Abstract
We propose a physico-mathematical model and state a problem of stress-optimization of regimes for heating thin piecewise homogeneous glass shells of revolution with given ranges of admissible temperature and stress values by means of an optimal choice of temperature for the surrounding medium. To solve the problem we apply the method of local variations with a specially chosen initial value of the control function and numerical analytic solution of the corresponding direct problem of thermomechanics for the shell in question.
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