| All Constitutive Forms |
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| 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: | ||
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| Strain-Voltage Form: | Stress-Voltage Form: | ||
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| Transformations |
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| 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: | ||||
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| Stress-Charge to Stress-Voltage: | Strain-Voltage to Stress-Voltage: | ||||
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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. |























