Assessment of the refined sinus model for the non-linear analysis of composite beams

Composite Structures

Volumn 87, Issue 4, 2009, Pages 370-381

  Vidal, P ^a   Polit, O ^a  

^a UNIVERSITÉ PARIS OUEST NANTERRE LA DÉFENSE   (France)

Author keywords

Finite element; Geometric non linearity; Higher order transverse shear; Laminated composite beam; Layer refinement

Indexed keywords

BENDING TESTS; BINARY CODES; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; KETONES; SHEAR STRAIN;

2D ANALYSIS; BOUNDARY CONDITIONING; COMPOSITE BEAMS; CONTINUITY CONDITIONS; COSINE FUNCTIONS; FINITE ELEMENT; GEOMETRIC NON-LINEARITY; HIGHER-ORDER TRANSVERSE SHEAR; INTERLAMINAR; LAG RANGE; LAMINATED BEAMS; LAMINATED COMPOSITE BEAM; LAYER REFINEMENT; NON-LINEAR; NON-LINEAR ANALYSIS; POST-BUCKLING; SHEAR CORRECTION FACTORS; THICKNESS RATIOS; TRANSVERSE SHEAR;

FINITE ELEMENT METHOD;

BEAM; BUCKLING; COMPOSITE; COMPUTER SIMULATION; FINITE ELEMENT ANALYSIS; LAMINATE; SHEAR PROPERTY; STRAIN;

EID: 52749083599     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2008.02.007     Document Type: Article

References (51)

1. Khdeir A.A., and Reddy J.N. Buckling of cross-ply laminated beams with arbitrary boundary conditions. Compos Struct 37 (1997) 1-3
2. Vidal P., and Polit O. A family of sinus finite elements for the analysis of rectangular laminated beams. Compos Struct 84 1 (2008) 56-72
3. Tanigawa Y., Murakami H., and Ootao Y. Transient thermal stress analysis of a laminated composite beam. J Thermal Stresses 12 (1989) 25-39
4. Lee C.-Y., Liu D., and Lu X. Static and vibration analysis of laminated composite beams with an interlaminar shear stress continuity theory. Int J Num Meth Eng 33 (1992) 409-424
5. Soldatos K.P., and Elishakoff I. A transverse shear and normal deformable orthotropic beam theory. J Sound Vibr 155 3 (1992) 528-533
6. Reddy J.N. A simple higher-order theory for laminated composite plates. J Appl Mech ASME 51 4 (1984) 745-752
7. Marur S.R., and Kant T. On the performance of higher order theories for transient dynamic analysis of sandwich and composite beams. Comput Struct 65 5 (1997) 741-759
8. Liu S., and Soldatos K.P. On the prediction improvement of transverse stress distributions in cross-ply laminated beams: advanced versus conventional beam modelling. Int J Mech Sci 44 (2002) 287-304
9. Murthy M.V.V.S., Roy Mahapatra D., Badarinarayana K., and Gopalakrishnan S. A refined higher order finite element for asymmetric composite beams. Compos Struct 67 1 (2005) 27-35
10. Subramanian P. Dynamic analysis of laminated composite beams using higher order theories and finite elements. Compos Struct 73 (2006) 342-353
11. Vinayak R.U., Prathap G., and Naganarayana B.P. Beam elements based on a higher order theory - I. Formulation and analysis of performance. Comput Struct 58 4 (1996) 775-789
12. Matsunaga H. Interlaminar stress analysis of laminated composite beams according to global higher-order deformation theories. Comput Struct 55 1 (2002) 105-114
13. Ramos Loja M.A., Barbosa J.I., and Mota Soares C.M. Buckling behaviour of laminated beam structures using a higher-order discrete model. Compos Struct 38 (1997) 119-131
14. Karama M., Afaq K.S., and Mistou S. Mechanical behaviour of laminated composite beam by the new multi-layered laminated composite structures model with transverse shear stress continuity. Int J Solids Struct 40 (2003) 1525-1546
15. Karama M., Abou Harb B., Mistou S., and Caperaa S. Bending, buckling and free vibration of laminated composite with a transverse shear stress continuity model. Composite Part B: Eng J 29 (1998) 223-234
16. Matsunaga H. Vibration and buckling of multilayered composite beams according to higher order deformation theories. J Sound Vibr 246 1 (2001) 47-62
17. Song S.J., and Waas A.M. Effects of shear deformation on buckling and free vibration of laminated composite beams. Compos Struct 37 1 (1997) 33-43
18. Aydogdu M. Buckling analysis of cross-ply laminated beams with general boundary conditions by Ritz method. Compos Sci Technol 66 (2006) 1248-1255
19. Chandrashekhara K., and Bangera K.M. Linear and geometrically non-linear analysis of composite beams under transverse loading. Compos Sci Technol 47 (1993) 339-347
20. Polit O., and Touratier M. High order triangular sandwich plate finite element for linear and nonlinear analyses. Comput Meth Appl Mech Eng 185 (2000) 305-324
21. Noor A.K., and Burton W.S. Stress and free vibration analysis of multilayered composite plates. Comput Struct 11 3 (1989) 183-204
22. Carrera E. Layer-wise mixed models for accurate vibrations analysis of multilayered plates. J Appl Mech ASME 65 (1998) 820-828
23. Reddy J.N. On refined computational models of composite laminates. Int J Num Meth Eng 27 (1989) 361-382
24. Karger L., Wetzel A., Rolfes R., and Rohwer K. A three-layered sandwich element with improved transverse shear stiffness and stresses based on FSDT. Comput Struct 84 (2006) 843-854
25. Pagano N.J. Exact solutions for composite laminates in cylindrical bending. J Comp Mater 3 (1969) 398-411
26. Murakami H. Laminated composite plate theory with improved in-plane responses. J Appl Mech ASME 53 (1986) 661-666
27. Reddy J.N. A generalisation of two-dimensional theories of laminated composite plates. Commun Appl Numer Meth 3 (1987) 173-180
28. Icardi U. Higher-order zig-zag model for analysis of thick composite beams with inclusion of transverse normal stress and sublaminates approximations. Composite Part B: Eng J 32 (2001) 342-354
29. Di Sciuva M., and Icardi U. Numerical assessment of the core deformability effect on the behavior of sandwich beams. Compos Struct 52 (2001) 41-53
30. Averill R.C., and Yip Y.C. Development of simple, robust finite elements based on refined theories for thick laminated beams. Compos Struct 59 (1996) 529-546
31. Cho Y.-B., and Averill R.C. An improved theory and finite element model for laminated composite and sandwich beams using first-order zig-zag sublaminate approximations. Compos Struct 37 3-4 (1997) 281-298
32. Carrera E. On the use of the Murakami's zig-zag function in the modeling of layered plates and shells. Comput Struct 82 (2004) 541-554
33. Carrera E. Historical review of zig-zag theories for multilayered plates and shells. Appl Mech Rev 56 3 (2003) 287-308
34. Kapuria S., Dumir P.C., and Jain N.K. Assessment of zigzag theory for static loading, buckling, free and forced response of composite and sandwich beams. Compos Struct 64 (2004) 317-327
35. Noor A.K., and Burton W.S. Assessment of computational models for multilayered composite shells. Appl Mech Rev 43 4 (1990) 67-97
36. Reddy J.N. Mechanics of laminated composite plates - theory and analysis (1997), CRC Press Inc.
37. Carrera E. Theories and finite elements for multilayered, anisotropic, composite plates and shells. Arch Comput Meth Eng 9 (2002) 87-140
38. Kapania R.K., and Raciti S. Recent advances in analysis of laminated beams and plates. Part I: shear effects and buckling. AIAA J 27 (1989) 923-934
39. Touratier M. A generalization of shear deformation theories for axisymmetric multilayered shells. Int J Solids Struct 29 (1992) 1379-1399
40. 1 finite element including transverse shear and torsion warping for rectangular sandwich beams. Int J Num Meth Eng 45 (1999) 47-75
41. Li X., and Liu D. Generalized laminate theories based on double superposition hypothesis. Int J Num Meth Eng 40 (1997) 1197-1212
42. Touratier M. An efficient standard plate theory. Int J Eng Sci 29 (1991) 901-916
43. 1 plate and shell finite elements for geometrically nonlinear analysis of multilayered structures. Comput Struct 84 (2006) 1264-1274
44. Touratier M. A refined theory of laminated shallow shells. Int J Solids Struct 29 11 (1992) 1401-1415
45. Vidal P., and Polit O. A thermomechanical finite element for the analysis of rectangular laminated beams. Finite Elem Anal Des 42 10 (2006) 868-883
46. Sze K.Y., Chen R., and Cheung Y.K. Finite element model with continuous transverse shear stress for composite laminates in cylindrical bending. Finite Elem Anal Des 31 (1998) 153-164
47. Wu Z., Chen R., and Chen W. Refined laminated composite plate element based on global-local higher-order shear deformation theory. Compos Struct 70 2 (2005) 135-152
48. 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
49. Wennerstrom H, Backlund J. Static, free vibration and buckling analysis of sandwich beams. Report 86-3, Department of Aeronautical Structures and Materials. Royal Institute of Technology, Stockholm, Sweden, 1986.
50. Bhimaraddi A., and Chandrashekhara K. Some observations on the modelling of laminated composite beams with general lay-ups. Compos Struct 19 (1991) 371-380
51. Ansys. Ansys theoretical manual. Swanson Analysis Inc.; 1986.