Closed-form expressions are obtained for the normal surface displacements due to a normal point force moving at constant speed over the surface of an elastic half-space. The Smirnov-Sobolev technique is used to reduce the problem to a linear superposition of two-dimensional stress and displacement fields.
Issue Section:
Technical Papers
1.
Barber, J. R., 1992, Elasticity, Kluwer, Dordrecht.
2.
Barber
J. R.
Sturla
F. A.
1992
, “Application of the reciprocal theorem to some problems for the elastic half-space
,” Journal of the Mechanics and Physics of Solids
, Vol. 40
, pp. 17
–25
.3.
Churilov
V. A.
1977
, “On the effect of a normal load moving at constant velocity along the boundary of an elastic half-space
,” Journal of Applied Mathematics and Mechanics
, Vol. 41
, pp. 125
–132
.4.
Churilov
V. A.
1978
, “Action of an elliptic stamp moving at a constant speed on an elastic half-space
,” Journal of Applied Mathematics and Mechanics
, Vol. 42
, pp. 1176
–1182
.5.
Cole
J. D.
Huth
J. H.
1958
, “Stresses Produced in a Half-Plane by Moving Loads
,” ASME JOURNAL OF APPLIED MECHANICS
, Vol. 25
, pp. 433
–436
.6.
Eringen, A. C., and Suhubi, E. S., 1975, Elastodynamics, Vol. II, Academic Press, New York.
7.
Georgiadis
H. G.
Barber
J. R.
1993
a, “On the super-Rayleigh/subseismic elastodynamic indentation problem
,” Journal of Elasticity
, Vol. 31
, pp. 141
–161
.8.
Georgiadis
H. G.
Barber
J. R.
1993
b, “Steady-State Transonic Motion of a Line Load Over an Elastic Half-Space (The Corrected Cole/Huth Solution)
,” ASME JOURNAL OF APPLIED MECHANICS
, Vol. 60
, pp. 772
–774
.9.
Gradshteyn, I. S., and Ryzhik, I. M., 1980, Tables of Integrals, Series and Products, Academic Press, New York.
10.
Payton
R. G.
1964
, “An application of the dynamic Betti-Rayleigh reciprocal theorem to moving point loads in elastic media
,” Quarterly of Applied Mathematics
, Vol. 21
, pp. 299
–313
.11.
Rahman, Mujibur, 1990, private communication.
12.
Rahman
Mujibur
Barber
J. R.
1995
, “Exact Expressions for the Roots of the Secular Equation for Rayleigh Waves
,” ASME JOURNAL OF APPLIED MECHANICS
, Vol. 62
, pp. 250
–252
.13.
Sveklo
V. A.
1964
, “Boussinesq type problems for the anisotropic half-space
,” Journal of Applied Mathematics and Mechanics
, Vol. 28
, pp. 1099
–1105
.14.
Willis
J. R.
1967
, “Boussinesq problems for an anisotropic half-space
,” Journal of the Mechanics and Physics of Solids
, Vol. 15
, pp. 331
–339
.
This content is only available via PDF.
Copyright © 1996
by The American Society of Mechanical Engineers
You do not currently have access to this content.