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Non-Destructive Evaluation of Stress Field in Billets by Ultrasonic Technique

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Author Affiliations

  • 1Department of Mechanical Engineering, Eslamshahr Branch, Islamic Azad University, Tehran, IRAN
  • 2Department of Chemistry, Eslamshahr Branch, Islamic Azad University, Tehran, IRAN
  • 3Department of Mechanical Engineering, University of Utah, Utah, USA

Res. J. Recent Sci., Volume 4, Issue (10), Pages 86-92, October,2 (2015)

Abstract

The equations of particle motion in an anisotropic elastic media in the presence of the stress have been derived. These equations are nonlinear and in the form of twenty seven variable of displacement gradients and hence they are not applicable in the practical works. Due to the fact that the particle displacement is composed of two parts, the static part caused by the applied stress and the dynamic part due to the propagating stress wave, to linearize the equations of motion, a Taylor series expansion about the static deformation state is used. Three linearized components of the equations of motion have the form of an eigenvalue problem and its solution gives the wave velocities in the billet in the presence of stress. The analytical results in time delay for one dimensional stress field in a billet are compared with the experimental results and there is a reasonable agreement between them.

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