Abstract
The dual-phase-lag heat transfer model is applied for an isotropic solid sphere. The solution of the problem is carried out when the boundary of the sphere is maintained at constant heat flux and the displacement of the surface is constrained. The analytical solutions of the displacement, temperature, and stresses are determined. Laplace transform technique is used to obtain the solution. The solution of the problem in the physical domain is obtained by using a numerical method for the inversion of the Laplace transforms based on Fourier series expansions. Numerical values of displacement, temperature, and stresses are computed for a particular material and presented graphically. A comparison with other thermoelasticity theories also has been studied.