Stiffness update procedure in iterative global-local analysis of columns

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Conference Proceeding
ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), 2015, 9-2015
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Copyright © 2015 by ASME. The purpose of this study is to develop a stiffness update technique to be used in a computationally efficient finite element solution for the analysis of columns undergoing local deformations, within the procedure of iterative global-local analysis. The computational problem that arises is that the stiffness matrix is formulated according to the global model, and as a result, considerably large number of iterations is required when the local deformations are significant. To overcome this difficulty, a stiffness update technique is presented in which the displacement field of the global model is altered at each step to consider the locally induced softening behaviour in order to accelerate the convergence. This goal is achieved by introducing embedded discontinuities in the beam element.
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