The equations of generalized thermoelasticity for an anisotropic medium are derived. Also, a uniqueness theorem for these equations is proved. A variational principle for the equations of motion is obtained.
In this paper the equation of equilibrium for a nonhomogeneous isotropic elastic solid under shear has been solved in rectangular Cartesian coordinates as well as in cylindrical polar coordinates. The modulus of rigidity of the material is assumed to vary in lateral as well as vertical directions. As an example, the above solution has been used to solve the problem of a Griffith crack in an infinite solid under shear.
In this paper the theory of generalized thennoelasticity is used to solve a bormdary-value problem of an isotropic elastic half-space with its plane boundary held rigidly fired and subjected to a sudden temperature increase. Approximate small time solution is obtained by using the Laplace transform method. Numerical values of stress and temperature have been obtained. It hav been noticed that the displacement is continuour and that there are two discontinuities in both the stress and temperature jiuictions.
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