2017, 23:46 UTC−4
S Moss
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Posted: 2 decades ago 8 juil. 2009, 20:30 UTC−4
Hi Lucia,

We have a similar issue with the piezoelectric parameters (i.e. stiffness/coupling /permittivity matrices) required for the piezo-ceramic we are currently using, Pz26. Luckily the manufacturer (www.ferroperm.com) supplies a 'standard' set and an 'FEM' set of piezo parameters. In terms of matching a measured impedance curve with a COMSOL modelled curve, we have found that using the 'standard' set of parameters we can get COMSOL to accurately model the first lateral mode (say, 200 kHz), but no higher order modes. Using the 'FEM' set we can reasonably model the fundamental thickness mode (say, 1100 kHz). We have generated our own set of parameters to model a 4 MHz thickness mode.

What I am trying to say is that you may need to generate a set of piezoelectric parameters for the frequency range of interest for your particular PVDF application. A paper with a good 'recipe' for determining the piezoelectric parameters is Materials Letters 59(2005) 640-643., "Elastic, dielectric, and piezo characterization of..." by J. Peng et al.

Regards,
S Moss

Hi Lucia, We have a similar issue with the piezoelectric parameters (i.e. stiffness/coupling /permittivity matrices) required for the piezo-ceramic we are currently using, Pz26. Luckily the manufacturer (www.ferroperm.com) supplies a 'standard' set and an 'FEM' set of piezo parameters. In terms of matching a measured impedance curve with a COMSOL modelled curve, we have found that using the 'standard' set of parameters we can get COMSOL to accurately model the first lateral mode (say, 200 kHz), but no higher order modes. Using the 'FEM' set we can reasonably model the fundamental thickness mode (say, 1100 kHz). We have generated our own set of parameters to model a 4 MHz thickness mode. What I am trying to say is that you may need to generate a set of piezoelectric parameters for the frequency range of interest for your particular PVDF application. A paper with a good 'recipe' for determining the piezoelectric parameters is Materials Letters 59(2005) 640-643., "Elastic, dielectric, and piezo characterization of..." by J. Peng et al. Regards, S Moss
Harikrishnan C
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Posted: 10 years ago 25 nov. 2014, 01:51 UTC−5
Lucia Seminara,
I am doing modelling related with piezo polymer-ceramic composite , but i am unable to give the coupling and elastisity matrix for , polymer and composite , if you solved yur problem ,can you kindly help me

thanks in advance
harikrishnan c
Lucia Seminara, I am doing modelling related with piezo polymer-ceramic composite , but i am unable to give the coupling and elastisity matrix for , polymer and composite , if you solved yur problem ,can you kindly help me thanks in advance harikrishnan c
Almuatasim Alomari
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Posted: 9 years ago 15 août 2015, 16:33 UTC−4
Density 1780
Elastic Matrix (cE unit is Pa): {10^12/39.5, -10^12/10.2, 10^12/42, -10^12/25.4, -10^12/19.5, 10^12/99.9, 0, 0, 0, 10^12/1.82, 0, 0, 0, 0, 10^12/1.69, 0, 0, 0, 0, 0, 10^12/1.43}

Coupling Matrix (eES unit is C/m2): {0, 0, 23*3/1000, 0, 0, 23*3/1000, 0, 0, -33*3/1000, 0, -23*3/1000, 0, -27*3/1000, 0, 0, 0, 0, 0}

Relative Permittivity (no unit): 12
Density 1780 Elastic Matrix (cE unit is Pa): {10^12/39.5, -10^12/10.2, 10^12/42, -10^12/25.4, -10^12/19.5, 10^12/99.9, 0, 0, 0, 10^12/1.82, 0, 0, 0, 0, 10^12/1.69, 0, 0, 0, 0, 0, 10^12/1.43} Coupling Matrix (eES unit is C/m2): {0, 0, 23*3/1000, 0, 0, 23*3/1000, 0, 0, -33*3/1000, 0, -23*3/1000, 0, -27*3/1000, 0, 0, 0, 0, 0} Relative Permittivity (no unit): 12
Ayesha Sultana
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Posted: 8 years ago 4 mai 2017, 00:55 UTC−4
Can you please kindly mark all the individual components of the elastic matrix (cE unit is Pa) (6*6).
Can you please kindly mark all the individual components of the elastic matrix (cE unit is Pa) (6*6).
Almuatasim Alomari
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Posted: 8 years ago 4 mai 2017, 02:55 UTC−4
Hi

Please find the answer in attached file. To get more information, I recommend to visit this link as well:
www.comsol.com/community/forums/general/thread/27159/



Hi Please find the answer in attached file. To get more information, I recommend to visit this link as well: https://www.comsol.com/community/forums/general/thread/27159/

Attachments:

Ayesha Sultana
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Posted: 8 years ago 4 mai 2017, 13:01 UTC−4
Thanks a lot. I really appreciate your help to answer my queries.
Thanks a lot. I really appreciate your help to answer my queries.
Ayesha Sultana
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Posted: 8 years ago 5 mai 2017, 14:40 UTC−4
When i am putting the matrix element of Elastic Matrix (cE unit is Pa) and Coupling Matrix (e unit C/m^2) in stress charge form in material contents section, it turns yellow color and showing "inconsistent unit". The used matrix elements are given below.

Elastic Matrix (cE unit is Pa): {10^12/39.5[Pa],-10^12/10.2[Pa],-10^12/25.4[Pa],0[Pa],0[Pa],0[Pa],-10^12/10.2[Pa],10^12/42[Pa],-10^12/19.5[Pa],0[Pa], 0[Pa],0[Pa],-10^12/25.4[Pa],-10^12/19.5[Pa],10^12/99.9[Pa],0[Pa],0[Pa],0[Pa],0[Pa], 0[Pa],0[Pa],10^12/1.82[Pa],0[Pa],0[Pa],0[Pa],0[Pa],0[Pa],0[Pa],10^12/1.69[Pa],0[Pa],0[Pa], 0[Pa],0[Pa],0[Pa],0[Pa],10^12/1.43[Pa]}

Coupling Matrix (e): {0[C/m^2], 0[C/m^2], 23*3/1000[C/m^2], 0[C/m^2], 0[C/m^2], 23*3/1000[C/m^2], 0[C/m^2], 0[C/m^2], -33*3/1000[C/m^2], 0[C/m^2], -23*3/1000[C/m^2], 0[C/m^2], -27*3/1000[C/m^2], 0[C/m^2], 0[C/m^2], 0[C/m^2], 0[C/m^2], 0[C/m^2]

It will be a pleasure if you kindly help me to overcome this difficulty.
When i am putting the matrix element of Elastic Matrix (cE unit is Pa) and Coupling Matrix (e unit C/m^2) in stress charge form in material contents section, it turns yellow color and showing "inconsistent unit". The used matrix elements are given below. Elastic Matrix (cE unit is Pa): {10^12/39.5[Pa],-10^12/10.2[Pa],-10^12/25.4[Pa],0[Pa],0[Pa],0[Pa],-10^12/10.2[Pa],10^12/42[Pa],-10^12/19.5[Pa],0[Pa], 0[Pa],0[Pa],-10^12/25.4[Pa],-10^12/19.5[Pa],10^12/99.9[Pa],0[Pa],0[Pa],0[Pa],0[Pa], 0[Pa],0[Pa],10^12/1.82[Pa],0[Pa],0[Pa],0[Pa],0[Pa],0[Pa],0[Pa],10^12/1.69[Pa],0[Pa],0[Pa], 0[Pa],0[Pa],0[Pa],0[Pa],10^12/1.43[Pa]} Coupling Matrix (e): {0[C/m^2], 0[C/m^2], 23*3/1000[C/m^2], 0[C/m^2], 0[C/m^2], 23*3/1000[C/m^2], 0[C/m^2], 0[C/m^2], -33*3/1000[C/m^2], 0[C/m^2], -23*3/1000[C/m^2], 0[C/m^2], -27*3/1000[C/m^2], 0[C/m^2], 0[C/m^2], 0[C/m^2], 0[C/m^2], 0[C/m^2] It will be a pleasure if you kindly help me to overcome this difficulty.
Almuatasim Alomari
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Posted: 8 years ago 5 mai 2017, 23:46 UTC−4
There is no need to put units as mentioned in previous comments
There is no need to put units as mentioned in previous comments

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