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The elastodynamics of moving loads, Part 1: The field of a semi-infinite line load moving on the surface of an elastic solid with constant supersonic velocity

Published online by Cambridge University Press:  09 April 2009

Michael Papadopoulos
Michael Papadopoulos
Affiliation:
Mathematica Research CentreUnited States Army, University of Wisconsin, and Univeristy of Melbourne.
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Abstract

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When a semi-infinite line load moves lengthways, at supersonic velocity, on the plane surface of an elastic solid, the resulting velocity field is conical. There are two characteristic cones, one associated with dilatation effects and the other with shear effects. The propagation process is more complicated than the well-known case of conical flow in supersonic aerodynamics not only because of the presence of two cones of discontinuity but also because the presence of a free surface implies interaction between shear and dilatation effects. It is the interaction process at the free surface which is examined in detail in this paper.

The results of this fundamental problem may be extended by the process of superposition to more general steadily moving loads. In particular by differentiating with respect to time, the potential of a steadily moving point load is obtained explicitly.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 3 , Issue 1 , February 1963 , pp. 79 - 92
Copyright
Copyright © Australian Mathematical Society 1963

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