Premium
Generalized Finite Element Formulation of Fiber Beam Elements for Distributed Plasticity in Multiple Regions
Author(s) -
Park Kyoungsoo,
Kim Hyungtae,
Kim DaeJin
Publication year - 2019
Publication title -
computer‐aided civil and infrastructure engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.773
H-Index - 82
eISSN - 1467-8667
pISSN - 1093-9687
DOI - 10.1111/mice.12389
Subject(s) - plasticity , finite element method , displacement (psychology) , degrees of freedom (physics and chemistry) , function (biology) , fiber , beam (structure) , process (computing) , deformation (meteorology) , materials science , geometry , mathematical analysis , structural engineering , computer science , mathematics , composite material , physics , engineering , psychology , quantum mechanics , evolutionary biology , psychotherapist , biology , operating system
A generalized fiber beam element formulation is proposed to accurately capture the formation of multiple plastic regions with a coarse mesh, which usually occurs in the process of structural collapses. The strong gradient of displacement near plastic regions in a fiber beam element can be accurately described using a special plastic enrichment function. The two types of the plastic enrichment functions are suggested for the cases where the plastic region is located fully inside an element and spread over a node, respectively. In this approach, the optimal shape of the plastic enrichment function can be updated by reflecting plastic deformation at the previous loading step. Furthermore, if plastic regions appear in multiple locations in an element, the corresponding plastic enrichment function can be adaptively reconstructed on the basis of plastic region distribution without introducing additional degrees of freedom. The effectiveness of the proposed method is investigated in terms of accuracy and computational cost through several numerical experiments.