Geomechanics and Engineering

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Generalized magneto-thermo-microstretch elastic solid with finite element method under the effect of gravity via different theories

  • Othman, Mohamed I.A. (Department of Mathematics, Faculty of Science, Zagazig University) ;
  • Abbas, Ibrahim A. (Nonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University) ;
  • Abo-Dahab, S.M. (Department of Mathematics, Faculty of Science, South Valley University)
  • Received : 2021.02.10
  • Accepted : 2021.09.28
  • Published : 2021.10.10
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Abstract

The present paper is aimed at studying the effect of gravity on the general model of the equations of generalized magneto-thermo-micro-stretch for a homogeneous isotropic elastic half-space solid. The problem is in the context of the Green-Lindsay (G-L) theories, as well as the coupled theory (CT). Finite element method is used to obtain the expressions for the displacement components, the force stresses, the temperature, the couple stresses, and the micro-stress distribution. Comparisons are made with the results in the presence and absence of gravity and magnetic field of a particular case for the generalized micropolar thermo-elasticity elastic medium (without micro-stretch constants) between the three theories.

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References

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