  Piezoelectric devices, such as piezoelectric traveling wave rotary ultrasonic
motors, have composite piezoelectric structures. A composite piezoelectric
structure consists of a combination of two or more bonded materials, where at
least one of them is a piezoelectric transducer. Numerical modeling of
piezoelectric structures has been done in the past mainly with the finite
element method. Alternatively, a finite volume based approach offers the
following advantages: (a) the ordinary differential equations resulting from
the discretization process can be interpreted directly as corresponding
circuits and (b) phenomena occurring at boundaries can be treated exactly. This
report extends the work of IEEE Transactions on UFFC 57(2010)7:1673-1691 by
presenting a method for implementing the boundary conditions between the bonded
materials in composite piezoelectric structures. The report concludes with one
modeling example of a unimorph structure.
