An enhanced discrete Mindlin finite element model using a zigzag function

Authors

  • Lakhdar Sedira Mechanical Engineering Laboratory (LGM), University of Biskra, BP145, 07000 Biskra, Algeria; and Laboratory of Engineering and Material Sciences, University of Reims Champagne-Ardenne, ESIEC, Esp. Rolland Garros, BP 1029, F-51686, Reims, France;
  • Rezak Ayad Laboratory of Engineering and Material Sciences, University of Reims Champagne-Ardenne, ESIEC, Esp. Rolland Garros, BP 1029, F-51686, Reims, France
  • Hamid Sabhi Laboratory of Engineering and Material Sciences, University of Reims Champagne-Ardenne, ESIEC, Esp. Rolland Garros, BP 1029, F-51686, Reims, France;
  • Mabrouk Hecini Mechanical Engineering Laboratory (LGM), University of Biskra, BP145, 07000 Biskra, Algeria
  • Siham Sakami Faculty of Sciences and Technology, Group of Research in Civil and Geo-Engineering, BP 549, Av. Abdelkarim Elkhattabi, Guéliz, Marrakech, Morocco

DOI:

https://doi.org/10.13052/17797179.2012.702434

Keywords:

finite element, displacement discrete model, multilayer plate, zigzag function

Abstract

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.

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References

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DMQP/ml

(88)

DMQP/ml

(1919)

DMQPz

(66)

HOZZT

(88)

PRHSDT

(88)

PFSDT

(88) Pagano

a=h ¼ 4

r1x

.7375 .73,125 1.5206 1.5158 1.4539 .8385 1.556

r2x

.588 .586 .2210 – .3181 .6708 .233

.0028 .00,286 .0004 – .0012 .0024

r1y

.2343 .235 .2494 .2495 .2522 .1565 .2595

r2y

.1875 .188 .1621 – .1631 .1252 –

.008 .008 .0066 – .0069 .0053 –

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r1x

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r2x

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.00,215 .00,215 .00,101 – .0018 .0020 –

r1y

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r2y

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Published

2012-02-07

How to Cite

Sedira, L. ., Ayad, R. ., Sabhi, H. ., Hecini, M. ., & Sakami, S. . (2012). An enhanced discrete Mindlin finite element model using a zigzag function . European Journal of Computational Mechanics, 21(1-2), 122–140. https://doi.org/10.13052/17797179.2012.702434

Issue

2012: Vol 21 Iss 1-2

Section

Original Article

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