Axially symmetric problem of local separation of an elastic half-space from a rigid base due to a point source of cooling

2011 ◽  
Vol 178 (5) ◽  
pp. 467-479 ◽  
Author(s):  
B. Ye. Monastyrskyy ◽  
M. M. Mykytyn
Keyword(s):  
Point Source ◽  
Half Space ◽  
Elastic Half Space ◽  
Rigid Base ◽  
Symmetric Problem ◽  
Axially Symmetric

Dynamic response of an elastic half-space to time-dependent surface tractions over an embedded spherical cavity

1965 ◽  
Vol 287 (1411) ◽  
pp. 549-567 ◽  
Keyword(s):  
General Solution ◽  
Point Source ◽  
Half Space ◽  
Dynamic Problem ◽  
Spherical Cavity ◽  
Elastic Half Space ◽  
Time Dependent ◽  
Successive Approximations ◽  
Method Of Successive Approximations ◽  
Limit Case

The dynamic problem of the deformation of a homogeneous, perfectly elastic and isotropic half space due to harmonically time-dependent tractions over the boundary of an embedded spherical cavity is discussed. The solution is developed completely and rigorously by a method of successive approximations. Lamb’s solution for a point source in a half-space is derived as a limit case of the general solution. The problem is suggested by its applications in the theory of underground explosions and in seismology.

Sign in / Sign up

Export Citation Format

Share Document