Abstract
The derived differential equations govern a coupled linear thermoelastic behaviour in the frame of the Kirchhoff-Love model with the neglected effect of shell element rotary inertia. Then an abstract Cauchy problem for a coupled system by two differential equations in the Hilbert space is defined. It generalizes a series of coupled thermoelastic problems including those considered previously (Kirchhoff-Love and Timoshenko-type shells). All considerations are valid for a wide class of initial and boundary value problems.
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