scholarly journals Circular punch indentation into continuously inhomogeneous thermoelastic half space under given constant temperature at its flat bottom

10.12737/3502 ◽  
2014 ◽  
Vol 14 (1) ◽  
pp. 34-44
Author(s):  
Boris Mitrin ◽  
Sergey Ayzikovich ◽  
Leonid- Krenyov-
Keyword(s):  
Half Space ◽  
Constant Temperature ◽  
Flat Bottom ◽  
Circular Punch

Constant Temperature at the Surface of an Initially Uniform Temperature, Variable Conductivity Half Space

1971 ◽  
Vol 93 (1) ◽  
pp. 55-60 ◽  
Author(s):  
Leonard Y. Cooper
Keyword(s):  
Temperature Distribution ◽  
Half Space ◽  
Constant Temperature ◽  
Analytic Solutions ◽  
Numerical Results ◽  
Transient Temperature ◽  
Uniform Temperature ◽  
Transient Temperature Distribution ◽  
Temperature Variable ◽  
Variable Conductivity

The transient temperature distribution resulting from a constant and uniform temperature being imposed on the surface of an initially uniform temperature, variable conductivity half space is studied. Various solution expansion ideas are discussed. These are utilized in the solution of an example problem, and the resulting approximate analytic solutions representations are compared to exact numerical results. One of these approximations is found to be superior to the others, and, in fact, it is shown to yield useful results over a range of variables where the nonlinearities of the problem are significant.

The Interaction Between a System of Circular Punches on an Elastic Half Space

1982 ◽  
Vol 49 (2) ◽  
pp. 341-344 ◽  
Author(s):  
G. M. L. Gladwell ◽  
V. I. Fabrikant
Keyword(s):  
Half Space ◽  
Approximate Solutions ◽  
Elastic Half Space ◽  
Concentrated Load ◽  
Circular Punch

Galin derived an expression for the pressure produced under a rigid circular punch by the application of a concentrated load at another point of the half space. This result is used to derive approximate relationships among the forces, moments, and indentations for a system of punches on an elastic half space. The results are compared with a number of earlier approximate solutions.

Thermo-elastic Rayleigh waves in a prestressed medium

1962 ◽  
Vol 58 (3) ◽  
pp. 532-538 ◽  
Author(s):  
J. N. Flavin
Keyword(s):  
Half Space ◽  
Constant Temperature ◽  
Rayleigh Waves ◽  
The Other ◽  
Elastic Theory ◽  
Isothermal Conditions

ABSTRACTWe consider the propagation of thermo-elastic Rayleigh waves in a half space, which has been subjected to large uniform extensions, at constant temperature, in three mutually perpendicular directions, one being perpendicular to the surface, and the extension ratios in the other two directions being equal. Rayleigh waves, assuming (a) isentropic conditions and (b) isothermal conditions, are studied, and the relation of the approximation (a) to the exact thermo-elastic theory is considered.

scholarly journals Axisymmetric problem on the indentation of a hot circular punch into an arbitrarily nonhomogeneous half-space

2015 ◽  
Vol 59 ◽  
pp. 18-28 ◽  
Author(s):  
Leonid I. Krenev ◽  
Sergey M. Aizikovich ◽  
Yuriy V. Tokovyy ◽  
Yun-Che Wang
Keyword(s):  
Half Space ◽  
Axisymmetric Problem ◽  
Circular Punch
Sign in / Sign up

Export Citation Format

Share Document