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HYBRID-TREFFTZ FINITE ELEMENT FORMULATION FOR SIMULATION OF SINGULAR STRESS FIELDS

1996; Wiley; Volume: 39; Issue: 2 Linguagem: Inglês

10.1002/(sici)1097-0207(19960130)39

1097-0207

J. A. Teixeira de Freitas, Zheng Ji,

Fatigue and fracture mechanics

International Journal for Numerical Methods in EngineeringVolume 39, Issue 2 p. 281-308 Research Article HYBRID-TREFFTZ FINITE ELEMENT FORMULATION FOR SIMULATION OF SINGULAR STRESS FIELDS J. A. TEIXEIRA DE FREITAS, Corresponding Author J. A. TEIXEIRA DE FREITAS Departamento de Engenharia Civil, Instituto Superior Técnico, Av. Rovisco Pais, 1096 Lisboa Codex, PortugalDepartamento de Engenharia Civil, Instituto Superior Técnico, Av. Rovisco Pais, 1096 Lisboa Codex, PortugalSearch for more papers by this authorZ.-Y. JI, Z.-Y. JI Departamento de Engenharia Civil, Instituto Superior Técnico, Av. Rovisco Pais, 1096 Lisboa Codex, PortugalSearch for more papers by this author J. A. TEIXEIRA DE FREITAS, Corresponding Author J. A. TEIXEIRA DE FREITAS Departamento de Engenharia Civil, Instituto Superior Técnico, Av. Rovisco Pais, 1096 Lisboa Codex, PortugalDepartamento de Engenharia Civil, Instituto Superior Técnico, Av. Rovisco Pais, 1096 Lisboa Codex, PortugalSearch for more papers by this authorZ.-Y. JI, Z.-Y. JI Departamento de Engenharia Civil, Instituto Superior Técnico, Av. Rovisco Pais, 1096 Lisboa Codex, PortugalSearch for more papers by this author First published: 30 January 1996 https://doi.org/10.1002/(SICI)1097-0207(19960130)39:2 3.0.CO;2-XCitations: 36AboutPDF 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 Abstract An equilibrium hybrid-Trefftz formulation based on the direct approximation of the stress and boundary displacement fields is presented. The general solution of the governing differential equations is used to approximate the stress field and the boundary displacements are represented by polynomial functions. When singular solutions are implemented to model local high stress gradients due to concentrated loads or to the presence of wedges or cracks, rational functions are used to approximate the boundary displacements in the neighbourhood of such singular stress points. The equilibrium conditions and the kinematic boundary conditions are locally satisfied. The remaining fundamental relations—the compatibility conditions, the static boundary conditions and the constitutive relations—are enforced in a weighted residual form so designed as to preserve the duality and constitutive reciprocity. The resulting governing system is symmetric and all intervening structural operators have boundary integral expressions. Numerical applications are presented to illustrate the performance of the formulation. Citing Literature Volume39, Issue230 January 1996Pages 281-308 RelatedInformation