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The mechanical and electrical properties of transducers are modelled by finite-difference representations of the relevant physical equations and the numerical problems are discussed. The theory is applied to a transducer consisting of a calcium-modified lead titanate (PTCa) ceramic mixed with the polymer P(VDF-TrFE), and comparison of ∈33 with experimental values is found to be good. The introduction of ceramic into the mix has an immediate effect on the voltage, and s11 and s12. d31 is not much affected by the presence of the ceramic until it reaches 70% of the mixture whereas d33 changes sign rather quickly and then increases more slowly. A second transducer having the ceramic PZT5 mixed with P(VDF-TrFE) is also modelled and the characteristics of the 0-3 structure are compared with those of the 1-3 structure of the same components modelled in an earlier paper. The 1-3 construction brings the effect of the ceramic in much faster than the 0-3 construction. For example, at 50% ceramic, e33, d3l and d33 are roughly trebled compared to the 0-3 values.