A four-node reissner-mindlin shell with assumed displacement quasi-conforming method

CMES - Computer Modeling in Engineering and Sciences

Volumn 73, Issue 2, 2011, Pages 103-135

  Hu, Ping ^a   Xia, Yang ^a   Tang, Limin ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Assumed displacement; Flat shell; Quasi conforming; Taylor polynomial expansion

Indexed keywords

ASSUMED DISPLACEMENT; BENDING DISPLACEMENT; FLAT-SHELL; MEMBRANE LOCKING; NUMERICAL TESTS; POLYNOMIAL EXPANSION; POST PROCESSING; QUADRATIC POLYNOMIAL; QUASI-CONFORMING; REISSNER-MINDLIN; SHEAR-LOCKING; STABLE CONVERGENCE; TAYLOR POLYNOMIALS;

BENDING TESTS; DEMODULATION; EXPANSION; POLYNOMIALS; STIFFNESS MATRIX;

FINITE ELEMENT METHOD;

EID: 79959819615     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (20)

1. Aksu Ozkul, T.; Ture, U. (2004): The transition from thin plates to moderately thick plates by using finite element analysis and the shear locking problem, Thin- Walled Structures, vol. 42, no. 10, pp. 1405-1430.
2. Cai, Y. C.; Paik, J. K.; Atluri, S. N. (2010): A Triangular Plate Element with Drilling Degrees of Freedom, for Large Rotation Analyses of Built-up Plate/Shell Structures, Based on the Reissner Variational Principle and the von Karman Nonlinear Theory in the Co-rotational Reference Frame, CMES: Computer Modeling in Engineering & Sciences, vol. 61, no. 3, pp. 273-312.
3. Chen, W.; Wang, J.; Zhao, J. (2009): Functions for patch test in finite element analysis of the Mindlin plate and the thin cylindrical shell, Science in China Series G: Physics Mechanics and Astronomy, vol. 52, no. 5, pp. 762-767.
4. Choi, C. K.; Lee, T. 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, no. 16-18, pp. 1961-1971.
5. He, D. S.; Tang, L. M. (2002): The displacement function of quasi-conforming element and its node error, Applied Mathematics and Mechanics-English Edition, vol. 23, no. 2, pp. 127-137.
6. Kim, K. D.; Lomboy, G. R.; Voyiadjis, G. Z. (2003): A 4-node assumed strain quasi-conforming shell element with 6 degrees of freedom, International Journal for Numerical Methods in Engineering, vol. 58, no. 14, pp. 2177-2200. (Pubitemid 37529409)
7. Lomboy, G. R.; Suthasupradit, S.; Kim, K. D.; Onate, E. (2009): Nonlinear Formulations of a Four-Node Quasi-Conforming Shell Element, Archives of Computational Methods in Engineering, vol. 16, no. 2, pp. 189-250.
8. Lu, H. X.; Xu, S. N. (1989): An effective quadrilateral plate bending element, International Journal for Numerical Methods in Engineering, vol. 28, no. 5, pp. 1145-1160.
9. Morley, L. S. D. (1963): Skew plates and structures, 2nd edition, Oxford, Pergamon Press.
10. 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, no. 2, pp. 81-111.
11. Shi, G.; Voyiadjis, G. Z. (1991a): Efficient and accurate four-node quadrilateral plate bending element based on assumed strain fields, International Journal for Numerical Methods in Engineering, vol. 32, no. 5, pp. 1041-1055. (Pubitemid 21711305)
12. Shi, G.; Voyiadjis, G. Z. (1991b): Geometrically nonlinear analysis of plates by assumed strain element with explicit tangent stiffness matrix, Computers & Structures, vol. 41, no. 4, pp. 757-763.
13. Shi, G.; Voyiadjis, G. Z. (1993): A computational model for FE ductile plastic damage analysis of plate bending, Journal of Applied Mechanics, vol. 60, no. 3, pp. 749-758.
14. Soh, A. K.; Cen, S.; Long, Y. Q.; Long, Z. F. (2001): A new twelve DOF quadrilateral element for analysis of thick and thin plates, European Journal of Mechanics-A/Solids, vol. 20, no. 2, pp. 299-326. (Pubitemid 32248381)
15. Tang, L.; Liu, Y. (1985): Quasi-conforming element techniques for penalty finite element methods, Finite Elements in Analysis and Design, vol. 1, no. 1, pp. 25-33. (Pubitemid 16568604)
16. Tang, L. M.; Chen,W. J.; Liu, Y. X. (1980): Quasi-conforming elements for finite element analysis, J Dalian Inst Technol, vol. 10, no. 2, pp. 17-35.
17. Tang, L. M.; Liu, Y. X. (1984): Quasi-Conforming element techniques for penalty finite element methods, Finite Elements in Analysis and Design, vol. 1, no. 1, pp. 25-33.
18. Timoshenko, S.; Stephen, P.; Woinawsky, K. S. (1959): Theory of plates and shells, 2nd edition, McGraw Hill Book Company.
19. Yang, H. T. Y.; Saigal, S.; Masud, A.; Kapania, R. K. (2000): A survey of recent shell finite elements, International Journal for Numerical Methods in Engineering, vol. 47, no. 1-3, pp. 101-127. (Pubitemid 30527713)
20. Zienkiewicz, O. C.; Taylor, R. L.; Zhu, J. Z. (2005): The finite element method: its basis and fundamentals, 6th edition, Elsevier Butterworth-Heinemann. 9