An exact solution is constructed for the boundary value problem of the theory of elasticity in a rectangle, in which two opposite (horizontal) sides are free, and normal stresses are given on the other two (the ends of the rectangle) (even-symmetric deformation relative to the central axes). The solution is constructed in the form of expansions in Papkovich–Fadle eigenfunctions. The expansion coefficients are determined by simple closed formulas.

Topics
Thermal effects
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