Sensitivity analysis in post-buckling problems of shell structures. (English) Zbl 0782.73070

A method to evaluate sensitivities in post-buckling analysis is developed. The gradients of load values obtained under several constraint conditions are discussed. Unlike other methods for sensitivity analysis, the present method can cope with snap-through and bifurcation problems without eigenvalue analysis. In addition, the load sensitivity at arbitrary points on an equilibrium path can be calculated. Using the MITC4 shell element, several numerical examples, such as a bifurcation buckling and a snap-through analysis of shell structures, are solved.


74S05 Finite element methods applied to problems in solid mechanics
74G60 Bifurcation and buckling
74K15 Membranes
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