Thermal buckling behavior of laminated composite plates: a finite-element study

Abstract

In this paper, the thermal buckling behavior of composite laminated plates under a uniform temperature distribution is studied. A finite element of four nodes and 32 degrees of freedom (DOF), previously developed for the bending and mechanical buckling of laminated composite plates, is extended to investigate the thermal buckling behavior of laminated composite plates. Based upon the classical plate theory, the present finite element is a combination of a linear isoparametric membrane element and a high precision rectangular Hermitian element. The numerical implementation of the present finite element allowed the comparison of the numerical obtained results with results obtained from the literature: 1) with element of the same order, 2) the first order shear deformation theory, 3) the high order shear deformation theory and 4) the three-dimensional solution. It was found that the obtained results were very close to the reference results and the proposed element offers a good convergence speed. Furthermore, a parametrical study was also conducted to investigate the effect of the anisotropy of composite materials on the critical buckling temperature of laminated plates. The study showed that: 1) the critical buckling temperature generally decreases with the increasing of the modulus ratio E_L/E_T and thermal expansion ratio α_T/α_L, and 2) the boundary conditions and the orientation angles significantly affect the critical buckling temperature of laminated plates.

Key words： thermal buckling; laminated composite plates; anisotropy; critical buckling temperature; finite-element method; high precision rectangular Hermitian element

References

1 GillS, GuptaM, SatsangiP S. Prediction of cutting forces in machining of unidirectional glass fiber reinforced plastics composite. Frontiers of Mechanical Engineering, 2013, 8(2): 187-200

2 ThorntonE A. Thermal Structures for Aerospace Applications. Reston, VA: AIAA, 1996

3 JonesR M. Buckling of Bars, Plates, and Shells. Blacksburg Virginia: Bull Ridge Publishing, 2006

4 TatiA, AbibsiA. Un element fini pour la flexion et le flambage des plaques minces stratifiees en materiaux composites. Revue Des Composites Et Des Materiaux Avances, 2007, 17(3): 279-296

5 ZhangY X, YangC H. Recent developments in finite element analysis for laminated composite plates. Composite Structures, 2009, 88(1): 147-157

6 ChenW J, LinP D, ChenL W. Thermal buckling behavior of thick composite laminated plates under nonuniform temperature distribution. Computers & Structures, 1991, 41(4): 637-645

7 ChenW J, LinP D, ChenL W. Thermal buckling behaviour of composite laminated plates with a circular hole. Composite Structures, 1991, 18(4): 379-397

8 HuangN N, TauchertT R. Thermal buckling of clamped symmetric laminated plates. Thin-walled Structures, 1992, 13(4): 259-273

9 NoorA K, PetersJ M. Thermomechanical buckling of multilayered composite plates. Journal of Engineering Mechanics, 1992, 118(2): 351-366

10 NoorA K, PetersJ M. Finite element buckling and postbuckling solutions for multilayered composite panels. Finite Elements in Analysis and Design, 1994, 15(4): 343-367

11 NoorA K, StarnesJ H, PetersJ M. Thermomechanical buckling of multilayered composite panels with cutouts. AIAA Journal, 1994, 32(7): 1507-1519

12 NoorA K, StarnesJ H Jr, PetersJ M. Thermomechanical buckling and postbuckling of multilayered composite panels. Composite Structures, 1993, 23(3): 233-251

13 ChandrashekharaK. Thermal buckling of laminated plates using a shear flexible finite element. Finite Elements in Analysis and Design, 1992, 12(1): 51-61

14 PrabhuM R, DhanarajR. Thermal buckling of laminated composite plates. Computers & Structures, 1994, 53(5): 1193-1204

15 LeeY S, LeeY W, YangM S, ParkB S. Optimal design of thick laminated composite plates for maximum thermal buckling load. Journal of Thermal Stresses, 1999, 22(3): 259-273

16 TopalU, UzmanÜ. Thermal buckling load optimization of laminated composite plates. Thin-walled Structures, 2008, 46(6): 667-675

17 TopalU, UzmanÜ. Thermal buckling load optimization of laminated skew plates. Materials & Design, 2009, 30(7): 2569-2575

18 WalkerM, ReissT, AdaliS, VerijenkoV E. Optimal design of symmetrically laminated plates for maximum buckling temperature. Journal of Thermal Stresses, 1997, 20(1): 21-33

19 KantT, BabuC S. Thermal buckling analysis of skew fibre-reinforced composite and sandwich plates using shear deformable finite element models. Composite Structures, 2000, 49(1): 77-85

20 SinghaM K, RamachandraL, BandyopadhyayJ. Stability and strength of composite skew plates under thermomechanical loads. AIAA Journal, 2001, 39(8): 1618-1623

21 KabirH R H, AskarH, ChaudhuriR A. Thermal buckling response of shear flexible laminated anisotropic plates using a three-node isoparametric element. Composite Structures, 2003, 59(2): 173-187

22 ŞahinÖ S. Thermal buckling of hybrid angle-ply laminated composite plates with a hole. Composites Science and Technology, 2005, 65(11-12): 1780-1790

23 AvciA, KayaS, DaghanB. Thermal buckling of rectangular laminated plates with a hole. Journal of Reinforced Plastics and Composites, 2005, 24(3): 259-272

24 ChangJ S. FEM analysis of buckling and thermal buckling of antisymmetric angle-ply laminates according to transverse shear and normal deformable high order displacement theory. Computers & Structures, 1990, 37(6): 925-946

25 ChangJ S, ShiaoF J. Thermal buckling analysis of isotropic and composite plates with a hole. Journal of Thermal Stresses, 1990, 13(3): 315-332

26 BabuC S, KantT. Refined higher order finite element models for thermal buckling of laminated composite and sandwich plates. Journal of Thermal Stresses, 2000, 23(2): 111-130

27 WuZ, ChenW. Thermomechanical buckling of laminated composite and sandwich plates using global–local higher order theory. International Journal of Mechanical Sciences, 2007, 49(6): 712-721

28 LalA, SinghB N, KumarR. Effects of random system properties on the thermal buckling analysis of laminated composite plates. Computers & Structures, 2009, 87(17-18): 1119-1128

29 ShiauL C, KuoS Y, ChenC Y. Thermal buckling behavior of composite laminated plates. Composite Structures, 2010, 92(2): 508-514

30 ThangaratnamK R, Palaninathan, RamachandranJ.Thermal buckling of composite laminated plates. Computers & Structures, 1989, 32(5): 1117-1124

31 ChenL W, ChenL Y. Thermal buckling analysis of composite laminated plates by the finite-element method. Journal of Thermal Stresses, 1989, 12(1): 41-56

32 ChenL W, ChenL Y. Thermal buckling behavior of laminated composite plates with temperature-dependent properties. Composite Structures, 1989, 13(4): 275-287

33 ChenL W, ChenL Y. Thermal buckling analysis of laminated cylindrical plates by the finite element method. Computers & Structures, 1990, 34(1): 71-78

34 TopalU, UzmanÜ. Effect of rectangular/circular cutouts on thermal buckling load optimization of angle-ply laminated thin plates. Science and Engineering of Composite Materials, 2010, 17(2): 93-110

35 LeeJ. Thermally induced buckling of laminated composites by a layerwise theory. Computers & Structures, 1997, 65(6): 917-922

36 ShariyatM. Thermal buckling analysis of rectangular composite plates with temperature-dependent properties based on a layerwise theory. Thin-walled Structures, 2007, 45(4): 439-452

37 KumarS, SinghB. Thermal buckling analysis of sma fiber-reinforced composite plates using layerwise model. Journal of Aerospace Engineering, 2009, 22(4): 342-353

38 NaliP, CarreraE. Accurate buckling analysis of composite layered plates with combined thermal and mechanical loadings. Journal of Thermal Stresses, 2013, 36(1): 1-18

39 ShiY, LeeR Y Y, MeiC. Thermal postbuckling of composite plates using the finite element modal coordinate method. Journal of Thermal Stresses, 1999, 22(6): 595-614

40 ZhaoX, LeeY Y, LiewK M. Mechanical and thermal buckling analysis of functionally graded plates. Composite Structures, 2009, 90(2): 161-171

41 MatsunagaH. Thermal buckling of cross-ply laminated composite and sandwich plates according to a global higher-order deformation theory. Composite Structures, 2005, 68(4): 439-454

42 NoorA, BurtonW. Three-dimensional solutions for thermal buckling of multilayered anisotropic plates. Journal of Engineering Mechanics, 1992, 118(4): 683-701

43 DhattG, TouzotG.Une présentation de la méthode des éléments finis. France: Maloine, 1981

44 WhitneyJ M, AshtonJ E. Effect of environment on the elastic response of layered composite plates. AIAA Journal, 1971, 9(9): 1708-1713

45 ChenL W, ChenL Y. Thermal buckling of laminated composite plates. Journal of Thermal Stresses, 1987, 10(4): 345-356

46 ChenW C, LiuW H. Thermal buckling of antisymmetric angle-ply laminated plates— an analytical levy-type solution. Journal of Thermal Stresses, 1993, 16(4): 401-419

47 ChenL W, BrunelleE J, ChenL Y. Thermal buckling of initially stressed thick plates. Journal of Mechanical Design, 1982, 104(3): 557-564

48 JonesR M. Thermal buckling of uniformly heated unidirectional and symmetric cross-ply laminated fiber-reinforced composite uniaxial in-plane restrained simply supported rectangular plates. Composites. Part A, Applied Science and Manufacturing, 2005, 36(10): 1355-1367