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In this work, a boundary element method (BEM) is applied for time-harmonic
analysis of three-dimensional linear piezoelectric solids. Coupled frequency domain boundary
value problems of the linear theory of piezoelectricity are considered assuming zero initial
conditions, in the absence of the body forces and free electric charges. The elastic and electric
variables are combined into the extended vectors and tensors. Proposed boundary element
approach employs regularized weakly singular frequency domain boundary integral equations
(BIEs) for the extended displacements. A standard collocation procedure for the mixed
boundary elements is used. Integral expressions of the three-dimensional frequency domain
dynamic piezoelectric fundamental solutions are employed. Results of the boundary-element
analysis of a test problem are provided to validate the proposed BEM formulation.
Keywords: piezoelectricity, boundary element method, time-harmonic analysis, fundamental solutions |
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