A 2D problem of thermoelasticity without energy dissipation for a sphere subjected to axisymmetric temperature distribution

摘要

We solve a 2D problem fora sphere in the theory of therrrioelasticity without energy dissipation WED. The sphere's surface is taken to be traction free and subjected to an axisymmetric temperature distribution that is harmonic in time. A direct approach is used to solve the problem. We consider two different cases of the boundary conditions. The collocation method was used in one of them where we could not obtain the exact solution. Numerical results are represented graphically and discussed.