کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
774249 1463209 2013 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Liouville–Green approximation for Bleustein–Gulyaev waves in functionally graded materials
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Liouville–Green approximation for Bleustein–Gulyaev waves in functionally graded materials
چکیده انگلیسی

The present work aims at studying Bleustein–Gulyaev (BG) waves in a specific class of functionally graded materials. The inhomogeneity under question requires that the elastic stiffness, the piezoelectric term and the dielectric term all vary proportionally to the same inhomogeneity function. However, the density is allowed here to vary in a different manner. As a result we are able to analyse BG waves for media with variable bulk Shear Horizontal (SH) wave velocity profiles. We make use of the Liouville–Green approximation for second order Matrix Differential Equations, with explicit computable error bounds. Our analysis is limited to a certain integrability condition and to the numerical evaluation of a series of improper integrals. We present dispersion curves for BG waves for the metalized boundary condition for different inhomogeneity profiles. The results show that variations in the SH bulk wave velocities have a profound effect on the BG dispersion curves for the metalized boundary condition.


► We model Bleustein-Gulyaev (BG) waves in a special type of inhomogeneous, anisotropic media.
► We use Liouville–Green (or WKBJ) asymptotics for second order matrix differential equation.
► We analyse BG waves for media with variable bulk Shear Horizontal (SH) wave velocity profiles.
►  We show that variations in the SH bulk wave velocities have a profound effect on the BG dispersion curves.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Mechanics - A/Solids - Volume 38, March–April 2013, Pages 129–137
نویسندگان
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