An analytical model to predict the linear viscoelastic behavior of thin-walled laminated fiber-reinforced plastic (FRP) composite beams is presented. Using the correspondence principle, this new model integrates micro/macro-mechanics of composites and mechanics of thin-walled laminated beams to perform beam analyses in the Laplace or Carson domains. The analytical expressions for beam relaxation coefficients are obtained. Using a collocation method, the flexural creep behavior of beams in the time domain is numerically solved. Predictions by the present model are compared favorably with experimental data for glass fiber-reinforced plastic structural laminates under tension and a box-beam under bending. The influence of beam fiber architecture and fiber volume fraction on the linear viscoelastic response for a wide-flange beam is examined to show that this model can be efficiently used in the flexural creep analysis and design of FRP structural shapes.
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References
1.
1. Harms, J. S. and Barbero, E. J.1998. "Prediction of Creep Properties of Laminated Composites from Matrix Creep Data."J. of Reinforced Plastics and Composites, 17(4):361-378.
2.
2. Lee, O. and Ueng, C. E. S.1995. "Creep Phenomenon of Simple Composite Structures."J. of Composite Materials, 29(15):2069-2089.
3.
3. Holmes, M. and Al-Khayatt, S.1975. "Structural Properties of GRP."Composites, 6(4):157-165.
7. Christensen, R. M.1979. Mechanics of Composite Materials. John Wiley & Sons, New York, NY.
8.
8. Laws, N. and McLaughlin, J. R. 1978. "Self-consistent Estimates for the Viscoelastic Creep Compliances of Composite Materials."Proceedings of the Royal Society, London, 39:251-273.
9.
9. Wang, Y. M. and Weng, G. J.1992. "The Influence of Inclusion Shape on the Overall Viscoelastic Behavior of Composites."ASME J. of Applied Mechanics, 59:510-518.
10.
10. Barbero, E. J. and Luciano, R.1995. "Micromechanical Formulas for the Relaxation Tensor of Linear Viscoelastic Composites with Transversely Isotropic Fibers."Int. J. of Solids and Structures, 32(13):1859-1872.
11.
11. Luciano, R. and Barbero, E. J.1995. "Analytical Expressions for the Relaxation Moduli of Linear Viscoelastic Composites with Periodic Microstructure."Journal of Applied Mechanics, ASME, 62(3):786-793.
12.
12. Iwakuma, T. and Nemat-Nasser, S.1983. "Composites with Periodic Microstructure."Computers and Structures, 16(1-4):13-19.
13.
13. Luciano, R. and Barbero, E. J.1994. "Formulas for the Stiffness of Composites with Periodic Microstructure."nt. Journal of Solids and Structures, 31(21):2933-2944.
14.
14. Harris, J. S. 1996. Environmental Effects on the Creep Response of Polymer Matrix Composites and Metal Matrix Composites. Master of Science Thesis, West Virginia University, Morgantown, WV.
15.
15. Barbero, E. J., Lopez-Anido, R. and Davalos, J. F.1993. "On the Mechanics of Thin-walled Laminated Composite Beams."J. Composite Materials, 27:806-829.
16.
16. Massa, J. C. and Barbero, E. J.1998. "A Strength of Materials Formulations for Thin Walled Composite Beams with Torsion,"J. Composite Materials, (17):1560-1594.
17.
17. Barbero, E. J.1999. Introduction to Composite Materials Design. Taylor & Francis, Philadelphia, PA.
18.
18. Whitney, J. M., Browning, C. E. and Mair, A.1974. "Analysis of the Flexure Test for Laminated Composite Materials."Composite Materials: Testing and Design (3rd Conference), ASTM STP 546, ASTM, 30-45.
19.
19. Tsai, S. W.1988. Composites Design. Think Composites, Dayton, Ohio.
20.
20. Davalos, J. F., Salim, H. A., Qiao, P., Lopez-Anido, R. and Barbero, E. J.1996. "Analysis and Design of Pultruded FRP Shapes under Bending."Composites: Part B, Engineering J., 27(3-4):295-305.
21.
21. Aboudi, J.1991. Mechanics of Composite Materials, a Unified Micromechanical Approach. Elsevier, New York.
22.
22. Yancey, R. N. and Pindera, M. J.1990. "Micromechanical Analysis of the Creep Response of Unidirectional Composites."ASMEJ. of Engineering Materials and Technology, 1 2:157-163.
23.
23. Nemat-Nasser, S. and Taya, M.1981. "On Effective Moduli of an Elastic Body Containing Periodically Distributed Voids."Quarterly Applied Mathematics, 39:43-59.
24.
24. Hull, D.1981. An Introduction to Composite Materials. Cambridge University Press.
25.
25. Davalos, J. F., Qiao, P. and Barbero, E. J.1996. "Multiobjective Material Architecture Optimization of Pultruded FRP I-beams."Composite Structures, 35(3):271-281.
26.
26. Qiao, P. 1997. Analysis and Design Optimization of Fiber-reinforced Plastic (FRP) Structural Beams. Doctoral Dissertation, Department of Civil and Environmental Engineering, West Virginia University, Morgantown, WV.
27.
27. Qiao, P., Davalos, J. F. and Barbero, E. J.1994. FRPBEAM: A Computer Program for Analysis and Design of FRP Beams. Department of Civil and Environmental Engineering, West Virginia University, Morgantown, WV.
