Effect of distributed instantaneous and continuous heat sources in an infinite conducting magneto-thermo-viscoelastic solid with thermal relaxation
✍ Scribed by B. Mukhopadhyay; R.K. Bera
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 271 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
Al~traet--The generalised dynamical theory of thermoelasticity is applied to solve the problem of determination of the distribution of temperature, deformation, stress and strain in an infinite isotropic viscoelastic solid of Kelvin-Voigt type permeated by uniform magnetic field having distributed instantaneous and continuous heat sources. The solutions are derived by the use of Laplace transform on time and Fourier transform on space. Since the effects of relaxation time on thermo-viscoelastic interactions are short-lived, wave fronts and short time approximations are considered. NOMENCLATURE B--magnetic induction vector = #fl-I Cv---specific heat of the solid at constant strain E--electric field vector e#,--component of strain tensor H total magnetic field vector K--thermal conductivity of the solid = pc~k k--thermal diffusivity Q--heat source term q;---component of heat flux vector T--change in the absolute reference temperature T* u~--component of the displacement vector ~tf--Coellicient of linear thermal expansion fl--(32 e + 2Ue)~tt A--dilation 2e, #e, 2. #v--Lam6 constants for elastic and viscoelastic solids #f--magnetic permeability of the medium p-constant mass density ~--electric conductivity of the medium %.-component of stress tensor T0--thermal relaxation time