Applications of point interpolation method for spatial general shells structures

Computer Methods in Applied Mechanics and Engineering

Volumn 196, Issue 9-12, 2007, Pages 1633-1647

  Liu, L ^a   Chua, L P ^a   Ghista, D N ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Conforming point interpolation method; Matrix triangularization algorithm; Meshfree method; Non conforming point interpolation method; Shell structures

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; FINITE ELEMENT METHOD; GALERKIN METHODS; INTERPOLATION; STRUCTURAL ANALYSIS;

ELEMENT-FREE GALERKIN METHOD; MATRIX TRIANGULARIZATION ALGORITHM; POINT INTERPOLATION METHOD; SHAPE FUNCTIONS;

SHELLS (STRUCTURES);

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; FINITE ELEMENT METHOD; GALERKIN METHODS; INTERPOLATION; SHELLS (STRUCTURES); STRUCTURAL ANALYSIS;

EID: 33845670431     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2006.08.017     Document Type: Article

References (20)

1. Yang H.T.Y., Saigal S., and Liaw D.G. Advances of thin shell finite elements and some applications-version-I. Comput. Struct. 35 (1990) 481-504
2. Yang H.T.Y., Saigal S., Masud A., and Kapania R.K. A survey of recent shell finite elements. Int. J. Numer. Methods Engrg. 47 (2000) 101-127
3. Monaghan J.J. An introduction of SPH. Comput. Phys. Commun. 48 (1982) 89-96
4. Duarte C.A., and Oden J.T. An h-p adaptive method using clouds. Comput. Methods Appl. Mech. Engrg. 139 (1996) 237-262
5. Liu W.K., Sukky J., Li S., Adee J., and Belytschko T. Reproducing kernel particle methods for structural dynamics. Int. J. Numer. Methods Engrg. 38 (1995) 1655-1679
6. Belytschko T., Lu Y.Y., and Gu L. Element-free Galerkin methods. Int. J. Numer. Methods Engrg. 37 (1994) 229-256
7. Atluri S.N., and Zhu T.L. New concepts in meshless methods. Int. J. Numer. Methods Engrg. 47 (2000) 537-556
8. Liu G.R., and Gu Y.T. A point interpolation method for two-dimensional solids. Int. J. Numer. Methods Engrg. 50 (2001) 937-951
9. Wang J.G., Liu G.R., and Wu Y.G. A point interpolation method for simulating dissipation process of consolidation. Comput. Methods Appl. Mech. Engrg. 190 (2001) 5907-5922
10. G.R. Liu, Y.T. Gu, A matrix triangularization algorithm for point interpolation method, In: Proceedings of the Asia-Pacific vibration conference, 2001, pp. 1151-1154.
11. Liu G.R. Mesh Free Methods: Moving Beyond the Finite Element Method (2002), CRC press
12. Liu G.R., Gu Y.T., and Dai K.Y. Assessment and application of point interpolation methods for computational mechanics. Int. J. Numer. Methods Engrg. 59 (2004) 1373-1397
13. Krysl P., and Belytschko T. Analysis of thin shells by element-free Galerkin method. Int. J. Solids Struct. 33 (1996) 3057-3080
14. Li S., Hao W., and Liu W.K. Numerical simulations of large deformation of thin shell structures using meshfree methods. Computat. Mech. 25 (2000) 102-116
15. Noguchi H., Kawashima T., and Miyamura T. Element free analyses of shell and spatial structures. Int. J. Numer. Methods Engrg. 47 (2000) 1215-1240
16. Simo J., and Fox D.D. On a stress resultant geometrically exact shell model, Part I: formulation and optimal parameterization. Comput. Methods Appl. Mech. Engrg. 72 (1989) 267-304
17. Simo J., Fox D.D., and Rifai M.S. On a stress resultant geometrically exact shell model, Part II: the Linear Theory. Comput. Methods Appl. Mech. Engrg. 73 (1989) 53-92
18. Belytschko T., Stolarski H., Liu W.K., Carpenter N., and Ong J.S.-J. Stress projection for membrane and shear locking in shell finite elements. Comput. Methods Appl. Mech. Engrg. 51 (1985) 221-258
19. Ibrahimbegovic A. Stress resultants and geometrically exact shell theory for finite rotations and its finite element implementation. Appl. Mech. Rev. 50 4 (1997)
20. Hinton E., and Owen D.R.J. Finite element software for plates and shells (1984), Pineridge Press, Swansea