Eigenvalue approach to the solution of generalized thermoelastic interactions in an infinite body with cylindrical cavity
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A generalized thermoelastic problem with temperature- dependent modulus of elasticity and thermal conductivity has been considered in an infinite medium with a cylindrical cavity. After applying Laplace-transformation the basic equations are presented in the form of a vector-matrix differential equation and then are solved by eigen-value method. Finally, the expressions of radial displacement, temperature and stress distribution are shown graphically for two different cases to compare the situations between the temperature-dependent and temperature-independent material properties in the inverse Laplace domain.
- SIMC 2015