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A fast stiffness formulation for finite element analysis of two‐dimensional solids
Author(s) -
Sloan S. W.
Publication year - 1981
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.1620170903
Subject(s) - subroutine , finite element method , generalization , stiffness , plane stress , element (criminal law) , modular design , fortran , computer science , structural engineering , rotational symmetry , computational science , mathematics , geometry , engineering , mathematical analysis , programming language , law , political science
This paper describes and efficient method for computing two‐dimensional element stiffness matrices. It is a generalization of the algorithm given by Taylor. 1 Theory is developed for elements which are loaded under plane stress, plane strain or axisymmetric conditions, and two FORTRAN IV subroutines are included. These subroutines, which are presented in a modular form, are applicable to any type of serendipity, Lagrangian or triangular element, and may be incorporated into a user's library. Alternatively, if desired, the relevant code may be embedded directly into existing stiffness generation routines.