@Article{AAMM-8-82,
author = {Ponnusamy , Palaniyandi},
title = {Elastic Waves in Generalized Thermo-Piezoelectric Transversely Isotropic Circular Bar Immersed in Fluid},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2018},
volume = {8},
number = {1},
pages = {82--103},
abstract = {<p style="text-align: justify;">In this paper, a mathematical model is developed to study the wave propagation
in an infinite, homogeneous, transversely isotropic thermo-piezoelectric solid
bar of circular cross-sections immersed in inviscid fluid. The present study is based
on the use of the three-dimensional theory of elasticity. Three displacement potential
functions are introduced to uncouple the equations of motion and the heat and
electric conductions. The frequency equations are obtained for longitudinal and flexural
modes of vibration and are studied based on Lord-Shulman, Green-Lindsay and
Classical theory theories of thermo elasticity. The frequency equations of the coupled
system consisting of cylinder and fluid are developed under the assumption of perfect-slip
boundary conditions at the fluid-solid interfaces, which are obtained for longitudinal
and flexural modes of vibration and are studied numerically for PZT-4 material
bar immersed in fluid. The computed non-dimensional frequencies are compared
with Lord-Shulman, Green-Lindsay and Classical theory theories of thermo elasticity
for longitudinal and flexural modes of vibrations. The dispersion curves are drawn
for longitudinal and flexural modes of vibrations. Moreover, the dispersion of specific
loss and damping factors are also analyzed for longitudinal and flexural modes of
vibrations.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2013.m428},
url = {http://global-sci.org/intro/article_detail/aamm/12078.html}
}