scholarly journals One-dimensional thermoelastic waves in elastic half-space with dual phase-lag effects

2007 ◽  
Vol 2 (3) ◽  
pp. 489-503 ◽  
Author(s):  
Snehanshu Kr. RoyChoudhuri
Keyword(s):  
Half Space ◽  
Elastic Half Space ◽  
Phase Lag ◽  
Dual Phase ◽  
One Dimensional ◽  
Lag Effects ◽  
Thermoelastic Waves

scholarly journals Heating a 2D Thermoelastic Half-Space Induced by Volumetric Absorption of a Laser Radiation

Mathematics ◽  
2020 ◽  
Vol 8 (11) ◽  
pp. 2094
Author(s):  
Ismail M. Tayel
Keyword(s):  
Laser Radiation ◽  
Half Space ◽  
Laplace Transformation ◽  
Integral Transforms ◽  
Infinite Medium ◽  
Heat Losses ◽  
Phase Lag ◽  
Dual Phase ◽  
Temperature Dependent

In this work, the generalized theory with dual-phase-lag of thermoelasticity is employed to study the influences induced by absorbing a penetrating laser radiation inside a 2D thermoelastic semi-infinite medium. The medium’s surface is presumed to be exposed to temperature-dependent heat losses and is traction-free. The considered problem is solved using the integral transforms technique by applying the double-transformation Laplace and Hankel. A numerical fashion is applied to obtain the inverse of the Laplace transformation. The results of this problem are presented graphically for some studied fields.

Bond of tube in semi-infinite elastic solid

1980 ◽  
Vol 15 (2) ◽  
pp. 53-62 ◽  
Author(s):  
J W Ivering
Keyword(s):  
Half Space ◽  
Three Dimensional ◽  
Elastic Solid ◽  
Elastic Half Space ◽  
Infinite Medium ◽  
Bond Stress ◽  
Elastic Analysis ◽  
One Dimensional ◽  
Stress Curve ◽  
Tube Segment

The analysis of the bond stress of a thick-walled tube embedded at the surface of an elastic, isotropic, semi-infinite medium is presented. The condition of three-dimensional compatibility between the tube and the anchorage medium is taken into account. An equilibrium equation for a segment of an embedded tube is derived, from which bond stresses acting on the tube can be computed. The general solution obtained relates to the vector function for a uniform lineal load acting perpendicularly to the surface of an elastic half-space. The solution is in agreement with equations derived independently for cases of one-dimensional (lineal) compatibility. The equation of equilibrium derived for a tube segment embedded at the surface of an elastic half-space is transformed to a form suitable for solving the bond stresses of a tube anchorage embedded at some distance from the surface. A numerical solution of bond stresses obtained by elastic analysis is compared to the bond stress curve along the anchorage obtained experimentally.

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