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Automated computer simulation of two‐dimensional elastostatic problems by the finite element method
Author(s) -
Yokoyama Masaaki
Publication year - 1985
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.1620211211
Subject(s) - finite element method , polygon mesh , convergence (economics) , mesh generation , equilateral triangle , computer science , algorithm , process (computing) , stress (linguistics) , relaxation (psychology) , triangle mesh , software , mathematics , mathematical optimization , structural engineering , geometry , engineering , computer graphics (images) , psychology , social psychology , linguistics , philosophy , economics , economic growth , operating system , programming language
Abstract A software system for the automated computer simulation of two‐dimensional elastostatic problems by the finite element method is described. This system consists of two parts, automated mesh generation and automated stress analysis. The mesh generation is based on a method in which equilateral triangles are generated successively in the unmeshed region. Automated mesh refinement is carried out in the latter part of the simulation process. The stress analysis is based on the assumed stress hybrid method and the successive over relaxation method. The computer program developed for this paper can generate a succession of increasingly refined triangular meshes until a certain mesh convergence criterion is achieved. The mesh convergence criterion is based on a comparison of nodal stresses in successive analyses until all the stress differences are within a specified tolerance.