A coupled dynamic problem of thermoelasticity for a finite cylinder. (Russian. English summary) Zbl 1218.74010

Summary: In the present study a closed-form solution of a coupled dynamic thermoelastic problem for a finite cylinder is obtained. The solution is in the form of a spectral expansion based on the biorthogonal system of eigenfunctions of a non-self-adjoint differential pencil generated by the initial-boundary value problem under consideration. The eigenfunction expansion is then explicitly obtained by means of a special class of asymmetric integral transformations.


74F05 Thermal effects in solid mechanics
74G05 Explicit solutions of equilibrium problems in solid mechanics