ABSTRACT

Study of stationary deformation of inhomogeneous anisotropic shells with complicated structure covers the wide range of theoretical and applied problems (Awrejcewicz & Krysko 2003). These problems are associated with the choice of adequate models of analysis and their effective realization. The classical Kirchhoff-Love model provides reliable results in the cases of thin isotropic or orthotropic homogeneousstructuresunder relativelysmoothdistributionof static actions. The Timoshenko-Reissner-Mindlin and Sanders-Budianskyshearmodelsareexpedientinapplication in the case of shells of moderate thickness made of materials pliable for shear (Grigorenko & Vasilenko 1981, Grigorenko et al. 1986). The subsequent broadeningof theclassofelasticobjects isconnectedwith the large thickness of shells, their structural inhomogeneity, complication of properties of modern composite materials, the action of local loads, etc. Analysis of such shell systems is possible on the basis of a nonclassical model with allowance for transverse shears and reduction (Grigorenko et al. 1987).