The dynamic problem of a circular punch at the boundary of an elastic half-space

1971 ◽  
Vol 7 (2) ◽  
pp. 151-159
Author(s):  
V. L. Lobysev ◽  
V. I. Saigina ◽  
Yu. S. Yakovlev
Keyword(s):  
Half Space ◽  
Dynamic Problem ◽  
Elastic Half Space ◽  
Circular Punch

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.

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.

scholarly journals RESEARCH OF ACOUSTIC EMISSIONS FROM THE SYSTEM OF COMPLANARY CRACKS

2021 ◽  
Vol 3 (1) ◽  
pp. 45-50
Author(s):  
Olena Stankevych ◽  
◽  
Nazar Stankevych ◽  
Keyword(s):  
Integral Equations ◽  
Half Space ◽  
Displacement Field ◽  
Dynamic Problem ◽  
Boundary Integral Equations ◽  
Acoustic Emissions ◽  
Elastic Half Space ◽  
Boundary Integral ◽  
Wave Number ◽  
Coplanar Cracks

The dynamic problem of the displacement field in an elastic half-space caused by the time-steady displacement of the surfaces of the system of disc-shaped coplanar cracks is solved. The solutions are obtained by the method of boundary integral equations. The dependences of elastic displacements on the surface of the half-space on the wave number, the number of defects and the depths of their occurrence are constructed.

Torsion of a circular punch attached to an elastic half-space with a coating with periodically depth-varying elastic properties

2015 ◽  
Vol 86 (7) ◽  
pp. 1247-1254 ◽  
Author(s):  
Andrey S. Vasiliev ◽  
Michael V. Swain ◽  
Sergey M. Aizikovich ◽  
Evgeniy V. Sadyrin
Keyword(s):  
Half Space ◽  
Elastic Properties ◽  
Elastic Half Space ◽  
Circular Punch
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