![Bazhenov, V. A., Krivenko O.P., & Solovei, N. A. (2013). Nonlinear deformation and stability of elastic shells of inhomogeneous structure: Models, methods, algorithms, poorly studied and new problems. Moscow: Publishing house “LIBROKOM”, 336 p. [in Russian].](../mediafiles/l66.jpg)
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The monograph deals with the development of the finite element method for geometrically nonlinear deformation, buckling, and postbuckling behavior of a wide class of thin elastic inhomogeneous shells with complex form and structure under combined thermomechanical loading. The approach is based on the uniform methodological positions of three-dimensional thermo-elasticity with using of the geometrically nonlinear equations and the moment finite-element scheme. A universal spatial finite element with the additional variable parameters has been developed. On the basis of this element it has been constructed a design model that describes the multilayer structure of a material and geometric features of structural elements of inhomogeneous shells: casing of varying thickness, ribs, cover plates, cavities, channels, holes and the midsurface with the sharp bends. The reliability of linear and nonlinear solutions for a wide class of inhomogeneous shells subjected to thermal and mechanical loads has been numerically justified by analyzing their convergence and comparing with those obtained by other authors. By solving poorly studied problems, we have been obtained results, which allowed us to better understand the nonlinear deformation, buckling, and postbuckling behavior of inhomogeneous shells under change of the modes of thermomechanical loading.
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