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The present investigation deals with the study of Green's functions for twodimensional
problem in orthotropic magnetothermoelastic media with mass diffusion. After
applying the dimensionless quantities and using the operator theory, two-dimensional general
solution in orthotropic magnetothermoelastic diffusion media is derived. On the basis of
general solution, the Green's functions for a steady line on the surface of a semi-infinite
orthotropic magnetothermoelastic diffusion material are constructed by four newly introduced
harmonic functions. The components of displacement, stress, temperature distribution and
mass concentration are expressed in terms of elementary functions. From the present
investigation, some special cases of interest are also deduced and compared with the previous
results obtained. The resulting quantities are computed numerically for semi-infinite magneto
thermoelastic material and presented graphically to depict the effect of magnetic.
Keywords: Green's functions; orthotropic; magnetothermoelastic diffusion; semi-infinite; line heat source |
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