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Geometrically non‐linear analysis—A correlation of finite element notations
Author(s) -
Wood R. D.,
Schrefler B.
Publication year - 1978
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.1620120408
Subject(s) - notation , finite element method , mathematics , displacement (psychology) , linear correlation , element (criminal law) , bar (unit) , linear elasticity , lagrangian , mathematical analysis , structural engineering , physics , engineering , statistics , arithmetic , psychology , meteorology , political science , law , psychotherapist
A correlation is geven between two notations currently used in the formulation of geometrically non‐linear analysis in a Lagrangian co‐ordinate system. The first referred to as the B‐notation results in the linear elastic, initial displacement and initial stress matrices, whilst the second, here called the N‐notation features matrices that repeat in the total potential energy, equilibrium and incremental equilibrium equations. An explicit example of the correlation is presented for a pin‐jointed bar element.