A four-node, shear-deformable shell element developed via explicit Kirchhoff constraints

International Journal for Numerical Methods in Engineering

Volumn 49, Issue 8, 2000, Pages 1065-1086

  Liu, Jane ^a   Riggs, H R ^a   Tessler, Alexander ^b  

^a University of Hawaii at Manoa   (United States)

^b NASA LANGLEY RESEARCH CENTER   (United States)

Author keywords

Four node quadrilateral shell element; Kirchhoff constraints; Shear deformation theory

Indexed keywords

APPROXIMATION THEORY; BENDING (DEFORMATION); CONSTRAINT THEORY; INTERPOLATION; KINEMATICS; PLATES (STRUCTURAL COMPONENTS); SHEAR DEFORMATION;

FOUR MODE SHELL ELEMENT; KIRCHOFF CONSTRAINTS; MEMBRANE DISPLACEMENT FIELD; MINDLIN PLATE BENDING THEORY; SHEAR DEFORMABLE SHELL ELEMENT; THREE MODE PLATE ELEMENT; TIMOSHENKO BEAM ELEMENT;

NUMERICAL METHODS;

EID: 0034320930     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/1097-0207(20001120)49:8<1065::AID-NME992>3.0.CO;2-5     Document Type: Article

References (22)

1. Averill RC, Reddy JN. Behaviour of plate elements based on the first-order shear deformation theory. Engineering Computations 1990; 7:57-74.
2. Tessler A. A priori identification of shear locking and stiffening in triangular mindlin elements. Computer Methods in Applied Mechanics and Engineering 1985; 53(2): 183-200.
3. Tessler A, Dong SB. On a hierarchy of conforming Timoshenko beam elements. Computers and Structures 1981; 14(3-4):335-344.
4. Tessler A, Hughes TJR. A three-node mindlin plate element with improved transverse shear. Computer Methods in Applied Mechanics and Engineering 1985; 50:71-101.
5. 0-anisoparametric three-node shallow shell element. Computer Methods in Applied Mechanics and Engineering 1990; 78:89-103.
6. Oral S, Barut A. A shear-flexible facet shell element for large deflection and instability analysis. Computer Methods in Applied Mechanics and Engineering 1991; 93:415-431.
7. Barut A, Madenci E, Tessler A, Starnes Jr. JH. A new stiffened shell element for geometrically nonlinear analysis of composite laminates. Computers and Structures 2000; 77:11-40.
8. Barut A, Madenci E, Tessler A. Nonlinear thermoelastic analysis of composite panels under non-uniform temperature distribution. International Journal of Solids and Structures 2000; 37:3681-3713.
9. Ibrahimbegovic A, Taylor RL, Wilson EL. A robust quadrilateral membrane finite element with drilling degrees of freedom. International Journal for Numerical Methods in Engineering 1990; 30:445-457.
10. Pomeranz S. Personal communication, 1995.
11. Liu YJ. A 4-node anisoparametric mindlin plate element based on the tessler 3-node element. M. S. Thesis, University of Hawaii at Manoa, 1998.
12. Allman DJ. A compatible triangular element including vertex rotations for plane elasticity analysis. Computers and Structures 1984; 19(1-2):1-8.
13. MacNeal RH. Finite Elements: Their Design and Performance, Mechanical Engineering. Marcel Dekker, Inc.: New York, 1994.
14. MacNeal RH, Harder RL. A proposed standard set of problems to test finite element accuracy. Finite Elements in Analysis and Design 1985; 1:3-20.
15. Roark RJ, Young WC. Formulas for Stress and Strain. McGraw-Hill Book Company: New York, 1975.
16. Belytschko T, Stolarski H, Liu WK, Carpenter N, Ong JSJ. Stress projection for membrane and shear locking in shell finite elements. Computer Methods in Applied Mechanics and Engineering 1985; 51:221-258.
17. Chapelle D, Bathe KJ. Fundamental considerations for the finite element analysis of shell structures. Computers and Structures 1998; 66(1):19-36.
18. Taylor RL. Finite element analysis of linear shell problems. In The Mathematics of Finite Elements and Applications VI. Academic Press Limited: New York, 1988; 191-203.
19. Groenwold AA, Stander N. An efficient 4-node 24 D.O.F. thick shell finite element with 5-point quadrature. Engineering Computations 1995; 12:723-747.
20. Yazdani AA, Riggs HR. On the benchmark hemispherical shell problem. Dept. of Civil Engineering, University of Hawaii, 1999; 12 pp.
21. CSI, SAP2000 Analysis Reference, 1996.
22. ANSYS, ANSYS User's Manual, Report v. 5.5, 1998.