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HYBRID-TREFFTZ EQUILIBRIUM MODEL FOR CRACK PROBLEMS

1996; Wiley; Volume: 39; Issue: 4 Linguagem: Catalão

10.1002/(sici)1097-0207(19960229)39

1097-0207

J. A. Teixeira de Freitas, Zheng Ji,

Contact Mechanics and Variational Inequalities

International Journal for Numerical Methods in EngineeringVolume 39, Issue 4 p. 569-584 Research Article HYBRID-TREFFTZ EQUILIBRIUM MODEL FOR CRACK PROBLEMS J. A. TEIXEIRA DE FREITAS, Corresponding Author J. A. TEIXEIRA DE FREITAS Departmento de Engenharia Civil, Instituto Superior Técnico Av. Rovisco Pais, 1096 Lisboa Codex, PortugalDepartmento de Engenharia Civil, Instituto Superior Técnico Av. Rovisco Pais, 1096 Lisboa Codex, PortugalSearch for more papers by this authorZ.-Y. JI, Z.-Y. JI Departmento 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 Departmento de Engenharia Civil, Instituto Superior Técnico Av. Rovisco Pais, 1096 Lisboa Codex, PortugalDepartmento de Engenharia Civil, Instituto Superior Técnico Av. Rovisco Pais, 1096 Lisboa Codex, PortugalSearch for more papers by this authorZ.-Y. JI, Z.-Y. JI Departmento de Engenharia Civil, Instituto Superior Técnico Av. Rovisco Pais, 1096 Lisboa Codex, PortugalSearch for more papers by this author First published: 28 February 1996 https://doi.org/10.1002/(SICI)1097-0207(19960229)39:4 3.0.CO;2-8Citations: 40AboutPDF 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 formulation based on the approximation of the stress field is used to compute directly the stress intensity factors in crack problems. The boundary displacements are independently approximated. In each finite element, the assumed stresses may model multipoint singularities of variable order. The differential equilibrium equations are locally satisfied as solutions of the governing differential system are used to build the stress approximation basis. The approximation on the boundary displacements is constrained to satisfy locally the kinematic boundary conditions. The remaining fundamental conditions, namely the differential compatibility equations, the constitutive relations and the static boundary conditions are enforced through weighted residual statements. The approximation criteria are so chosen as to ensure that the finite element model is described by a sparse, adaptive and symmetric governing system described by structural matrices with boundary integral expressions. Numerical applications are presented to show that accurate solutions can be obtained using structural discretizations based on coarse meshes of few but highly rich elements, each of which may have different geometries and alternative approximation laws. Citing Literature Volume39, Issue428 February 1996Pages 569-584 RelatedInformation