Abstract
The Wiener-Hopf and Cagniard-de Hoop techniques are employed in order to solve a range of transient thermal mixed boundary value problems on the half-space. The thermal field is determined via a rapidly convergent integral, which can be evaluated straightforwardly and quickly on a desktop PC.
Highlights
Significant interest has been shown in determining the disturbances generated when loads are applied on the surface of a half-space
De Hoop reappraised this problem [12], modifying the technique originally devised by Cagniard [6, 7], leading to the well-known Cagniard–de Hoop (CdH) technique
This method has been used widely since, allowing exact solutions to be obtained for a wide range of transient elasticity problems
Summary
Significant interest has been shown in determining the disturbances generated when loads are applied on the surface of a half-space. Mixed boundary conditions are generally difficult to handle even in steady problems, and analytical or semianalytical solutions are frequently only possible by the application of the Wiener–Hopf method [21].
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