Element free analyses of shell and spatial structures

International Journal for Numerical Methods in Engineering

Volumn 47, Issue 6, 2000, Pages 1215-1240

  Noguchi, Hirohisa ^a   Kawashima, Tetsuya ^a   Miyamura, Tomoshi ^b  

^a KEIO UNIVERSITY   (Japan)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

Element free Galerkin; Geometrically non linear; Membrane; Meshless; Shell

Indexed keywords

COMPUTATIONAL GEOMETRY; FINITE ELEMENT METHOD; GALERKIN METHODS; STRUCTURAL ANALYSIS;

ELEMENT FREE GALERKIN METHOD;

SHELLS (STRUCTURES);

EID: 0033896334     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(20000228)47:6<1215::AID-NME834>3.0.CO;2-M     Document Type: Article

References (22)

1. Monaghan JJ. An introduction of SPH. Computer Physics Communications 1982; 48:89-96.
2. Nayroles B, Touzot G, Villon P. Generalizing the finite element method: diffuse approximation and diffuse elements. Computational Mechanics 1992; 10:307-318.
3. Duarte CA, Oden JT. An h-p adaptive method using clouds. Computer Methods in Applied Mechanics and Engineering 1996; 139:237-262.
4. Liu WK, Jun S, Zhang YF. Reproducing kernel particle methods. International Journal for Numerical Methods in Fluids 1995; 20:1081-1106.
5. Belytschko T, Lu YY, Gu L. Element-free Galerkin methods. International Journal for Numerical Methods in Engineering 1994; 37:229-256.
6. Belytschko T, Gu L, Lu YY. Fracture and crack growth by element-free Galerkin methods. Modeling Simulations Materials Science and Engineering 1994; 2: 519-534.
7. Lu YY, Belytschko T, Gu L. A new implementation of the element-free Galerkin method. Computer Methods in Applied Mechanics and Engineering 1994; 113:397-414.
8. Belytschko T, Organ D, Krongauz Y. A coupled finite element - element-free Galerkin method. Computational Mechanics 1995; 17:186-195.
9. Krysl P, Belytschko T. Analysis of thin plates by the element-free Galerkin method. Computational Mechanics 1985; 16:1-10.
10. Krysl P, Belytschko T. Analysis of thin shells by the element-free Galerkin method. International Journal of Solids and Structures 1996; 33:3057-3080.
11. Noguchi H. Application of element free Galerkin method to analysis of Mindlin type plate/shell problems. Proceedings of ICES91, 1997; 918-923.
12. Donning BM, Liu WK. Meshless methods for shear-deformable beams and plates. Computer Methods in Applied Mechanics and Engineering 1998; 152:47-71.
13. Beissel S, Belytschko T. Nodal integration of the element-free Galerkin method. Computer Methods in Applied Mechanics and Engineering 1996; 139:49-74.
14. Nagashima T, Okuda H, Yagawa G. Development of meshless approach based on the Galerkin method. Proceedings of the Conference on Computer Engineering and Science, vol. 1. 1996; 3-6.
15. Ahmad S, Irons BM, Zienkiewicz OC. Analysis of thick and thin shell structures by curved elements. International Journal for Numerical Methods in Engineering 1970; 2:419-451.
16. Argyris J. An exclusion into large rotations. Computer Methods in Applied Mechanics and Engineering 1982; 32:85-155.
17. Noguchi H, Hisada T. Sensitivity analysis of post-buckling problems of shell structures. Computers and Structures 1993; 47:699-710.
18. 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.
19. Simo JC, Fox DD, Rifai MS. On a stress resultant geometrically exact shell model. Part II, The linear theory; Computational aspects. Computer Methods in Applied Mechanics and Engineering 1989; 73:53-92.
20. Ramm E, Matzenmiller A. Large deformation shell analyses based on the degeneration concept. In State of the Art Texts on Finite Element Methods for Plate and Shell Structures, Hughes TJR, Hinton E (eds). Pineridge Press: Swansea, 1986.
21. Hinton E, Owen DRJ. Finite Element Software for Plate and Shells. Pineridge Press: Swansea, 1984.
22. Miyamura T, Hangai Y. Wrinkling on stretched circular membranes under inplane torsion. Journal of Structures and Construction Engineering (Transactions of AIJ) 1997; 494:91-98.