title: Analytical modeling of the apparent d33 piezoelectric coefficient determined by the direct quasistatic method for different boundary conditions.
abstract: The longitudinal piezoelectric coefficient d33 measured by the quasistatic (Berlincourt-type) method is strongly dependent on the sample aspect ratio (thickness/lateral dimension) and the type of contacts used to collect the charge and apply the pressure on the sample. In this study, we present an analytical model in which apparent (measured) d33 is a function of the aspect ratio, the mechanical properties of contacts, and the properties of piezoelectric material. Using derived relations, it is possible to obtain the true value of d33 in the wide range of boundary conditions. The analytical results are compared with simulations using finite element modeling (FEM) and with experimental data; and good correlation is found among them. Effect of the geometry of the contacts on apparent d33 value is specifically addressed.
authors.affiliation: Ceramic Laboratory, Materials Institute, School of Engineering, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland. abdolghaffar.barzegar@epfl.ch
authors.forename: Abdolghaffar
authors.initials: A
authors.lastname: Barzegar
authors.forename: Dragan
authors.initials: D
authors.lastname: Damjanovic
authors.forename: Nava
authors.initials: N
authors.lastname: Setter