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A robust and efficient numerical finite element method for cables
Author(s) -
Bertrand C.,
Acary V.,
Lamarque C.H.,
Ture Savadkoohi A.
Publication year - 2020
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.6435
Subject(s) - finite element method , nonlinear system , scheme (mathematics) , iterative method , computer science , mathematics , descent (aeronautics) , element (criminal law) , mixed finite element method , mathematical optimization , structural engineering , engineering , mathematical analysis , physics , law , quantum mechanics , political science , aerospace engineering
Summary Numerical simulation of cable systems remain delicate due to their geometrical nonlinearity and also to their intrinsic unilateral constitutive law. Indeed Finite Element approaches (if not implemented carefully) fail to predict accurate equilibrium for cable structures. The major issue to be addressed is the ill‐conditioning, starting configuration and wrong choice of descent direction during iterative methods. An iterative scheme based on Finite Element Method is presented to overcome this issue, even with large number of elements.