More about ‘artificial’ softening of finite elements | Zendy

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More about ‘artificial’ softening of finite elements

Author(s) -

Cook Robert D.

Publication year - 1977

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.1620110812

Subject(s) - finite element method , displacement (psychology) , degrees of freedom (physics and chemistry) , stiffness matrix , simple (philosophy) , stiffness , transformation (genetics) , softening , structural engineering , mathematics , matrix (chemical analysis) , displacement method , element (criminal law) , direct stiffness method , mathematical analysis , mixed finite element method , geometry , engineering , materials science , physics , composite material , philosophy , law , psychotherapist , chemistry , psychology , biochemistry , epistemology , quantum mechanics , political science , statistics , gene

A method is proposed for making overly stiff elements more flexible. The central idea is quite simple and is illustrated by application to a sample element, whose behaviour is greatly improved. The effort needed to soften an element is very small if its stiffness matrix is naturally produced with reference to generalized co‐ordinates before a final transformation to nodal displacement degrees‐of‐freedom.

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