Quasistatic Problem of Thermoelasticity for a Cylindrical Shell with Heat Sources and Heat Exchange

On the calculation of thermoelastic processes in a cylindrical shell with local heat sources

“…Thus, for the distribution (11), the greatest value of the force (compression) N (0; τ ) is reached at τ 0 ≈ 0.09 and 30% higher than it is at the time τ 0 = 0.275 when the temperature T (0; τ ) reaches the maximum. For the distribution of sources (12), the greatest force (compression) corresponds to the moment of time τ 0 = 0.545 and only 7% exceeds the level of force calculated at τ 0 = 0, 750, i.e. the time during which the temperature rises to its maximum, which is explained by a much smoother temperature change in time for this time mode.…”

“…These features are taken into account in the model of S. Tymoshenko [9], according to which the normal to the surface of the shell in the process of deformation turns through some angle, without changing its length. In this formulation, previously we solved [10,11] the axisymmetric problem of thermoelasticity both for infinitely long and short shells under the action of local longitudinal heat sources in the steady regime of heating, and we carried out a comparison of the results with the corresponding values of the calculated values obtained for the problem in the classical formulation [12] without taking into account the interstrains of the layers.…”