Axisymmetric Vibrations in Micropolar Thermoelastic Cubic Crystal Plate Bordered with Layers or Half Spaces of Inviscid liquid

Author(s):
Abstract:
In present study is concerned with the propagation of axisymmetric vibrations in a homogenous isotropic micropolar thermoelastic cubic crystal plate bordered with layers or half spaces of inviscid liquid subjected to stress free boundary conditions in context of Lord and Shulman (L-S) and Green and Lindsay (G-L) theories of thermoelasticity. The secular equations for symmetric and skew-symmetric leaky and nonleaky Lamb wave modes of propagation are derived. The amplitudes of displacement components, microrotation and temperature distribution are also computed numerically and presented graphically. Finally, in order to illustrate the analytical developments, numerical solution of secular equations corresponding to stress free thermally insulated micropolar thermoelastic cubic crystal plate is carried out for magnesium crystal material bordered with water layers of finite and infinite thickness.
Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:4 Issue: 1, May 2009
Page:
55
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