Study of the Nonlinearly Elastic State of an Orthotropic Cylindrical Shell with a Hole, Using Mixed Functionals

An analogy is established between some terms of the functionals under consideration and the formulas of the theory of random processes. On this basis, the efficiency of mixed functionals is attributed to a deeper minimum they help to reach by taking the energy of so-called false strains into consideration. We perform a numerical stress—strain analysis of an organoplastic cylindrical shell with a side circular hole and study how the orthotropy and nonlinear properties of the composite affect the stress distribution near the hole. The case is discovered where the orientation of the composite about the cylindrical shell changes so that a larger nonlinear effect corresponds to a smaller initial stress