All Constitutive Forms |
The four possible forms for piezoelectric constitutive equations are shown below. The names for each of the forms is arbitrary; they were taken from the two dependent variables on the left-hand-side of each equation. Note that the Voltage and Electric Field variables are related via a gradient. |
Strain-Charge Form: | Stress-Charge Form: | ||
Strain-Voltage Form: | Stress-Voltage Form: | ||
Transformations |
Matrix transformations for converting piezoelectric constitutive data from one form into another form are shown below. Only 4 out of the 6 possible combinations are shown. |
Strain-Charge to Stress-Charge: | Strain-Charge to Strain-Voltage: | ||||
Stress-Charge to Stress-Voltage: | Strain-Voltage to Stress-Voltage: | ||||
See the Symbol Definition page for the units and dimensions
of the constitutive matrices shown here.
See Subscript Definitions for an explanation to the subscripts on the constitutive matrices. |