Abstract
Efficient Computation of the Green’s Function and Its Derivatives for Three-Dimensional Piezoelectricity
Highlights
Efficient three-dimensional infinite Green’s function and its first- and second-order derivatives for materials with piezoelectric coupling are studied in this paper
The procedure is based on an explicit solution recently introduced by the authors which presents three valuable characteristics: (i) it is explicit in terms of the Stroh’s eigenvalues, (ii) it remains well-defined when some Stroh’s eigenvalues are repeated or nearly equal, and (iii) it is exact. This solution is used to compute coefficients for a double Fourier series representation of the Green’s function and its derivatives. These Fourier expansion representations are realvariable which is an important feature for numerical applications
Double Fourier series representation have been shown a high performance for anisotropic elasticity
Summary
Efficient Computation of the Green’s Function and Its Derivatives for ThreeDimensional Piezoelectricity Buroni2,*, Gabriel Hattori3, Andrés Sáez4 and Rogério J. Camino de los Descubrimientos s/n, Seville E-41092, Spain.
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