Three-Dimensional Analysis of Metal-Ceramic Shells by the Method of Sampling Surfaces

An efficient method for solving three-dimensional elasticity problems for metal-ceramic composite shells is presented. According to this method, in the shell body, N sampling surfaces (SaS) parallel to its midsurface are chosen in order to introduce the displacement vectors of these surfaces as unknown functions. The SaS pass through the nodes of a Chebyshev polynomial, which improves the convergence of the SaS method significantly. As a result, this method can be applied to the derivation of such analytical solutions for metal-ceramic shells that asymptotically approach the exact three-dimensional solutions of elasticity as the number N of SaS tends to infinity.