Transient motion of a line load on the surface of an elastic half-space
Open Access
- 1 January 1960
- journal article
- Published by American Mathematical Society (AMS) in Quarterly of Applied Mathematics
- Vol. 18 (3) , 251-256
- https://doi.org/10.1090/qam/114399
Abstract
The present paper studies the wave patterns generated in an elastic half-space by a line load moving on its surface with a velocity varying as a step function of time. The solution given in closed form is obtained by means of Fourier integral equations techniques following a Laplace transformation with respect to the time variable. The inversion of the Laplace transforms is based on a trick due to Cagniard and De Hoop.Keywords
This publication has 3 references indexed in Scilit:
- Elastic Waves Generated by a Force Moving Along a CrackJournal of Mathematics and Physics, 1959
- Stresses Produced in a Half Plane by Moving LoadsJournal of Applied Mechanics, 1958
- The stress produced by a pulse of pressure moving along the surface of a semi-infinite solidRendiconti del Circolo Matematico di Palermo Series 2, 1952