scholarly journals Investigation of Waves Generated in Transversely Isotropic Micropolar Generalized Thermoelastic Half Space Under Temperature Dependent Properties

2019 ◽  
Vol 24 (4) ◽  
pp. 53-65
Author(s):  
R.R. Gupta ◽  
R.R. Gupta
Keyword(s):  
Temperature Distribution ◽  
Quality Factor ◽  
Half Space ◽  
Elastic Properties ◽  
Transversely Isotropic ◽  
Temperature Dependent ◽  
Phase Velocities ◽  
Generalized Thermoelastic ◽  
Temperature Dependent Properties ◽  
Propagation Of Waves

Abstract The present study deals with the propagation of waves in a transversely isotropic micropolar generalized thermoelastic material possessing temperature dependent elastic properties. After developing the solution for LS, GL and CT theory, the phase velocities and attenuation quality factor have been obtained. The expressions for amplitudes of stresses, displacements, microratation and temperature distribution have been derived and computed numerically. The numerically evaluated results have been plotted graphically. Some particular cases of interest have also been obtained.

scholarly journals Wave propagation in micropolar monoclinic thermoelastic half space

2013 ◽  
Vol 18 (4) ◽  
pp. 1013-1023
Author(s):  
R.R. Gupta
Keyword(s):  
Wave Propagation ◽  
Quality Factor ◽  
Plane Strain ◽  
Half Space ◽  
Numerical Results ◽  
Plane Strain Problem ◽  
Phase Velocities ◽  
Propagation Of Waves

Abstract Propagation of waves in a micropolar monoclinic medium possessing hermoelastic properties based on the Lord- Shulman (L-S),Green and Lindsay (G-L) and Coupled thermoelasticty (C-T) theories is discussed. The investigation is divided into two sections, viz., plane strain and anti-plane strain problem. After developing the solution, the phase velocities and attenuation quality factor have been derived and computed numerically. The numerical results have been plotted graphically.

scholarly journals Propagation of waves in the layer of a thermo-viscoelastic transversely isotropic medium

2016 ◽  
Vol 21 (1) ◽  
pp. 21-35
Author(s):  
R.R. Gupta ◽  
R.R. Gupta
Keyword(s):  
Wave Propagation ◽  
Temperature Distribution ◽  
Isotropic Medium ◽  
Lamb Waves ◽  
Transversely Isotropic ◽  
Type Ii ◽  
Transversely Isotropic Medium ◽  
Symmetric Wave ◽  
Secular Equations ◽  
Propagation Of Waves

Abstract The article is presented to enhance our knowledge about the propagation of Lamb waves in the layer of a viscoelastic transversely isotropic medium in the context of thermoelasticity with GN theory of type-II and III. Secular equations for symmetric and skew-symmetric modes of wave propagation in completely separate terms are derived. The amplitudes of displacements and temperature distribution were also obtained. Finally, the numerical solution was carried out for cobalt and the dispersion curves, amplitudes of displacements and temperature distribution for symmetric and skew-symmetric wave modes are presented to evince the effect of anisotropy. Some particular cases are also deduced.

Influence of corrugated boundary surface and reinforcement of fibre-reinforced layer on propagation of torsional surface wave

2016 ◽  
Vol 23 (9) ◽  
pp. 1417-1436 ◽  
Author(s):  
Abhishek Kumar Singh ◽  
Anirban Lakshman ◽  
Amares Chattopadhyay
Keyword(s):  
Surface Wave ◽  
Dispersion Equation ◽  
Half Space ◽  
Boundary Surface ◽  
Lower Boundary ◽  
Transversely Isotropic ◽  
Wave Number ◽  
Torsional Surface Wave ◽  
Propagation Of Waves ◽  
Boundary Surfaces

These days fibre-reinforced materials are frequently used in construction sector for example in dams, bridges etc. Also the earth structure and artificial structure made by human may contain irregularity or corrugation, therefore, propagation of waves and vibrations through these structures gets affected by them. Motivated by these facts the present problem aims to study the propagation of torsional surface wave in a fibre-reinforced layer with corrugated boundary surface overlying an initially stressed transversely isotropic half-space. The closed form of the dispersion equation has been deduced and the notable effect of reinforcement, undulatory parameter of corrugated boundary surfaces of the layer, corrugation parameter of upper and lower boundary surfaces of the layer, initial stress acting in half-space and wave number on the phase velocity of torsional surface wave has been exhibited. The numerical computation along with graphical illustration has been carried out for fibre-reinforced layer of carbon fibre-epoxy resin and T300/5208 graphite/epoxy material for the transversely isotropic half-space. As a special case of the problem, deduced dispersion equation is found in well-agreement with the classical Love wave equation. Comparative study for reinforced and reinforced free layer has been performed and also depicted graphically. Moreover some analysis is made to highlight the important peculiarities of the problem.

The Effects of Diffusion and Temperature-Dependent Properties on Generalized Thermoelastic Behaviors in Thermal Dynamics

2012 ◽  
Vol 625 ◽  
pp. 318-322 ◽  
Author(s):  
Yong Ping Liu ◽  
Shuan Hu Shi
Keyword(s):  
Finite Element ◽  
Diffusion Problem ◽  
Temperature Dependent ◽  
Thermal Dynamics ◽  
Thermoelastic Wave ◽  
Diffusion Wave ◽  
Thermoelastic Diffusion ◽  
Generalized Thermoelastic Diffusion ◽  
Generalized Thermoelastic ◽  
Temperature Dependent Properties

The generalized thermoelastic diffusion problem with temperature-dependent properties is investigated in the context of the theory of generalized thermoelastic diffusion. The problem is solved by means of finite element method and the derived finite element equations are solved directly in time domain. The effects of diffusion and temperature-dependent properties on generalized thermoelastic wave and mass diffusion wave are studied in detail. The results show that all the considered variables have a non-zero value only in a bounded region and vanish identically beyond this region, the temperature-dependent properties act to reduce all the considered variables and the diffusion barely influences the considered variables.

On temperature and stresses in a thermoelastic half-space with temperature dependent properties

Meccanica ◽  
2017 ◽  
Vol 52 (11-12) ◽  
pp. 2789-2799
Author(s):  
Stanisław J. Matysiak ◽  
Dariusz M. Perkowski ◽  
Roman Kulchytsky-Zhyhailo
Keyword(s):  
Half Space ◽  
Temperature Dependent ◽  
Temperature Dependent Properties
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