Thermoelastic plane waves for an elastic solid half-space under hydrostatic initial stress of type III

Meccanica ◽  
2011 ◽  
Vol 47 (6) ◽  
pp. 1337-1347 ◽  
Author(s):  
Mohamed I. A. Othman ◽  
Sarhan Y. Atwa
Keyword(s):  
Initial Stress ◽  
Half Space ◽  
Plane Waves ◽  
Elastic Solid ◽  
Type Iii ◽  
Hydrostatic Initial Stress

scholarly journals Developments in the Reflection of plane waves

2021 ◽  
Vol 23 (07) ◽  
pp. 950-956
Author(s):  
Surbhi Sharma ◽  
◽  
Heena Sharma ◽  
Keyword(s):  
Free Surface ◽  
Initial Stress ◽  
Plane Waves ◽  
Elastic Media ◽  
Basic Equations ◽  
Hydrostatic Initial Stress

The present paper deals with the reflection of plane waves from the free surface. In this paper, we discuss the relatable background of the reflection of plane waves. The basic equations for isotropic and homogeneous generalized thermo-elastic media under hydrostatic initial stress are discussed in the context of thermo-elasticity.

Reflection of plane waves from the boundary of an initially stressed incompressible half-space

2017 ◽  
Vol 24 (2) ◽  
pp. 406-433 ◽  
Author(s):  
M Shams
Keyword(s):  
Initial Stress ◽  
Half Space ◽  
Plane Waves ◽  
Strain Energy Function ◽  
Prototype Strain ◽  
Incompressible Material ◽  
Elastic Half Space ◽  
Theory Of Elasticity ◽  
Plane Boundary ◽  
Infinitesimal Deformations

In this paper, nonlinear theory of elasticity is used to study the effect of initial stress on plane waves in an incompressible material. For this problem, the initial stress is not associated with a finite elastic deformation and the material is assumed to be isotropic in the absence of the initial stress. The theory of superposition of infinitesimal deformations on finite deformation is applied to a problem of plane incremental motions in an initially stressed incompressible homogeneous elastic half-space. The general formulation of the problem is presented first and then specialized using a prototype strain energy function. Homogeneous plane waves are considered and the analysis is carried out for incompressible materials in both the deformed and the undeformed reference configurations. In addition to this, problems for the reflection of small amplitude homogeneous waves from the plane boundary of an initially stressed half-space are also considered and graphical results are included, which show the effect of initial stress on reflection. It is noted that the reflection coefficients in this case behave in a similar fashion when the initial stress is a pre-stress.

Stresses due to moving load on the surface of an irregular magneto-elastic monoclinic half-space under hydrostatic initial stress

2016 ◽  
Vol 24 (13) ◽  
pp. 1094-1108 ◽  
Author(s):  
Kshitish Ch. Mistri ◽  
Abhishek Kumar Singh ◽  
Ram Prasad Yadav ◽  
Amares Chattopadhyay
Keyword(s):  
Initial Stress ◽  
Half Space ◽  
Moving Load ◽  
Hydrostatic Initial Stress

On Rayleigh wave in generalized magneto-thermoelastic media with hydrostatic initial stress

2012 ◽  
Vol 60 (2) ◽  
pp. 349-352 ◽  
Author(s):  
B. Singh ◽  
S. Kumari ◽  
J. Singh
Keyword(s):  
Rayleigh Wave ◽  
Initial Stress ◽  
Half Space ◽  
Attenuation Factor ◽  
Frequency Equation ◽  
Thermal Coupling ◽  
Reduced Frequency ◽  
Amplitude Attenuation ◽  
Velocity Of Propagation ◽  
Hydrostatic Initial Stress

Abstract. The governing equations of generalized magneto-thermoelasticity with hydrostatic initial stress are solved for surface wave solutions. The particular solutions in the half-space are applied to the boundary conditions at the free surface of the half-space to obtain the frequency equation of Rayleigh wave. The frequency equation is approximated for small thermal coupling and small reduced frequency. The velocity of propagation and amplitude-attenuation factor of Rayleigh wave are computed numerically for a particular material. Effects of magnetic field and hydrostatic initial stress on the velocity of the propagation and amplitude-attenuation factor are shown graphically.

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