TWO-DIMENSIONAL GENERALIZED MAGNETOTHERMOELASTIC DIFFUSION PROBLEM FOR A THICK PLATE UNDER LASER PULSE HEATING WITH THREE-PHASE LAG EFFECT

A two-dimensional magnetothermoelastic problem for a thick plate with diffusion in the context of the generalized thermoelasticity theory with three-phase lag effect is considered. The upper surface of the plate is taken to be traction free and heated by a laser beam, and the lower surface to be thermally insulated. The chemical potential on the bounding surface is assumed to be a known function of time. An analytical solution of the problem is derived in the Laplace–Fourier transform domain. The numerical inversions for the stresses, displacement, chemical potential, etc. in the space–time domain are obtained. 
  Автор:  Paul K, Mukhopadhyay B.
Ключевые слова:  generalized thermoelasticity, thermoelastic diffusion, Laplace transform, Fourier transform, laser beam
Стр:  536