C1 plate and shell finite elements for geometrically nonlinear analysis of multilayered structures

Computers and Structures

Volumn 84, Issue 19-20, 2006, Pages 1264-1274

  Dau, F ^a   Polit, O ^b   Touratier, M ^c  

^a ARTS ET MÉTIERS PARISTECH   (France)

^b UNIVERSITÉ PARIS OUEST NANTERRE LA DÉFENSE   (France)

^c UNIVERSITÉ D'ORLÉANS   (France)

Author keywords

Finite element; Geometrically nonlinear analysis; Multilayered plates; Multilayered shell; Refined model

Indexed keywords

FINITE ELEMENT METHOD; FUNCTION EVALUATION; GEOMETRY; STRESS ANALYSIS; STRUCTURAL ANALYSIS;

FINITE ELEMENT; GEOMETRICALLY NONLINEAR ANALYSIS; MULTILAYERED PLATES; MULTILAYERED SHELL; REFINED MODEL;

PLATES (STRUCTURAL COMPONENTS);

EID: 33744800778     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2006.01.031     Document Type: Article

References (23)

1. Noor A.H.K., Burton W.S., and Bert C.W. Computational models for sandwich panels and shells. Appl Mech Rev 49 3 (1996) 155-199
2. Carrera E. Theories and finite elements for multilayered, anisotropic, composite plates and shells. Arch Comput Meth Engng 9 2 (2002) 87-140
3. Botello S., Onate E., and Canet J.M. A layer-wise triangle for analysis of laminated composite plates and shells. Comput Struct 70 (1999) 635-646
4. Klinkel S., Gruttmann F., and Wagner W. A continuum based three dimensional shell element for laminated structures. Comput Struct 71 (1999) 43-62
5. Touratier M. An efficient standard plate theory. Int J Eng Sci 29 (1991) 901-916
6. Touratier M. A refined theory of laminated shallow shells. Int J Solids Struct 29 11 (1992) 1401-1415
7. Béakou A., and Touratier M. A rectangular finite element for analysing composite multilayered shallow shells in statics, vibration and buckling. Int J Num Meth Eng 36 (1993) 627-653
8. Polit O., and Touratier M. A new laminated triangular finite element assuring interface continuity for displacements and stresses. Compos Struct 38 1-4 (1997) 37-44
9. 1 finite element with continuity requirements for multilayered/sandwich shell structures. Comput Struct 82 23-26 (2004) 1889-1899
10. Bernadou M. Finite element methods for thin shell problems (1996), John Wiley and Sons, London
11. Argyris J.H., Fried I., and Scharpf D.W. The tuba family of plate elements for the matrix displacement method. Aero J Royal Aeronaut Soc 72 (1968) 701-709
12. Polit O., and Touratier M. High order triangular sandwich plate finite element for linear and nonlinear analyses. Comput Methods Appl Mech Eng 185 (2000) 305-324
13. Ganev H.G., and Dimitrov Tch.T. Calculation of arch dams as a shell using an ibm-370 computer and curved finite elements. In: Thiur G. (Ed). Theory of shells (1980), North-Holland, Amsterdam 691-696
14. Riks E. An incremental approach to the solution of snapping and buckling problems. Int J Solids Struct 15 (1979) 529-551
15. Hellweg H.B., and Crisfield M.A. A new arc-length method for handling sharp snap-backs. Comput Struct 66 5 (1998) 705-709
16. Zaghloul S.A., and Kennedy J.B. Nonlinear behaviour of symmetrically laminated plates. J Appl Mech ASME 42 1 (1975) 234-236
17. Polit O., Touratier M., and Lory P. A new eight-node quadrilateral shear-bending plate finite element. Int J Num Meth Eng 37 (1994) 387-411
18. Choï D., Palma F.J., Sanchez-Palencia E., and Vilarino M.A. Remarks on membrane locking in the finite element computation of very thin elastic shells. Mod Math Anal Num 32 2 (1998) 131-152
19. Chapelle D., and Bathe K.J. Fundamental considerations for the finite element analysis of shell structures. Comput Struct 66 1 (1998) 19-36
20. Chang T.Y., and Sawamiphakdi K. Large deformation analysis of laminated shells by finite element method. Comput Struct 13 (1981) 331-340
21. Kreja I., Schimdt R., and Reddy J.N. Finite element based on a first order shear deformation moderate rotation shell theory with applications to the analysis of composite structures. Int J Non-Linear Mech 32 6 (1997) 1123-1142
22. Sita Thankam V., Singh G., Venkateswara Rao G., and Rath A.K. Shear flexible element based on coupled displacement field for large deflection analysis of laminated plates. Comput Struct 81 (2003) 309-320
23. Gay D. Matériaux composites. 3rd ed. (1991), Hermes Publishing [in French]