Whats the relation between d33 and strain generated in a PVDF based actuators when we apply a known voltage. Anyone here can guide me or provide me any reference.
Thanks.
The piezoelectric constitutive equations in stress-charge form
are given by couple of equations (1) and (2). These equations
describe the relation between stress-charge form and stain-charge
form. The symbols are explained in Table .
Equations 1: stress-charge form
T = cE. S – e T. E
D = e . S + εS . E
Equations 2: strain-charge form
S = SE . T + dT . E
D = dT + εT.
Table . Piezoelectric constitutive equation symbols
T Stress
CE Elasticity matrix (rank 4 tensor)
S Strain
E Electric field
e Coupling matrix (rank 3 tensor)
D Electric displacement
ε Permittivity matrix (rank 2 tensor)
You can use the equation Sij=DijE
This is a very basic article. But I hope it helps,
https://www.americanpiezo.com/knowledge-center/piezo-theory/piezoelectric-constants.html
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