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A cell-based smoothed discrete shear gap method using triangular elements for static and free vibration analyses of Reissner-Mindlin plates
International journal for numerical methods in engineering, 2012-08, Vol.91 (7), p.705-741
Nguyen-Thoi, T.
Phung-Van, P.
Nguyen-Xuan, H.
Thai-Hoang, C.
2012
Details
Autor(en) / Beteiligte
Nguyen-Thoi, T.
Phung-Van, P.
Nguyen-Xuan, H.
Thai-Hoang, C.
Titel
A cell-based smoothed discrete shear gap method using triangular elements for static and free vibration analyses of Reissner-Mindlin plates
Ist Teil von
International journal for numerical methods in engineering, 2012-08, Vol.91 (7), p.705-741
Ort / Verlag
Chichester, UK: John Wiley & Sons, Ltd
Erscheinungsjahr
2012
Link zum Volltext
Quelle
Wiley Online Library Journals Frontfile Complete
Beschreibungen/Notizen
SUMMARY The cell‐based strain smoothing technique is combined with discrete shear gap method using three‐node triangular elements to give a so‐called cell‐based smoothed discrete shear gap method (CS‐DSG3) for static and free vibration analyses of Reissner–Mindlin plates. In the process of formulating the system stiffness matrix of the CS‐DSG3, each triangular element will be divided into three subtriangles, and in each subtriangle, the stabilized discrete shear gap method is used to compute the strains and to avoid the transverse shear locking. Then the strain smoothing technique on whole the triangular element is used to smooth the strains on these three subtriangles. The numerical examples demonstrated that the CS‐DSG3 is free of shear locking, passes the patch test, and shows four superior properties such as: (1) being a strong competitor to many existing three‐node triangular plate elements in the static analysis; (2) can give high accurate solutions for problems with skew geometries in the static analysis; (3) can give high accurate solutions in free vibration analysis; and (4) can provide accurately the values of high frequencies of plates by using only coarse meshes. Copyright © 2012 John Wiley & Sons, Ltd.
Sprache
Englisch
Identifikatoren
ISSN: 0029-5981
eISSN: 1097-0207
DOI: 10.1002/nme.4289
Titel-ID: cdi_crossref_primary_10_1002_nme_4289
Format
–
Schlagworte
cell-based smoothed discrete shear gap technique (CS-DSG3)
,
discrete shear gap method (DSG)
,
Exact sciences and technology
,
finite element method (FEM)
,
Fundamental areas of phenomenology (including applications)
,
Mathematics
,
Methods of scientific computing (including symbolic computation, algebraic computation)
,
Numerical analysis. Scientific computation
,
Physics
,
Reissner-Mindlin plate
,
Sciences and techniques of general use
,
shear locking
,
Solid mechanics
,
Static elasticity (thermoelasticity...)
,
strain smoothing technique
,
Structural and continuum mechanics
,
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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