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Effect of Diffusion and Laser Pulse on a Poro-Thermoelastic Medium Via Three-Phase-Lag Model

  • Elsayed M. Abd-Elaziz,
  • Mohamed I. A. Othman

摘要

Abstract

The aim of this work is to investigate the effects of diffusion and thermal stress by pulsed laser heating on thermoelastic solids with cavities in the context of a three-phase delay model. The dimensionless governing equations are established, and then the exact expressions of temperature field, displacement component, stress component, concentration field and volume fraction field changes are obtained by using normal mode technique. The material is an isotropic uniform elastic half-space heated by a non-Gaussian laser beam with pulse duration 0.002 ps. Using a magnesium crystal element as an application, the predictions of the model for diffusion and laser pulse-induced three-phase hysteresis on porous thermoelastic media are compared with those of the Green-Naghdi type III theory. The obtained thermal change results are verified by comparison with two theories of thermoelasticity, the three-phase lag (3PHL) model and the Green and Nagdi type III theory. Plot the field quantities to examine the effect of the laser pulse at two different values of time and the effect void parameter. This study also yields some interesting special cases.