Quadratic NMS Mindlin-plate-bending element

International Journal for Numerical Methods in Engineering

Volumn 46, Issue 8, 1999, Pages 1273-1289

  Choi, Chang Koon ^a   Park, Yong Myung ^b  

^a Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

^b Research Institute of Industrial Science and Technology (RIST)   (South Korea)

Author keywords

Mesh distortion; Mindlin plate; NMS 8P element; Non conforming modes; Shear locking

Indexed keywords

BENDING (DEFORMATION); COMPUTATIONAL GEOMETRY; INTEGRATION; PROBLEM SOLVING; SHEAR STRESS; STRAIN;

NON-CONFORMING MODES; QUADRATIC MINDLIN-PLATE-BENDING ELEMENTS;

PLATES (STRUCTURAL COMPONENTS);

EID: 0033363960     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19991120)46:8<1273::AID-NME754>3.0.CO;2-N     Document Type: Article

References (22)

1. Zienkiewicz OC, Taylor RL, Too JM. Reduced integration technique in general analysis of plates and shells. International Journal for Numerical Methods in Engineering 1971; 3:275-290.
2. Hughes TJR, Cohen M, Haron M. Reduced and selective integration techniques in the finite element analysis of plates. Nuclear Engineering Design 1978; 46:203-222.
3. Pugh EDL, Hinton E, Zienkiewicz OC. A study of quadrilateral plate bending elements with reduced integration. International Journal for Numerical Methods in Engineering 1978; 12:1059-1079.
4. Choi CK, Schnobrich WC. Nonconforming finite element analysis of shells. Journal of Engineering and Mechanics Division ASCE, 1975; 101:447-464.
5. Choi CK. A conoidal shell analysis by modified isoparametric element. Computers and Structures 1984; 18:921-924.
6. Choi CK. Reduced integrated nonconforming plate element. Journal of Engineering and Mechanics Division ASCE, 1986; 112:370-385.
7. Choi CK, Kim SH. Coupled use of reduced integration and nonconforming modes in quadratic Mindlin plate element. International Journal for Numerical Methods in Engineering 1989; 28:1909-1928.
8. Kim SH, Choi CK. Improvement of quadratic finite element for Mindlin plate bending. International Journal for Numerical Methods in Engineering 1992; 34:197-208.
9. Sze KY, Chow CL. An incompatible element for axisymmetric structure and its modification by hybrid method. International Journal for Numerical Methods in Engineering 1991; 31:385-405.
10. Hinton E, Huang HC. A family of quadrilateral Mindlin plate elements with substitute shear strain fields. Computers and Structures 1986; 23:409-431.
11. Donea J. Lamain O. A modified representation of transverse shear in CO quadrilateral plate elements. Computer Methods in Applied Mechanics and Engineering 1987; 63:183-207.
12. Polit O, Touratier M, Lory P. A new eight-node quadrilateral shear-bending plate finite element. International Journal for Numerical Methods in Engineering 1994; 37:387-411.
13. Choi CK, Yoo SW. Combined use of multiple improvement techniques in degenerated shell element. Computers and Structures 1991; 39:557-569.
14. Choi CK, Lee WH. Versatile variable node flat shell element. Journal of Engineering and Mechanics Division ASCE, 1996; 122:432-441.
15. Choi CK, Kim SH, Park YM, Chung KY. Two-dimensional nonconforming finite elements: A state-of-the-art. Structures and Engineering Mechanics 1998; 6(1):41-62.
16. Bathe KJ. Finite Element Procedures. Prentice-Hall: Englewood Cliffs, NJ, 1996.
17. Hughes TJR, Cohen M. The heterosis finite element for plate bending. Computers and Structures 1978; 9:445-450.
18. Park YM, Choi CK. The patch tests and convergence for nonconforming Mindlin plate bending elements. Structures and Engineering Mechanics 1997; 5:471-490.
19. Wilson EL, Ibrahimbegovic A. Use of incompatible displacement modes for the calculation of element stiffness and stresses. Finite Elements in Analysis and Design 1990; 7:229-241.
20. Bathe KJ, Dvorkin EN. A formulation of general shell elements - the use of mixed interpolation of tensorial components. International Journal for Numerical Methods in Engineering 1986; 22:697-722.
21. Timoshenko SP, Woiniwsky-Krieger S. Theory of Plates and Shells (2nd edn). McGraw-Hill: New York, 1959.
22. Choi CK, Lee PS, Park YM. High performance four-node NMS flat shell element. Structures and Engineering Mechanics 1999; 8.