Generation of quadrilateral mesh over analytical curved surfaces

Finite Elements in Analysis and Design

Volumn 27, Issue 3, 1997, Pages 251-272

  Lau, T S ^a   Lo, S H ^a   Lee, C K ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Adaptive refinement analysis; Analytical curved surfaces; Automatic adaptive quadrilateral mesh generation

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTER AIDED DESIGN; SHELLS (STRUCTURES); STRUCTURAL DESIGN;

ADAPTIVE REFINEMENT ANALYSIS; ADAPTIVE SURFACE TRIANGULAR MESH GENERATOR; ANALYTICAL CURVED SURFACES; AUTOMATIC ADAPTIVE QUADRILATERAL MESH GENERATION;

FINITE ELEMENT METHOD;

EID: 0031268246     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-874X(97)00015-2     Document Type: Article

References (21)

1. D.A. Lavender, D.R. Hayhurst, An assessment of higher-order isoparametric elements for solving an elastic problem, Comput. Methods Appl. Mech. Eng. 56 (1986) 139-165.
2. S.H. Lo, C.K. Lee, On using mesh of mixed element types in adaptive finite element analysis, Finite Elements Anal. Des. 11 (1992) 307-336.
3. J.Z. Zhu, E. Hinton, O.C. Zienkiewicz, Adaptive finite element analysis with quadrilaterals, Comput. Struct. 40 (1991) 1097-1104.
4. E.N. Dvorkin, K.J. Bathe, A continuum mechanics based four-node shell element for general non-linear analysis, Eng. Comput. 1 (1984) 77-88.
5. H.C. Huang, A new nine node degenerated shell element with enhanced membrane and shear interpolation, Int. J. Numer. Methods Eng. 22 (1986) 73-92.
6. O.C. Zienkiewicz, R.L. Taylor, The Finite Element Method, Vol. 2: Solid and Fluid Mechanics, Dynamics and Nonlinearity, Ch. 3, 4th ed., McGraw-Hill, New York, 1989.
7. O.C. Zienkiewicz, R.L. Taylor, P. Papadopoulos, E. Onate, Plate bending elements with discrete constraints: new triangular elements, Comput. Struct. 35 (1990) 505-522.
8. O.C. Zienkiewicz, D.V. Phillips, An automatic mesh generation scheme for plane and curved surfaces by isoparametric coordinates, Int. J. Numer. Methods Eng. 3 (1971) 519-528.
9. C. Chinnaswamy, B. Amadei, T.H. Illangasekare, A new method for finite element transitional mesh generation, Int. J. Numer. Methods Eng. 31 (1991) 1253-1270.
10. R.H. Crawford, W.N. Waggenspack, J. Anderson, D.C. Anderson, Composite mappings for planar mesh generation, Int. J. Numer. Methods Eng. 24 (1987) 2241-2252.
11. L.C. Wellford, J. Gorman, M.R. Gorman, A finite element transition mesh generation procedure using sweeping functions, Int. J. Numer. Methods Eng. 26 (1988) 2623-2643.
12. Y.C. Liu, H.A. Elmaraghy, K. Zhang, An expert system for forming quadrilateral finite elements, Eng. Comput. 7 (1990) 249-257.
13. J.A. Talbert, A.R. Parkinson, Development of an automatic two-dimensional finite element mesh generator using quadrilateral elements and bezier curve boundary definition, Int. J. Numer. Methods Eng. 29 (1991) 1551-1567.
14. T.D. Blacker, M.B. Stephenson, Paving: a new approach to automated quadrilateral mesh generation, Int. J. Numer. Methods Eng. 32 (1991) 811-847.
15. S.H. Lo, Generating quadrilateral elements on plane and over curved surfaces, Comput. Struct. 31 (1989) 421-426.
16. C.K. Lee, S.H. Lo, A new scheme for the generation of a graded quadrilateral mesh, Comput. Struct. 52 (1994) 847-857.
17. B.P. Johnston, J.M. Sullivan, A. Kwasnik, Automatic conversion of triangular finite element meshes to quadrilateral elements, Int. J. Numer. Methods Eng. 31 (1991) 67-84.
18. J.Z. Zhu, O.C. Zienkiewicz, E. Hinton, J. Wu, A new approach to the development of automatic quadrilateral mesh generation, Int. J. Numer. Methods Eng. 32 (1991) 849-866.
19. J. Peraire, J. Peiro, K. Morgan, O.C. Zienkiewicz, Finite element mesh generation and adaptive procedure for CFD, Proc. GAMNI/SMAI Conf. on automatic and adaptive mesh generation, Grenoble, France, 1-2 October, 1987.
20. T.S. Lau, S.H. Lo, Finite element mesh generation over analytical curved surfaces, Comput. Struct. 59 (1996) 301-309.
21. T.S. Lau, Adaptive finite element analysis for shell structures, Ph.D. Thesis, The University of Hong Kong, 1995.