scholarly journals Steady-state thermo-elastic field in an infinite medium weakened by a penny-shaped crack: Complete and exact solutions

2016 ◽  
Vol 84 ◽  
pp. 167-182 ◽  
Author(s):  
X.-Y. Li ◽  
P.-D. Li ◽  
G.-Z. Kang ◽  
W.-Q. Chen ◽  
R. Müller
Keyword(s):  
Steady State ◽  
Exact Solutions ◽  
Elastic Field ◽  
Infinite Medium ◽  
Penny Shaped Crack ◽  
Shaped Crack

Penny-shaped crack in a sphere embedded in an infinite medium

1979 ◽  
Vol 17 (3) ◽  
pp. 259-269 ◽  
Author(s):  
Ranjit S. Dhaliwal ◽  
Jon G. Rokne ◽  
Brij M. Singh
Keyword(s):  
Infinite Medium ◽  
Penny Shaped Crack ◽  
Shaped Crack

Steady-state thermoelasticity for initially stressed bodies

1961 ◽  
Vol 253 (1034) ◽  
pp. 517-542 ◽  
Keyword(s):  
Steady State ◽  
Temperature Distribution ◽  
Large Deformation ◽  
Half Space ◽  
Stress And Strain ◽  
Uniform Temperature ◽  
Steady State Temperature ◽  
Penny Shaped Crack ◽  
Stress Functions ◽  
Shaped Crack

An elastic body, deformed from a state of zero stress and strain and uniform temperature by a large deformation and steady-state temperature distribution, is subsequently subjected to small displacements and steady-state temperature distributions. After a general analysis of the problem the work is specialized to the case when the initial large deformation is homogeneous at constant temperature. A general solution of the equations for the small superposed deformation and steady-state temperature distribution is obtained in terms of three stress functions valid for some regions of space including the half space and thick uniform plate, when two perpendicular extension ratios of the initial homogeneous deformation are equal. Applications are made to problems of a plane circular (penny-shaped) crack in an infinite medium and to half-space problems.

Note on a penny-shaped crack under shear

1951 ◽  
Vol 47 (2) ◽  
pp. 396-400 ◽  
Author(s):  
C. M. Segedin
Keyword(s):  
Infinite Medium ◽  
Two Dimensional ◽  
Shearing Stress ◽  
Dimensional Problem ◽  
Penny Shaped Crack ◽  
The Face ◽  
Shaped Crack

Sack (3) and Sneddon (4) have considered the problem of a penny-shaped crack in an infinite medium under tension normal to the face of the crack. The same problem has been considered more recently by Green (1) by a different method. In this note we consider the case of the same shaped crack with the medium subjected to a uniform shearing stress parallel to the plane of the crack. It is found that the solution is analogous to that of the corresponding two-dimensional problem considered by Starr (5).

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