Investigation of stress concentration in solving applied problem of shell theory

In this paper, the theory of V. S. Vlasov is used as a basis for mathematical model of deformation of aircrafts having shell structure. The study considers the class of problems limited by the capabilities of Fourier method of separation of variables in differential equations with partial derivatives. The study constructs the algorithms for the efficient analysis of stress concentration in shells with controlled accuracy under local loads by reducing the boundary-value problem to the initial problem.