Uniform approximations to pulses diffracted by a crack
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Abstract
This report discusses the pulses diffracted from a half-plane crack when it is struck by a plane compressional pulse. These pulses are approximated at their wave fronts by uniform asymptotic expansions. These approximations are used to define precisely the regions in which the geometrical theory of diffraction is not accurate.
Keywords
Mathematical Method Asymptotic Expansion Wave Front Uniform Approximation Geometrical TheoryRésumé
Cet article traite des ondes diffractées qui résultent quand une onde de compression plane rencontre une fissure en forme de demi-plan. Des développements asymptotiques donnent des approximations pour ces ondes diffractées. Ces approximations sont uniformes et sont exactes au front de l'onde. Elles permettent de délimiter les régions où la théorie géométrique de la diffraction n'est pas précise.
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