Acta Mechanica Solida Sinica

, Volume 23, Issue 3, pp 200–212 | Cite as

Electro-Magneto-Thermoelastic Plane Waves in Micropolar Solid Involving Two Temperatures

  • Magdy Ezzat
  • Farid Hamza
  • Emad Awad


The model of equations of micropolar generalized magneto-thermoelasticity is introduced within the context of the theory of two temperatures generalized thermoelasticity and we consider a problem of an isotropic homogeneous micropolar medium taking into account the heat effects and allowing the magnetic field effects. A plane wave analysis is employed to obtain the exact formulas of the two temperatures (conductive and mechanical), displacement components, micro-rotation components, stresses, couple stresses, induced electric current, electric field and magnetic field. Arbitrary application is chosen to enable us to get the complete solution. The considered variables are presented graphically and discussions are made for the results.

Key words

elasticity electromagnetic plane waves micropolar material two temperatures theory heat transfer 


λ, μ

Lame’s constants

α, β, ε, v

Micropolar elastic constants






Components of displacement


Components of rotation


Components of stress


Components of couple stress




Conductive temperature


Mechanical temperature


Reference temperature


Specific heat at constant strain


Coefficient of linear thermal expansion


= (3λ +2μ)α T


Thermal conductivity


Component of heat flux


Two temperature parameter


Relaxation time


Electric displacement vector


Induced electric field vector


Current density vector


Magnetic induction vector


Magnetic intensity vector


Induced magnetic field vector


Initial uniform magnetic field


Charge density


Dielectric constant


Magnetic permeability


Kronecker delta function


Permutation symbol


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2010

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of EducationAlexandria UniversityAlexandriaEgypt
  2. 2.Department of Mathematics, Faculty of ScienceAlexandria UniversityAlexandriaEgypt

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