Effective antiplane shear wave speed in 2D periodic piezoelectric crystals
نویسندگان
چکیده
Effective anti-plane quasistatic moduli for 2D piezoelectric phononic crystals of arbitrary anisotropy are formulated analytically using the plane-wave expansion (PWE) method and the recently proposed monodromy-matrix (MM) method. The latter approach employs Fourier series in one dimension with direct numerical integration along the other direction. As a result, the MM method converges much quicker to the exact moduli in comparison with the PWE as the number of Fourier coefficients increases.
منابع مشابه
Effective shear speed in two-dimensional phononic crystals
The quasistatic limit of the antiplane shear-wave speed (effective speed) c in 2D periodic lattices is studied. Two new closed-form estimates of c are derived by employing two different analytical approaches. The first proceeds from a standard background of the plane wave expansion (PWE). The second is a new approach, which resides in x space and centers on the monodromy matrix (MM) introduced ...
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تاریخ انتشار 2014