thin film and bulk piezo materials

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Hi COMSOL Friends, I am trying to find the generated displacement in the piezo materials upon the applied voltage in the inverse (indirect) piezoelectric effect. I am trying to find out the generated displacement in BaTiO3 piezo material upon application of 20 V. I have created a geometry of 5 x 5 mm^2, and the thickness is 250 nm. The simulated displacement is 0.44863 nm, but the hand calculation is ~ 0.82 nm (from the general formula, Displacement = d33. V). I don't know why this happens to me. I would be truly grateful for your kind help in this regard. I am attaching the COMSOL snapshot file here. Request you pl have a look and help me. Is the thin film and bulk piezo materials affect separately on the displacement upon an application of voltage??



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