--

4 (1) 2014

Application of the improved four-node element MISQ24 for geometrically nonlinear analysis of plate/shell structures


Author - Affiliation:
Nguyen Van Hieu - Faculty of Civil Engineering, Ho Chi Minh City Univercity of Architecture , Vietnam
Chau Dinh Thanh - GACES, Faculty of Civil Engineering and Applied Mechanics , Vietnam
Nguyen Huu Anh Tuan - Faculty of Civil Engineering, Ho Chi Minh City Univercity of Architecture , Vietnam
Corresponding author: Nguyen Huu Anh Tuan - kim.npt@ou.edu.vn

Abstract
In this paper the smoothed strain based four-node flat element MISQ24 with driiling degrees of freedom is extended for geometrically nonlinear analysis of plate and shell structures. The von-Karman's large deflection theory and the Total Lagrangian (TL) approach are employed in the formulation of the elements to describe small strain geometric nonlinearity with large deformations using the first-order shear deformation theory (FSDT). The predictive capability of the present models is demonstrated by comparing the present results with analytical/experimental and other numerical solutions available in the literature. Numerical examples show that the presented formulations can prevent loss of accuracy in severely distorted meshes, and therefore, are superior to those of other quadrilateral elements with inplanes rotations.

Keywords
Geometrically nonlinear analysis; plate/shell structures; smoothed finite elemen.

Full Text:
PDF

References

Bathe K. J., Dvorkin E. N 1985, ‘A four node plate bending element based on MindlinReissner plate theory and a mixed interpolation’, International Journal for Numerical Methods in Engineering, Vol. 21, pp. 367–383.


Chia C. Y 1980, Nonlinear Analysis of Plate, McGraw-Hill: NewYork.


Choi C. K, T., Lee Y 2003, ‘Efficient remedy for membrane locking of 4-node flat shell elements by non-conforming modes’, Computer Methods in Applied Mechanics and Engineering, Vol. 192, pp. 1961–1971.


Crisfield M. A 1979, ‘A fast modified Newton-Raphson iteration’, Computer Methods in Applied Mechanics and Engineering, Vol. 20, pp. 267–278.


Duan M., Mahendran M 2003, ‘Large deflection analyses of skew plates using hybrid/mixed finite element method’, Computers and Structures, Vol. 81, pp. 1415– 1424.


Gal E., Levy R 2006, ‘Geometrically nonlinear analysis of shell structures using a flat triangular shell finite element’, Archives of Computational Methods in Engineering, Vol. 13, pp. 331–388.


Ibrahimbegovic A., Taylor R. L., Wilson E. L 1990, ‘A robust quadrilateral membrane finite element with drilling degrees of freedom’, International Journal for Numerical Methods in Engineering, Vol. 30, pp. 445–57.


Nguyen-Van H., Mai-Duy N., Tran-Cong T 2009, ‘An improved quadrilateral flat element with drilling degrees of freedom for shell structural analysis’, CMES: Computer Modeling in Engineering & Sciences, Vol. 49 (2), pp. 81-112.


Nguyen-Van H., Mai-Duy N., W. Karunasena, Tran-Cong T 2011, ‘Buckling and vibration analysis of laminated composite plate/shell structures via a smoothed quadrilateral flat shell element with in-plane rotations’, Computers and Structures, Vol. 89, pp.612-625.


Pimpinelli G 2004, ‘An assumed strain quadrilateral element with drilling degrees of freedom’, Finite Element in Analysis and Design, Vol. 41, pp. 267–283.


Reddy, J.N 2004, An Introduction to Nonlinear Finite Element Analysis, Oxford university press.


Sabir A. B., Lock A. C 1973, ‘The application of finite elements to large deflec-tion geometrically nonlinear behaviour of cylindrical shells’, in: C. A. Brebbia, H. Tottenham (Eds.), Variational Methods in Engineering, Southampton Univeristy Press


Sze K. Y., Liu X. H., Lomboy S. H. 2004, ‘Popular benchmark problems for geometric nonlinear analysis of shells’, Finite Element in Analysis and Design, Vol. 40, pp. 1551–1569.


Yang H. T. Y., Saigal S., Masud A., Kapania R. K 2000, ‘A survey of recent shell


element’, International Journal for Numerical Methods in Engineering Vol. 47 (1-3), pp. 101–127.



Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.