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A powerful hybrid method in finite element analysis
Author(s) -
Rao A. K.,
Raju I. S.,
Murty A. V. Krishna
Publication year - 1971
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.1620030308
Subject(s) - finite element method , classification of discontinuities , convergence (economics) , mixed finite element method , extended finite element method , finite element limit analysis , gravitational singularity , stress (linguistics) , mathematics , computer science , calculus (dental) , structural engineering , mathematical analysis , engineering , medicine , linguistics , philosophy , dentistry , economics , economic growth
An important limitation of finite element analysis, namely, the need for a large number of small elements in regions of finite or infinite stress concentrations and the difficulties of convergence in such cases, is well known. Rao 1 suggested a possibility of overcoming this by developing hybrid techniques combining continuum and finite element concepts. In such techniques, each region of stress concentration is covered by one large ‘primary element’ whose description includes term(s) identifying the type and order of concentration, while the remaining structure is split into a few ‘secondary elements’ which are conventional finite elements. In this paper a procedure incorporating this concept is developed and its effectiveness is clearly demonstrated by successful application to two important examples, one of them with stress singularities. The concept, in fact, can be applied equally well to other two‐ and three‐dimensional problems of continua with discontinuities and concentrations.