Acta Mechanica Solida Sinica

, Volume 25, Issue 2, pp 197–209 | Cite as

Response of Micropolar Thermoelastic Solid with Voids Due to Various Sources Under Green Naghdi Theory

  • Mohamed Ibrahim Ahmed Othman
  • Sarhan Youssef Atwa
Article

Abstract

Green-Naghdi (G-N) theory of thermoelasticity is employed to study the deformation of micropolar thermoelastic solid with voids considering the influence of various sources acting on the plane surface. The normal mode analysis is used to obtain the analytical expressions of the displacement components, force stress, coupled stress, variation of volume fraction field and temperature distribution. The computed results are presented graphically when the volume source is applied. Comparisons of type II and type III with and without micropolarity effect are made with the results predicted in the context of (G-N) theory.

Key words

micropolar thermoelastic solid volume fraction coupled stress energy dissipation voids 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2012

Authors and Affiliations

  • Mohamed Ibrahim Ahmed Othman
    • 1
  • Sarhan Youssef Atwa
    • 1
    • 2
    • 3
  1. 1.Department of Mathematics, Faculty of ScienceZagazig UniversityZagazigEgypt
  2. 2.Higher Institute of Engineer, Dept. of Eng. Math. and PhysicsShorouk AcademyCairoEgypt
  3. 3.Faculty of Science, Department of mathematicsShaqra UniversityAL-QuwaiyahSaudi Arabia

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