On inter-element forces in the FEM-displacement formulation, and implications for stress recovery

Daniela Ciancio, I. Carol, M. Cuomo

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    22 Citations (Scopus)

    Abstract

    This paper describes a new technique for the determination of the inter-element forces and tractions, as well as stress state at nodes, as a post-processing step after the Solution of standard FE-displacement calculation. The work is motivated in the context of a broader development of a procedure to simulate fracture processes using a discrete approach without the need of double-noded interface elements. The technique, easily implementable, is based on the double minimization of an objective function, representing the error between the inter-element stress tractions and the projection of the best-fit stress tensor T along the planes of the interfaces converging at an element corner node. The formulation is illustrated with some basic examples in which the resulting stress tensors and inter-element forces are compared to theoretical solutions and to the results obtained by using a traditional stress average smoothing method. Copyright (c) 2005 John Wiley & Sons, Ltd.
    Original languageEnglish
    Pages (from-to)502-528
    JournalInternational Journal for Numerical Methods in Engineering
    Volume66
    Issue number3
    DOIs
    Publication statusPublished - 2006

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