The design task of heterogeneous construction element with thermo-force loading is formulated on the basis following suppositions and determined correlations: shell’s thinness, Kirchhoff’s hypothesis, Duhamel-Neumann’s law for temperature stress, Fourier’s heat transfer law, equal-strong criterion, and equation of shells linear theory. Basis peculiarities of shells strain-stress state with equal strain intensity on external layers surfaces are revealed by numerical decision of formulated nonlinear border task.