On phase-lag Green–Naghdi theory without energy dissipation for electro-thermoelasticity including heat sources

• Sayed I. El-Attar ^[1] ; Mohamed H. Hendy ^[1] ; Magdy A. Ezzat ^[2]
  1. [1] Northern Border University

     Northern Border University

     Arabia Saudí

     
  2. [2] Alexandria University

     Alexandria University

     Egipto

     
• Localización: Mechanics based design of structures and machines, ISSN 1539-7734, Vol. 47, Nº. 6, 2019, págs. 769-786
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • A mathematical model of electro-thermoelasticity has been constructed in the context of a new consideration of heat conduction with phase-lag Green-Naghdi theory without energy dissipation (GN-II). The equations for one-dimensional problems including heat sources are cast into matrix form using the state space and Laplace transform techniques. The resulting formulation is applied to a problem for the whole space with a plane distribution of heat sources. It is also applied to a thermoelectric semi-space problem with a traction-free surface and plane distribution of heat sources located inside the medium. The inversion of the Laplace transforms is carried out using a numerical approach. Numerical results for the temperature, displacement, and stress distributions are given and illustrated graphically for the whole space with a plane distribution of heat sources problem.