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An iterative algorithm to build continuous stress and displacement solutions
Author(s) -
Cantin G.,
Loubignac G.,
Touzot G.
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.1620121004
Subject(s) - displacement (psychology) , finite element method , iterative method , algorithm , stress (linguistics) , displacement method , work (physics) , computer science , mathematics , mathematical optimization , structural engineering , engineering , mechanical engineering , psychology , linguistics , philosophy , psychotherapist
An iterative algorithm is presented: it builds a continuous stress and displacement solution starting from the solution of a classical displacement finite element analysis. The modified solution satisfies the virtual work principle, and is much better than the starting solution. The algorithm is very easily included in existing programs. A number of examples shows the efficiency of the method.