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Piezoelectricity - Stem2

PiezoelectricityJim Emery4/3 TheLinearPiezoelectricEquations .. Piezoelectric Ceramics Constants and One Dimensional Equa-tions .. Three Systems of Notation For The Piezoelectric Equations:Physics(IRE),ABAQUS,andANSYS .. Deriving the tensor Stress Form of the Piezoelectric EquationsFromtheStrainForm .. OrthotropicMaterial .. The Equality of Direct and Converse Piezo Coefficients .. Piezoelectric Current and Impedance From A Finite ElementCalculation .. The Conversion Example: Parameter Conversion Using Compliance Components Example: Parameter Conversion Using Four Independent Elas-ticityComponents .. ,OrthotropicElasticConstants .. Program Listing .. Location of Piezoelectric Information In ANSYS Manuals .. ANSYS Comparison For A Composite Piezoelectric Trans-ducer: Example IntroductionWe shall show how to derive the stress form of the piezoelectric equationsfrom the strain form, and we shall show how to find the clamped permittivitymatrix from the unclamped matrix.

h 1 2 3 1 1 4 6 2 4 2 5 3 6 5 3 Warning! These differences in index assignment will change the matrices such as c,d,e. The matrix components of the piezoelectric tensor are di,f(i,j) and are

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