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• W2026843954 startingPage "1093" @default.
• W2026843954 abstract "The paper describes how several procedures, based on expressions from analytical elastic stability theory, are introduced as numerical tools in a general Finite Element program for geometrically non-linear structural analysis. Especially is discussed how derivatives of the tangential stiffness matrix can be utilized in several contexts in the solution algorithm. These include improved predictions for the step-wise solution of equilibrium states, identification of critical points and accurate descriptions of initial post-bifurcation behaviour. For two plane beam and bar elements, formulations have been developed giving analytical expressions for these derivatives. The corresponding numerical approximations, needed in other element types, are also discussed. The paper discusses the relative efficiency of higher order predictions in relation to these different element types and different solution strategies. Some numerical examples, showing different types of behaviour, are analysed and discussed." @default.
• W2026843954 created "2016-06-24" @default.
• W2026843954 creator A5068863010 @default.
• W2026843954 date "1991-10-05" @default.
• W2026843954 modified "2023-10-01" @default.
• W2026843954 title "Derivatives of tangential stiffness matrices for equilibrium path descriptions" @default.
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• W2026843954 doi "https://doi.org/10.1002/nme.1620320511" @default.
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