Can Piezoelectric Materials Produce Current Only When Bent One Way?

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dbmorpher
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Is there a type of piezoelectric material that only produces a current when bent one way or only bends one way when applied a current?
 
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Piezoelectric materials generate electric charge (voltage) when stressed/flexed. They move in one direction when a positive voltage is applied and in the other direction when a negative voltage is applied.

Nowhere in the above statements can you find the term "current".

Read about it here: (and the references at the bottom)
http://en.wikipedia.org/wiki/Piezoelectricity
 
I imagine if you had the piezoelectric material mounted on a substrate. And it was segregated. then when you bent it to be convex, the piezo electric elements would have gaps in between it and thus be under significantly less stress.