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Continuing Modeling Issues with 2D & 3D piezoelectric SAW model

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Hello all,
I’m in desperate need of help with my model. The initial model setup is a 2D cross-sectional SAW device where I have silicon, a metallic electrode as my ground, a buffer layer, a piezoelectric layer (PZT-5), and gold electrodes. The current physics I have defined is with piezoelectric devices (with COMSOL version 4.2.0) with the silicon and buffer/protective layer (SrTiO3) as my linear elastic material model, the metallic electrodes and metallic layer as my electrical material layer, and piezoelectric material model with the PZT. I have defined parameters most of the materials in terms of elastic matrix D, Young’s Modulus, Bulk modulus, permittivity, and so forth. My main issue is when I run a frequency domain analysis; I consistently get the error of:
Failed to find a solution for the initial parameter. Singular matrix. There are 3906 void equations (empty rows in matrix) for…etc.
I have looked through the discussion forum consistently to see why I continue to get the errors I received and I thought it was simply a matter of fixing my boundary conditions but I thought I had accounted for all constraints for this simplified model. I do not know at this point where I have been going wrong for the past couple of months now. I’m attaching the current model. Any suggestions or comments would be greatly appreciated. Thank you.


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Sarah

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