Abstract:
The equations of unbound thermoelasticity in the spatially one-dimensional case are considered that describe the dynamics of rods with allowance for their thermoelastic properties for longitudinal vibrations. A generalized Fourier transform of the matrix of fundamental solutions is constructed and its regularization is carried out to reconstruct the original of the Green’s tensor. The Green’s tensor of the equations of unbound thermoelasticity is constructed, which describes the thermodynamics of the medium under the action of instant concentrated power and thermal sources. Generalized solutions of the equations of unbound thermoelasticity are obtained and their regular integral representations are given.
Keywords:thermoelastic core, uncoupled thermoelasticity, displacement of the environment, temperature, stresses, fundamental solutions, generalized functions.
