A library of nonlinear solution schemes including load, displacement, arc-length, work, generalizeddisplacement, and orthogonal residual control are cast into a unified framework forsolving nonlinear finite element systems. Each of these solution schemes differs in the use ofa constraint equation for the incremental-iterative procedure. The governing finite elementequations and constraint equation for each solution scheme are combined into a single matrixequation, which characterizes the unified approach. This theoretical model leads naturally toan effective object-oriented implementation and potential for integration into a finite elementanalysis code. Using this framework, the strengths and weaknesses of the various solutionschemes are examined through several numerical examples.
展开▼
