Features of Finite Element Modeling for Buckling Analysis of Elastic Shells with Inhomogeneous Structure under Thermomechanical Loads
DOI:
https://doi.org/10.32347/2410-2547.2026.116.50-66Keywords:
thin inhomogeneous shell, geometrically nonlinear deformation, buckling, thermomechanical loading, universal 3D finite element, finite element moment schemeAbstract
The method for studying the behavior of elastic inhomogeneous shells is based on geometrically nonlinear relationships of the three-dimensional theory of thermoelasticity, the principles of the finite element moment scheme, and the use of a modifiable universal 3d finite element with additional variable parameters. For the analysis of geometrically nonlinear deformation, buckling, post-buckling behavior, and natural vibrations of shells under static thermomechanical loading, an integral approach is employed. A comprehensive study of the stability and natural vibrations of shells subjected to static thermomechanical loading is implemented using a stepwise algorithm. A distinctive feature of the method and the algorithm developed on its basis is the capability to accurately analyze both the pre-buckling and post-buckling states of shell deformation with various thickness features, including ribs, channels, etc. The specificity of the method and algorithm lies in the adopted methodology for prescribing thermomechanical loading as a function. This enables the definition of various loading regimes and the description of complex combined thermomechanical effects on the structure that may be close to real operating conditions. In addition, the developed method provides the capability, in the analysis of nonlinear deformation and buckling of shells to determine solution branching points and to trace adjacent equilibrium branches in the pre-buckling domain. The features of the method and algorithm are demonstrated through a series of specially selected benchmark problems.
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