Geeta Partap

Wave Propagation in Microstretch Thermoelastic Plate Bordered with Layers of Inviscid Liquid

The propagation of free vibrations in microstretch thermoelastic homogeneous isotropic, thermally conducting plate bordered with layers of inviscid liquid on both sides subjected to stress free thermally insulated and isothermal conditions is investigated in the context of Lord and Shulman (L‐S) and Green and Lindsay (G‐L) theories of thermoelasticity. The secular equations for symmetric and skewsymmetric wave mode propagation are derived. The regions of secular equations are obtained and short wavelength waves of the secular equations are also discussed. At short wavelength limits, the secular equations reduce to Rayleigh surface wave frequency equations. Finally, the numerical solution is carried out for magnesium crystal composite material plate bordered with water. The dispersion curves for symmetric and skew‐symmetric wave modes are computed numerically and presented graphically.

Elastodynamic Behavior of Axisymmetric Vibrations in Micropolar Thermoelastic Cubic Crystal Plate

The present paper is aimed at studying elastodynamic behavior of axisymmetric vibrations in a homogenous isotropic micropolar thermoelastic cubic crystal plate in context of Lord and Shulman (L-S) and Green and Lindsay (G-L) theories of thermoelasticity. The upper and lower surfaces of the plate are subjected to stress free thermally insulated conditions. The secular equations for symmetric and skew-symmetric wave modes are derived. The amplitudes of displacement components, microrotation and temperature distribution are also computed during the symmetric and skew-symmetric motion of the plate. Finally, in order to illustrate and verify the analytical developments, numerical solution of secular equation corresponding to stress free thermally insulated micropolar thermoelastic cubic crystal plate is carried out for magnesium crystal material.

Circular Crested Waves in a Microstretch Elastic Plate

The propagation of circularly crested waves in a homogeneous isotropic microstretch elastic plate subjected to stress free conditions is investigated. The secular equations for circular homogeneous isotropic microstretch elastic plate in closed form for symmetric and skew symmetric wave modes propagation are derived. The amplitudes of displacement components, microrotation and microstretch are also obtained analytically. The results for micropolar elastic and elastic materials have been obtained as particular cases. The special cases such as short wavelength, thin plate waves of secular equations are deduced and discussed. The dispersion curves for symmetric and skew symmetric modes and amplitudes of displacement components, microrotation and microstretch in case of fundamental symmetric and skew symmetric modes are presented graphically. The analytical and numerical results are found to be in close agreement.

Study of deflection and damping in microbeam resonator based on microstretch thermoelastic theory

ABSTRACT This article deals with the deflection and thermoelastic damping analysis in homogeneous, isotropic, micropolar microstretch generalized thermoelastic thin beam based on Euler–Bernoulli theory. Analytical expressions for deflection, thermoelastic damping, frequency shift, temperature distribution and microstretch functions have been obtained for various boundary conditions viz. clamped, simply supported and cantilever beam by using Laplace transform technique. The analytical results have been numerically analyzed with the help of MATLAB software in case of magnesium like materials. The computed results have been presented graphically in view of various boundary conditions.

AXISYMMETRIC WAVE MOTION IN A MICROPOLAR CUBIC CRYSTAL PLATE

The present investigation is aimed at studying axisymmetric wave motion in a homogeneous transversely isotropic micropolar cubic crystal plate subjected to stress-free conditions. The secular equations for symmetric and skew-symmetric modes of wave motion are derived. The amplitudes of displacement components and microrotation are also computed and presented graphically during the symmetric and skew-symmetric motion of the plate. Finally, in order to illustrate and verify the analytical developments, numerical solution of the secular equation corresponding to stress-free micropolar cubic crystal plate is carried out for magnesium crystal material and represented graphically. The results of phase velocity, displacements, and microrotation have been compared for micropolar cubic crystal plate (MCP) and micropolar elastic plate (MEP) and illustrated graphically.

Circumferential Waves in Micropolar Thermoelastic Cylindrical Curved Plate

The present paper deals with the propagation of circumferential waves in a homogeneous isotropic micropolar coupled thermoelastic cylindrical curved plate. This type of study is useful for ultrasonic non-destructive inspection of large diameter pipes, which helps in the health monitoring of ailing infrastructure. The model has been simplified by using Helmholtz decomposition technique and the resulting equations have been solved by using separation of variable method to obtain the secular equation in isolated mathematical conditions. In order to illustrate theoretical development, numerical solutions are obtained and presented graphically for Aluminium–epoxy composite.