Title of article :
Axisymmetric Vibrations in Micropolar Thermoelastic Cubic Crystal Plate Bordered with Layers or Half Spaces of Inviscid liquid
Author/Authors :
Kumar، Rajneesh نويسنده Department of Mathematics , , Partap، Geeta نويسنده Department of Mathematics, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, Punjab, India -144 011 ,
Issue Information :
دوفصلنامه با شماره پیاپی سال 2009
Abstract :
The 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.
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)