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Interaction of Rayleigh wave with solid where a substance is placed upon a piezo substrate.

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I want to make a simulation of a device where Rayleigh wave will be generated and that wave will drive a substance loaded upon the wave generating substrate. Already I have tried with different physics adding to it and solved so many example models but still unable to decide which are the proper physics require for it and how to provide equations to the model. So far I am able to generate the Rayleigh wave. My queries are what are physics it needs to be added and how to decide them? How to interact the wave with the substance loaded upon it ? I have the mathematical equations but unable to put those in proper way in the simulating model. Its a dynamic type of model where, with respect to time and the traveling wave the displacement of substance also varies. So any one please guide me related to this. I have solved acoustic interaction model, Hertz contact model, some models which are equation based.

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