Bending of a Cross-Ply Laminated Composite Beam Under a Sinusoidal Transverse Loading

Year 2023, Volume: 10 Issue: 4, 301 - 307, 31.12.2023

Fatih Karaçam

https://doi.org/10.17350/HJSE19030000319

Abstract

Bending of a laminated composite beam under to a sinusoidal loading is carried out for simply support boundary condition for a specific cross-ply stacking sequence. To demonstrate the accuracy of the analytical results, a computer-aided engineering (CAE) approach is used. In the analytical solution, a unified shear deformation theory with a parabolic shape function is used. The longitudinal and vertical displacements, normal and shear stresses, namely, the bending stresses of analytical and CAE solutions are obtained and compared with the literature. Although two different methods are used in the study, the analysis results converge to the reference values. The variation of the displacements, normal and shear stresses are illustrated in the graphics with respect to the beam length and thickness respectively.

Keywords

Bending, static analysis, laminated composite beam, shear deformation beam theory, computer-aided engineering

References

• 1. Sankar BV. An elasticity solution for functionally graded beams. Composites Science and Technology. 2001;61:689-696.
• 2. Sayyad AS, Ghugal YM, Borkar RR. Flexural analysis of fibrous composite beams under various mechanical loadings using refined shear deformation theories. Composites: Mechanics, Computations, Applications. An International Journal. 2014;5(1):1-19.
• 3. Sayyad AS, Ghugal YM, Naik NS. Bending analysis of laminated composite and sandwich beams according to refined trigonometric beam theory. Curved and Layered Structures. 2015;2:279-289.
• 4. Pimenta RJ, Queiroz G, Diniz SMC. Reliability-based design recommendations for sinusoidal-web beams subjected to lateral-torsional buckling. Engineering Structures. 2015;84:195–206.
• 5. Pagani A, Yan Y, Carrera E. Exact solutions for static analysis of laminated, box and sandwich beams by refined layer-wise theory. Composites Part B. 2017;13:62-75.
• 6. Jiaoa P, Borchania W, Soleimania S, McGraw B. Lateraltorsional buckling analysis of wood composite I-beams with sinusoidal corrugated web. Thin-Walled Structures. 2017;119:72–82.
• 7. Liu T, Li ZM, Jin S. Nonlinear bending analysis of anisotropic laminated tubular beams based on higher-order theory subjected to different kinds of distributed loads. International Journal of Pressure Vessels and Piping. 2018;163:23-35.
• 8. Dorduncu M. Stress analysis of laminated composite beams using refined zigzag theory and peridynamic differential operator. Composite Structures. 2019;218:193-203.
• 9. Karakoti A, Kar VR. Deformation characteristics of sinusoidally-corrugated laminated composite panel - A higher-order finite element approach. Composite Structures. 2019;216:151-158.
• 10. Pandey N, Gadade AM. Static response of laminated composite beam subjected to transverse loading. Materials Today: Proceedings. 2019;16:956-963.
• 11. Sobhy M. Levy solution for bending response of FG carbon nanotube reinforced plates under uniform, linear, sinusoidal, and exponential distributed loadings. Engineering Structures. 2019;182:198-212.
• 12. Wang M, Xu YG, Qiao P, Li ZM. A two-dimensional elasticity model for bending and free vibration analysis of graphenereinforced composite laminated beams. Composite Structures. 2019;211:364-375.
• 13. Pathirana S, Qiao P. Local buckling analysis of periodic sinusoidal corrugated composite panels under uniaxial compression. Composite Structures. 2019;220:148-157.
• 14. Pathirana S, Qiao P. Elastic local buckling of periodic sinusoidal corrugated composite panels subjected to inplane shear. Thin-Walled Structures. 2020;157:107134.
• 15. Zaboon JK, Jassim SF. Bending of cross-ply laminated composite beams with various boundary conditions and loading. Materials Today: Proceedings. 2022;61:930–934.
• 16. Zhu S, Zhang YX, Lee CK. Experimental investigation of flexural behaviours of hybrid engineered cementitious composite beams under static and fatigue loading. Engineering Structures. 2022;262:114369.
• 17. Soldatos KP, Tımarcı, T. A unified formulation of laminated composite, shear deformable five-degrees-o-f freedom cylindrical shell theories. Composite Structures. 1993;25:165-171.
• 18. Jones RM. Mechanics of Composite Materials. McGraw-Hill New York; 1975.
• 19. Karama M, Afaq KS, Mistou S. Mechanical behaviour of laminated composite beam by the new multilayered laminated composite structures model with transverse shear stress continuity. International Journal of Solids and Structures. 2003;40:1525-1546.
• 20. Karama M, Harb BA, Mistou S, Caperaa S. Bending, buckling and free vibration of laminated composite with a transverse shear stress continuity model. Composites Part B. 1998;29(B):223-234.
• 21. Karacam F, Timarci T. Bending of cross-ply beams with different boundary conditions. UNITECH Gabrovo-05 International Scientific Conference, Gabrovo, Bulgaria, November. 2005;2:137-142.