Open AccessAn enhanced discrete Mindlin finite element model using a zigzag function
Author(s) -
Lakhdar Sedira,
Rézak Ayad,
Hamid Saberi,
Mabrouk Hecini,
Siham Sakami
Publication year - 2012
Publication title -
european journal of computational mechanics
Language(s) - English
Resource type - Journals
eISSN - 2642-2085
pISSN - 2642-2050
DOI - 10.13052/17797179.2012.702434
Subject(s) - zigzag , finite element method , quadrilateral , displacement field , piecewise , displacement (psychology) , piecewise linear function , shear (geology) , stress field , mathematics , mixed finite element method , function (biology) , stress (linguistics) , quadratic equation , shear stress , extended finite element method , mathematical analysis , extended discrete element method , node (physics) , structural engineering , geometry , engineering , finite element limit analysis , physics , mechanics , materials science , psychology , linguistics , philosophy , evolutionary biology , composite material , psychotherapist , biology
The present work deals with the formulation and the evaluation of a discrete finite element model for Reissner/Mindlin composite plates, including the introduction of zigzag form in order to improve plane and shear stress accuracy. The model is characterised by a piecewise linear variation of displacement, which allows to fulfil the stress continuity requirements. For this purpose, a new four-node quadrilateral enhanced finite element based on a quadratic displacement field is proposed. In the second version, it incorporates two additional zigzag terms and does not require shear correction. The element is validated across some known problems in the literature, highlighting the improvement of thickness stress distributions, by comparison with the initial model without zigzag function.