Equations for the extension and flexure of a piezoelectric beam with rectangular cross section and applications

Abstract

One-dimensional equations for the extension and flexure with shear deformations of a piezoelectric beam with rectangular cross section are derived from the three-dimensional equations for linear piezoelectricity by double power series expansion in the thickness and width directions. The equations are reduced to the case of elementary flexure without shear deformations. As an application of these equations, the buckling of a ceramic piezoelectric beam is discussed.