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Titolo:
Splitting elastic modulus finite element method and its application
Autore:
Dang, FN; Rong, TY; Sun, XF;
Indirizzi:
Xian Univ Technol, Inst Rock & Soil Engn, Xian 710048, Peoples R China Xian Univ Technol Xian Peoples R China 710048 an 710048, Peoples R China SW Jiaotong Univ, Chengdu 610031, Peoples R China SW Jiaotong Univ Chengdu Peoples R China 610031 610031, Peoples R China
Titolo Testata:
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING
fascicolo: 10, volume: 17, anno: 2001,
pagine: 675 - 690
SICI:
1069-8299(200110)17:10<675:SEMFEM>2.0.ZU;2-Y
Fonte:
ISI
Lingua:
ENG
Keywords:
splitting modulus variational principle; splitting modulus FEM; splitting factor; ill-conditioned problems;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Engineering, Computing & Technology
Citazioni:
23
Recensione:
Indirizzi per estratti:
Indirizzo: Dang, FN Xian Univ Technol, Inst Rock & Soil Engn, Xian 710048, Peoples R China Xian Univ Technol Xian Peoples R China 710048 , Peoples R China
Citazione:
F.N. Dang et al., "Splitting elastic modulus finite element method and its application", COMMUN NUM, 17(10), 2001, pp. 675-690

Abstract

To establish the best precision FEM, the proportion of potential and complementary energy in the functional of the variational principles must be changeable. A new kind of variational principle in linear theory of solid mechanics, called the splitting elastic modulus variational principle, is introduced. Its distinctive feature is that the functional contains one arbitrary additional parameter, called splitting factor; the proportion of potential and complementary energy in the functional can be changed by the splitting factor. Finite element method, which is based on the new principle, is established. It is called splitting modulus FEM, its stiffness can be adjusted by properly selecting the splitting factors, some ill-conditioned problemcan be conquered by it. The methods to choose the splitting factors, reduce the condition number of stiffness matrix and improve the precision of solutions are also discussed. The reason why the new method can transform the ill-conditioned problems into well-conditioned ones is analysed finally. Copyright (C) 2001 John Wiley & Sons, Ltd.

ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 26/01/20 alle ore 01:17:59