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Embedded representation of fracture in concrete with mixed finite elements
Author(s) -
Lotfi Hamid R.,
Shing P. Benson
Publication year - 1995
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.1620380805
Subject(s) - classification of discontinuities , discontinuity (linguistics) , finite element method , representation (politics) , displacement (psychology) , displacement field , structural engineering , fracture (geology) , extended finite element method , fracture mechanics , mathematics , mathematical analysis , engineering , geometry , geotechnical engineering , psychology , politics , political science , law , psychotherapist
As an alternative to the smeared and discrete crack representations, an embedded representation of fracture for finite element analysis of concrete structures is presented. The three‐field Hu–Washizu variational statement is extended to bodies with internal discontinuities. The extended variational statement is then utilized for formulating elements with a discontinuous displacement field. The new elements are capable of modelling different deformation modes of an internal discontinuity at the element level. The satisfactory performance of the embedded crack representation is verified by several case studies on concrete fracture.