






Vol.1 , No. 2, Publication Date: Jul. 22, 2014, Page: 35-43
[1] | Mokhtar Bouazza, Department of Civil Engineering, University of Bechar, Bechar, Algeria; Laboratory of Materials and Hydrology, University of Sidi Bel Abbes, Sidi Bel Abbes, Algeria. |
[2] | Khaled Amara, Laboratory of Materials and Hydrology, University of Sidi Bel Abbes, Sidi Bel Abbes, Algeria; Department of Civil Engineering, University centre of Ain Temouchent, Ain Temouchent, Algeria. |
[3] | Mohamed Zidour, Laboratory of Materials and Hydrology, University of Sidi Bel Abbes, Sidi Bel Abbes, Algeria; Department of Civil Engineering, University of Ibn Khaldoun, Zaaroura, Tiaret, Algeria. |
[4] | Abedlouahed Tounsi, Laboratory of Materials and Hydrology, University of Sidi Bel Abbes, Sidi Bel Abbes, Algeria. |
[5] | EL Abbas Adda-Bedia, Laboratory of Materials and Hydrology, University of Sidi Bel Abbes, Sidi Bel Abbes, Algeria. |
The nonlinear response of composite beams modeled according to higher-order shear deformation theories in postbuckling is investigated to study the response of laminated composite beams due to a variation in temperature and moisture concentrations. The beam ends are assumed to be restrained from axial movement, and hence the geometric nonlinearity due to midplane stretching becomes significant. The governing equations consist of three nonlinear partial–differential equations in terms of the midplane axial and lateral displacements in addition to a generalized displacement designating the shear deformation. For the static problem, the model is manipulated to become explicitly independent of the axial displacement, and as a result a flexural model is obtained. Assuming a symmetrically laminated simply supported beam, the displacement field is postulated so as to satisfy the boundary conditions. The effects of temperature and moisture concentrations on the material properties and the hygrothermal response of multilayered beams are studied. Hygrothermal response due to a variation in temperature and moisture concentrations has been studied for different material types sensitive to changing hygrothermal environment conditions.
Keywords
Composite Beams, Postbuckling, Shear Deformation, Hygrothermal Effects
Reference
[01] | C.H. Shen, G.S. Springer, Environmental effects in the elastic moduli of composite material, in: G.S. Springer (Ed.), Environmental Effects on Composite Materials, Technomic Publishing Company, Inc., Westport, CT, 1981, pp. 94–108. |
[02] | D.F. Adams, A.K. Miller, Hygrothermal microstresses in a unidirectional composite exhibiting inelastic materials behaviour, Journal of Composite Materials 11 (1977) 285–299. |
[03] | D.E. Bowles, S.S. Tompkins, Prediction of coefficients of thermal expansion for unidirectional composites, Journal of Composite Materials 23 (1989) 370–381. |
[04] | P.C. Upadhyay, J.S. Lyons, Effect of hygrothermal environment on the bending of PMC laminates under large deflection, Journal of Reinforced Plastics and Composites 19 (6) (2000) 465–491. |
[05] | H.S. Shen, The effects of hygrothermal conditions on the postbuckling of shear deformable laminated cylindrical shells, International Journal of Solids and Structures 38 (2001) 6357–6380. |
[06] | H.S. Shen, Hygrothermal effects on the postbuckling of shear deformable laminated plates, International Journal of Mechanical Sciences 43 (2001) 1259–1281. |
[07] | H.S. Shen, Hygrothermal effects on the postbuckling of axially loaded shear deformable laminated cylindrical panels, Composite Structures 56 (1) (2002) 73–85. |
[08] | Tounsi A, Amara KH, Adda-Bedia E. Analysis of transverse cracking and stiffness loss in cross-ply laminates with hygrothermal conditions. Int J Comput Mater Sci 2005;32:167–74. |
[09] | Amara KH, Tounsi A, Benzair A. Transverse cracking and elastic properties reduction in hygrothermal aged cross-ply laminates. Int J Mater Sci Eng A 2005;396:369–75. |
[10] | Bouazza M, Tounsi A, Benzair A, Adda-bedia EA. Effect of transverse cracking on stiffness reduction of hygrothermal aged cross-ply laminates. Mater Des 2007;28:1116–23. |
[11] | C. H. Wu and T. R. Tauchert, Thermoelastic analysis of laminated plates. 1: Symmetric specially orthotropic laminates. J. Therm. Stresses 3, 247-259 (1980). |
[12] | C. H. Wu and T. R. Tauchert, Thermoelastic analysis of laminated plates. 2: Anti-symmetric cross-ply and angle-ply laminates. J. Therm. Sfresses 3, 365-378 (1980). |
[13] | J. N. Reddy and Y. S. Hsu, Effects of shear deformation and anisotropy on the thermal bending of layered composite plates. J. Therm. Stresses 3, 475493 (1980). |
[14] | R. Kari Thangaratnam, Palaninathan and J. Ramachandran, Thermal stress analysis of laminated composite plates and shells. Compur. Struct. 30,1403-1411 (1988). |
[15] | J. M. Whitney and J. E. Ashton, Effect of environment on the elastic response of layered composite plates. AIAA JI 9, 1708-1713 (1971). |
[16] | R. B. Pipes, J. R. Vinson and T. W. Chou, On the hygrothermal response of laminated composite systems. J. Camp. Mater. 10, 129-148 (1976). |
[17] | Ram KSS, Sinha PK. Hygrothermal effects on the buckling of laminated composite plates. Compos Struct 1992;21:233–47. |
[18] | Lee SY, Chou CJ, Jang JL, Lim JS. Hygrothermal effects on the linear and nonlinear analysis of symmetric angle-ply laminated plates. Compos Struct 1992;21-1:41–8. |
[19] | Wang X, Dong K, Wang XY. Hygrothermal effect on dynamic interlaminar stresses in laminated plates with piezoelectric actuators. Compos Struct 2005;71:220–8. |
[20] | Bahrami A, Nosier A. Interlaminar hygrothermal stresses in laminated plates. Int J Solids Struct 2007;44:8119–42. |
[21] | S.W. Tsai, H.T. Hahn, Introduction to composite materials, Technomic, Westport CT, 1980. |
[22] | Soldatos KP, Timarci T. A unified formulation of laminated composite, shear deformable, five degrees of freedom cylindrical shell theories. Compos Struct 1993;25:165–71. |
[23] | Timarci T, Soldatos KP. Comparative dynamic studies for symmetric cross-ply circular cylindrical shells on the basis of a unified shear deformable shell theory. J Sound Vib 1995;187:609–24. |
[24] | Nayfeh AH, Mook DT. Nonlinear oscillations. New York: Wiley; 1979. |
[25] | Reddy JN. Mechanics of laminated composite plates. Boca Raton: CRC Press; 1997. |
[26] | Hyer MW. Stress analysis of fiber-reinforced composite materials. McGraw-Hill; 1998. |
[27] | Nayfeh AH, Emam SA. Exact solution and stability of postbuckling configurations of beams. Nonlin Dyn 2008;54:395–408. |
[28] | Khdeir AA, Reddy JN. Free vibration of cross-ply laminated beams with arbitrary boundary conditions. Int J Eng Sci 1994;32(12):1971–80 cited By (since 1996) 47. |
[29] | Khdeir AA, Reddy JN. Buckling of cross-ply laminated beams with arbitrary boundary conditions. Compos Struct 1997;37(1):1–3. |
[30] | Aydogdu M. Vibration analysis of cross-ply laminated beams with general boundary conditions by Ritz method. Int J Mech Sci 2005;47(11):1740–55. |
[31] | Aydogdu M. Buckling analysis of cross-ply laminated beams with general boundary conditions by Ritz method. Compos Sci Technol 2006;66(10): 1248–55. |
[32] | Thuc P.Vo, Huu-Tai Thai Vibration and buckling of composite beams using refined shear deformation theory. International Journal of Mechanical Sciences 62 (2012) 67–76. |