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Non‐linear transient finite element analysis with convected co‐ordinates
Author(s) -
Belytschko T.,
Hsieh B. J.
Publication year - 1973
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.1620070304
Subject(s) - finite element method , ordinate , transient (computer programming) , displacement (psychology) , bernoulli's principle , mathematics , constant (computer programming) , mathematical analysis , mixed finite element method , euler's formula , element (criminal law) , plane stress , geometry , structural engineering , physics , computer science , engineering , psychology , law , political science , psychotherapist , thermodynamics , programming language , operating system
A finite element method is presented for the transient analysis of large‐displacement, small‐strain problems with material non‐linearities. The method employs a convected co‐ordinate technique and a direct nodal force computational scheme of considerable efficiency. Detailed formulations are given for a plane, constant strain triangular element and a Euler‐Bernoulli beam element. Results are presented for several example problems and compared with experimental data and other numerical solutions.