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Error estimators and enrichment procedures for the finite element analysis of thin sheet large deformation processes
Author(s) -
Bonet Javier
Publication year - 1994
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.1620370910
Subject(s) - diagonal , estimator , finite element method , simple (philosophy) , algorithm , measure (data warehouse) , deformation (meteorology) , process (computing) , element (criminal law) , infinitesimal strain theory , tensor (intrinsic definition) , computer science , mathematics , geometry , structural engineering , engineering , materials science , data mining , philosophy , statistics , epistemology , law , political science , composite material , operating system
Abstract An essentially geometric error measure capable of estimating the accuracy with which a faceted element mesh describes the continjous exact geometry of a deforming sheet is presented in this paper. This error is based on an estimated strain tensor between discrete and approximate geometries. Additionally, the paper describes the enrichment process which, at a reasonable computational cost, ensures that the error targets are met whilst generating as few elements as possible. In particular, the enrichment algorithm is based on a judicious combination of two simple operations, namely, side splitting and diagonal swapping. Finally, several applications relating to superplastic forming components are presented.