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effective length

Journal of Mechanics (1)

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Effective Lengths of Tensile and Torsional Specimens of Piezoelectric Materials
J.-Q. Tarn, H.-H. Chang
Journal:

Journal of Mechanics / Volume 22 / Issue 1 / March 2006

Published online by Cambridge University Press:

05 May 2011, pp. 27-34

Print publication:

March 2006
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The effective length of a piezoelectric cylindrical specimen in strain measurements is determined by considering the stress decay in a cylindrically anisotropic, circular cylinders of piezoelectric materials subjected to 2D surface tractions and prescribed end loads. On the basis of the state space formalism, the problem is studied by means of matrix algebra. The significance of the end effects is evaluated through a characteristic decay length. The study enables us to assess Saint-Venant's principle as applied to piezoelectricity in general and to determine the effective lengths of tensile and torsional specimens of piezoelectric materials in particular.