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A MIXED-HYBRID FINITE ELEMENT MODEL BASED ON ORTHOGONAL FUNCTIONS

1996; Wiley; Volume: 39; Issue: 8 Linguagem: Inglês

10.1002/(sici)1097-0207(19960430)39

1097-0207

E.M.B.R. Pereira, J. A. Teixeira de Freitas,

Structural Load-Bearing Analysis

International Journal for Numerical Methods in EngineeringVolume 39, Issue 8 p. 1295-1312 Research Article A MIXED-HYBRID FINITE ELEMENT MODEL BASED ON ORTHOGONAL FUNCTIONS E. M. B. R. PEREIRA, Corresponding Author E. M. B. R. PEREIRA Departamento de Engenharia Civil Instituto Superior Técnico, Universidade Técnica de Lisboa, Avenida Rovisco Pais, 1096, Lisboa Codex, PortugalDepartamento de Engenharia Civil Instituto Superior Técnico, Universidade Técnica de Lisboa, Avenida Rovisco Pais, 1096, Lisboa Codex, PortugalSearch for more papers by this authorJ. A. T. FREITAS, J. A. T. FREITAS Departamento de Engenharia Civil Instituto Superior Técnico, Universidade Técnica de Lisboa, Avenida Rovisco Pais, 1096, Lisboa Codex, PortugalSearch for more papers by this author E. M. B. R. PEREIRA, Corresponding Author E. M. B. R. PEREIRA Departamento de Engenharia Civil Instituto Superior Técnico, Universidade Técnica de Lisboa, Avenida Rovisco Pais, 1096, Lisboa Codex, PortugalDepartamento de Engenharia Civil Instituto Superior Técnico, Universidade Técnica de Lisboa, Avenida Rovisco Pais, 1096, Lisboa Codex, PortugalSearch for more papers by this authorJ. A. T. FREITAS, J. A. T. FREITAS Departamento de Engenharia Civil Instituto Superior Técnico, Universidade Técnica de Lisboa, Avenida Rovisco Pais, 1096, Lisboa Codex, PortugalSearch for more papers by this author First published: 30 April 1996 https://doi.org/10.1002/(SICI)1097-0207(19960430)39:8 3.0.CO;2-HCitations: 20AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Abstract A mixed-hybrid formulation for stress finite elements is presented. The stresses and the displacements in the domain of the element and the displacements on the boundary are simultaneously and independently approximated using orthogonal functions. The stress approximation functions are used as weighting functions in the weighted residual enforcement of the local compatibility and constitutive equations. Similarly, the displacement approximation functions in the domain and on the boundary are used as weighting functions in the weighting residual enforcement of the local equilibrium equation and of the static boundary conditions, respectively. Legendre polynomials and Fourier series are used to illustrate the performance of the finite element formulation when applied to elastostatic problems. Citing Literature Volume39, Issue830 April 1996Pages 1295-1312 RelatedInformation