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Thermoelastic stability of bimetallic shallow shells of revolution. (English) Zbl 1123.74018

Summary: This article considers the thermoelastic stability of bimetallic shallow shells of revolution. Basic equations are derived from Reissner’s nonlinear theory of shells by assuming that deformations and rotations are small and that materials are linearly elastic. The equations are further specialized for a closed spherical cup. For this case the perturbated initial state is considered, and it is shown that only in the cases when the cup edge is free or simply supported the buckling under heating is possible. Further the perturbated flat state is considered, and the critical temperature for buckling is calculated for free and simply supported edges. The temperature-deflection diagrams are calculated by the use of collocation method for shallow spherical, conical and cubic shells.

MSC:

74G60 Bifurcation and buckling
74K25 Shells
74F05 Thermal effects in solid mechanics
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