Linear and Geometrically nonlinear analysis of plates and shells by a new refined non-conforming triangular plate/shell element

Computational Mechanics

Volumn 36, Issue 5, 2005, Pages 331-342

  Zhang, Y X ^a   Kim, K S ^a  

^a Pohang University of Science and Technology (POSTECH)   (South Korea)

Author keywords

Coupled displacement continuity requirement; Displacement continuity condition; Refined non conforming element method; Refined non conforming triangular plate shell element

Indexed keywords

BENDING (DEFORMATION); DEGREES OF FREEDOM (MECHANICS); DRILLING; KINEMATICS; MEMBRANES; SHELLS (STRUCTURES);

COUPLED DISPLACEMENT CONTINUITY REQUIREMENT; DISPLACEMENT CONTINUITY CONDITION; REFINED NON-CONFORMING ELEMENT METHOD; REFINED NON-CONFORMING TRIANGULAR PLATE/SHELL ELEMENT;

PLATES (STRUCTURAL COMPONENTS);

EID: 24144489991     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-004-0625-6     Document Type: Article

References (46)

1. Gallagher RH (1976) Problems and progresses in thin shell finite element analysis. In: Ashwell D. G., Gallagher R. H. (eds) Finite Element for Thin shells and Curved Members, Chapter 1. Wiley, London
2. Argyris JH, Dunne PD, MalejannakisA, Schelke E (1977) A simple triangular facet shell element with application to linear and nonlinear equilibrium and elastic stability problems. Comput Meth Appl Mech Engrg 10: 371-403; 11:97-131
3. Horrigmoe G, Bergan PG (1978) Nonlinear analysis of free-form shells by flat finite elements. Comput Meth Appl Mech Engrg 16:11-35
4. Bathe KJ, Ho LW (1981) A simple and effective element for analysis of general shell structures. Comput Struct 13:673-681
5. Hsiao KM (1987) Nonlinear analysis of general shell structures by flat triangular shell elements. Comput Struct 25:665-675
6. Talbot M, Dhatt G (1987) Three Discrete Kirchhoff elements for shell analysis with large geometrically non-linearities and bifurcations. Engrg Comput 4:15-22
7. Fafard M, Dhatt G, Batoz JL (1989) A new Discrete Kirchhoff plate/shell element with updated procedures. Comput Struct 31:591-606
8. Chen KK (1979) A triangular plate finite element for large-displacement elastic-plastic analysis of automobile structural components. Comput Struct 10:203-215
9. Peric D, Owen DRJ (1991) The Morley thin shell finite element for large deformations problem: simplicity versus sophistication. In: Proc. of the International Conference on Onlinear Engineering Computations, Pineridge, Swansea, Wales, U.K. pp. 121-142
10. Peng X, Crisfield MA (1992) A consistent co-rotational formulation for shells using the constant stress/constant moment triangle. Int J Numer Meth Eng 35:1829-1847
11. Meek JL, Tan HS (1986) Instability analysis of thin plates and arbitrary shells using a faceted shell element with Loof nodes. Comput Meth Appl Mech Eng 57:143-170
12. Meek JL, Ristic S (1997) Large displacement analysis of thin plates and shells using a flat facet finite element formulation. Comput Meth Appl Mech Eng 145:285-299
13. Knight NF Jr. (1997) Raasch challenge for shell elements. AIAA, J 35:375-381
14. Bergan PG, Nygard MK(1986) Nonlinear shell analysis using free formulation finite elements. In: Bergan PG, Bathe KJ, Wunderlich W, (eds), Finite Element Method for Nonlinear Problems, Springer, Heidelberg, Germany, pp 317-337
15. Oral S, Barut A (1991) A Shear-flexible facet shell element for large deflection and instability analysis. Comput Meth Appl Mech Eng 93:415-431
16. Tessler A, Hughes TJR (1985) A three-node Mindlin plate element with improved transverse shear. Comput Meth Appl Mech Eng 50:71-101
17. Allman DJ (1984) A compatible triangular element including vertex rotations for plane elasticity analysis. Comput Struct 19:1-8
18. Zhang Q, Lu M, Kuang WQ (1998) Geometric non-linear analysis of space shell structures using generalized conforming flat shell elements - for space shell structures. Commun Numer Meth Engrg 14:941-957
19. Chen YL, Cen S, et al (2003) Development of triangular flat-shell element using a new thin-thick plate bending element based on semiloof constraints. Structural Engineering and Mechanics, 15:83-114
20. Kapania RK, and Mohan P (1996) Static, free vibration and thermal analysis of composite plates and shells using a flat triangular shell element. Computational Mechanics, 17:343-357
21. Mohan P and Kapania RK (1998) Updated Lagrangian formulation of a flat triangular element for thin laminated shells. AIAA J., 36(2):273-281
22. To CWS and Wang B (1998) Hybrid strain-based three-node flat triangular laminated composite shell elements. Finite Elements in Analysis and Design, 28(3): 177-207
23. Cheung YK, Chen WJ (1995) Refined nine-parameter triangular thin plate bending element by using refined direct stiffness method. Int J Numer Meth Eng 38:283-298
24. Chen WJ (1997) Variational principles and refined non-conforming element methods for geometrically nonlinear analysis. Commun Numer Meth Engrg 13:665-673
25. Chen WJ, Cheung YK(1997) Refined non-conforming quadrilateral thin plate bending element. Int J Numer Meth Eng 40:3919-3935
26. Cheung YK, Zhang YX, Chen WJ (2000) The application of a refined non-conforming quadrilateral plate bending element in thin plate vibration and stability analysis. Finite elements in Analysis and Design. 34:175-191
27. Chen WJ, Cheung YK (1997) Refined quadrilateral discrete Kirchhoff thin plate bending element. Int J Numer Meth Eng 41:3937-3953
28. Chen WJ, Cheung YK (1998) Refined triangular discrete Kirchhoff thin plate bending element for thin plate bending, vibration and buckling analysis. Int J Numer Meth Eng 41:1507-1525
29. Cheung YK, Zhang YX, Chen WJ (2000) A refined nonconforming plane quadrilateral element. Comput & Struct 78:699-709
30. Zhang YX, Cheung YK (2003) A refined nonlinear non-conforming triangular plate/shell element, to appear in Int. J Numer Meth Eng, V 57.
31. Zhang YX, Cheung YK (2003) Geometric nonlinear analysis of thin plates by a refined nonlinear non-conforming triangular plate element. Thin-walled structures 41:403-418
32. Yang CH, Zhang YX (2002) Two simple membrane elements with vertex degrees of freedom. In Y.C. Loo, S.H. Chowdhury and S. Fragomeni (eds.) Proceeding of the 17th Australian conference on the mechanics of structures and Materials, Gold Coast, Queensland, Australia, pp. 113-118
33. Chen WJ, Cheung YK (1999) Refined non-conforming triangular elements for analysis of shell structures. Int J Numer Meth Eng 46:433-455
34. Cook RD (1986) On the Allman triangular and a related quadrilateral element. Computers & Structures 22:1065-1067
35. Zhang YX, Cheung YK, Chen WJ (2000) Two refined nonconforming quadrilateral flat shell element. Int J Numer Meth Eng 49:355-382
36. Fish J, Belytshko T (1992) Stabilized rapidly convergent 18-degree-of-freedom flat shell triangular element. Int J Numer Meth Eng 33:149-162
37. Bathe KJ (1982) Finite element procedures in engineering analysis, Prentice-Hall, Englewood Cliffs, New Jersey
38. ABAQUS theory manual, Version 6.2, Hibbitt, Karlsson & Sorensen, Inc. 2001
39. Baloz JL, Bathe KJ, Ho LW (1980) A study of three-node triangular plate bending element. Int J Numer Meth Eng 15:1771-1812
40. Bergan PG, Felippa CA (1985) A triangular membrane element with rotational degrees of freedom. Comput Meth Appl Mech Eng 50:25-69
41. Pica A, Wood RD, Hinton E (1980) Finite element analysis of geometrically nonlinear plate behavior using a Mindlin formulation. Comput Mech 11:203-215
42. Chia CY (1980) Nonlinear analysis of plates, McGraw-Hill, London
43. Stricklin JA, Haisler WE, Tisdale PR (1969) A rapidly converging triangular plate element. AIAA J 7:180-181
44. Schoop H (1989) A simple nonlinear flat element for large displacement structures. Comput Struct 32:379-385
45. Belytschko T, Stolarski H et al (1985) Stress projection for membrane and shear locking in shell finite elements. Comput Meth Appl Mech Eng 51:221-258
46. MacNeal RH, Harder RL (1985) A proosed standard set of problems to test finite element accuracy. Finite Element Anal Des 1:3-20