Theoretical study of stress transfer in platelet reinforced composites

• Autorzy: Fattahi A. M. , Mondali M.
• Języki publikacji: EN

Abstrakty

EN

An analytical approach was developed for rectangular platelet reinforced composites which could be used for a 3D elastic stress field distribution subjected to an applied axial load. The ends of the platelet could be bonded to the matrix. Exact displacement solutions were derived for the matrix/platelet fromtheory of elasticity. These displacement solutions were then superposed for achieving analytical expressions for the matrix/platelet 3D stress field components over the entire composite system including the platelet end region, using the adding imaginary fiber technique. The platelet/matrix components could exactly satisfy the equilibrium and compatibility conditions and satisfy the equilibrium requirements and the overall boundary conditions. The obtained analytical results were then validated by FEM and Shear-lag modeling, and some of discrepancies among the shear-lag models were resolved. Good agreements were observed between the analytical and numerical predictions.

Słowa kluczowe

EN

analytical modeling; platelet reinforced composites; stress transfer

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2014
• Tom: Vol. 52 nr 1
• Strony: 3--14
• Opis fizyczny: Bibliogr. 40 poz., rys.

Twórcy

autor

Fattahi A. M.

• Department of Mechanical and Aerospace Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran

autor

Mondali M.

• Department of Mechanical and Aerospace Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran

Bibliografia

• 1. Abedian A., Mondali M., Pahlavanpour M., 2007, Basic modifications in 3D micromechanical modeling of short fibre composites with bonded and debonded fibre end, Computational Materials Science, 40, 421-433
• 2. Agarwal B.D., Broutman L.J., 1980, Analysis and Performance of Fibre Composites, John Wiley and Sons, New York
• 3. Agarwal B.D., Lifsitz J.M., Broutman L.J., 1974, Elastic plastic finite element analysis of short fibre composites, Fibre Science and Technology, 7, 45-62
• 4. Arsenault R.J., Taya M., 1987, Thermal residual stress in metal matrix composite, Acta Metallurgica , 35, 651-659
• 5. Cannilloa V., Pellacania G.C., Leonelli C., Boccaccini A.R., 2003, Numerical model ling of the fracture behaviour of a glass matrix composite reinforced with alumina platelets, Composites, Part A, 34, 43-51
• 6. Chang H.H., Tarn J.-Q., 2011, Three-dimensional elasticity solutions for rectangular orthotropic plates, Journal of Elasticity, 97, 131-154
• 7. Cox H.L., 1952, The elasticity and strength of paper and other fibrous mterials, British Journal of Applied Physics,3, 72-79
• 8. Eshelby J.D., 1957, The determination of the elastic field of an ellipsoidal inclusion and related problems, Proceedings of the Royal Society, A 241, 376-396
• 9. Glavinchevski B., Piggott M., 1973, Steel disc reinforced polycarbonate, Journal of Materials Science, 8, 1373-1382
• 10. Jiang G., Peters K., 2008, A shear-lag model for three-dimensional, unidirectional multilayered structures, International Journal of Solids and Structures, 45, 4049-4067
• 11. Hsueh C.H., 1994, A two-dimentional stress transfer model for platelet reinfocement, Composites Part B: Engineering, 4, 10, 1033-1043
• 12. Hsueh C.H., 2000, Young’s modulus of unidirectional discontinuous-fibre composites, Composites Science and Technology, 60, 2671-2680
• 13. Hsueh C.H., Fuller E.R., Langer S.A., Carter W.C., 1999, Analytical and numerical analyses for two-dimensional stress transfer, Materials Science and Engineering, A268, 1-7
• 14. Haque A., Ramasetty A., 2005, Theoretical study of stress transfer in carbon nanotube reinforced polymer matrix composites, Composite Structures, 71, 68-77
• 15. Jiang Z., Lian J., Yang D., Dong S., 1998, An analytical study of the influence of thermal residual stresses on the elastic and yield behaviors of short fibre-reinforced metal matrix composites, Materials Science and Engineering, A248, 256-275
• 16. Jiang Z., Liu X., Li G., Lian J., 2004, A new analytical model for three-dimensional elastic stress field distribution in short fibre composite, Materials Science and Engineering, A366, 381-396
• 17. Kim H.G., Noh H.G., 2004, Effects of elastic modulus ratio on internal stresses in short fibre composites, Journal of the Korean Society of Machine Tool Engineers, 13, 4, 73-78
• 18. Kim H.G., Kwac L.K., 2009, Evaluation of elastic modulus for unidirectionally aligned short fibre composites, Journal of Mechanical Science and Technology, 23, 54-63
• 19. Kim H.G., 1998, Analytical study on the elastic-plastic transition in short fibre reinforced composites, KSME International Journal, 12, 2, 257-266
• 20. Kim H.G., 2007, Investigation of stress field evaluated by elastic-plastic analysis in discontinuous composites, International Journal of Automobile Technology, 8, 4, 483-491
• 21. Kim H.G., 2008, Effects of fibre aspect ratio evaluated by elastic analysis in discontinuous composites, Journal of Mechanical Science and Technology, 22, 411-419
• 22. Kotha S.P., Kotha S., Guzelsu N., 2000, A shear-lag model to account for interaction effects between inclusions in composites reinforced with rectangular platelets, Composites Science and Technology, 60, 2147-2158
• 23. Lee J.K., 2008, A study on validity of using average fibre aspect ratio for mechanical properties of aligned short fibre composites with different fibre aspect ratios, Archive of Applied Mechanics, 78, 1-9
• 24. Liu G., Ji B., Hwang K.C., Khoo B.C., 2011, Analytical solutions of the displacement and stress fields of the nanocomposite structure of biological materials, Composites Science and Technology, 71, 1190-1195
• 25. Lusis J., Woodhams R.T., Xanthos M., 1973, The effect of flake aspect ratio on the flexural properties of mica reinforced plastics, Polymer Engineering and Science, 13, 2, 139-145
• 26. Lusti H.R., Hine P.J., Gusev A.A., 2002, Direct numerical predictions for the elastic and thermoelastic properties of short fibre composites, Composites Science and Technology, 62, 1927-1934
• 27. Nairn J.A., 2007, Numerical implementation of imperfect interfaces, Computational Materials Science, 40, 525-536
• 28. Narin J.A., Mendels D.A., 2001, On the use of planar shear-lag methods for stress-transfer analysis of multilayered composites, Mechanics of Matrials, 33, 335-362
• 29. Narin J.A., 1997, On the use of shear-lag methods for analysis of stress transfer in unidirectional composites, Mechanics of Matrials, 26, 63-80
• 30. Narin J.A., 2004, Generalized shear-lag analysis including imperfect interfaces, Adv. Comp. Letts., 13, 263-274
• 31. Padawer G.E., Beecher N., 1970, On the strength and stifness of planar reinforced plastic resins, Polymer Engineering and Science, 10, 3, 185-192
• 32. Piggott M.R., 1980, In: Load Bearing Fiber Composites, Pergamon Press, Elmsford, NY, 141
• 33. Salekin S., Haque A., Huq N., Copes J.S., Mahfuz H., Jeelani S., 1992, Effect of reinforcement geometry on the mechanical properties of SiC/Al2O3 composites, Composites, 2, 4, 242-259
• 34. Tanaka T., Wakashima K., Mori T., 1973, Plastic deformation anisotropy and work-hardening of composite materials, Journal of the Mechanics and Physics of Solids, 21, 207-214
• 35. Taya M., Arsenault R.J., 1989, Metal Matrix Composites Thermomechanical Behavior, Pergamon Press, USA
• 36. Timoshenko S., Goodier J.N., 1951, Theory of Elasticity, New York, Toronto, London,McGraw-Hill Book Comp.
• 37. Tyson W.R., Davies G.J., 1965, A photoelastic study of the shear stresses associated with the transfer of stress during fibre reinforcement, British Journal of Applied Physics,16,199
• 38. Withers P.J., Stobss W.M., Pedersen O.B., 1989, The application of the Eshelby metod of internal stress determination to short fibre metal matrix composites, Acta Metallurgica, 37, 3061-3084
• 39. Wu W., Desaeger M., Verpoest I., Varna J., 1997, An improved analysis of the stresses in a single-fibre fragmentation test: I. Two-phase model, Composites Science and Technology, 57, 809-819
• 40. Wu W., Verpoest I., Varna J., 1998, An improved analysis of the stresses in a single-fibre fragmentation test: II. 3-phase model, Composites Science and Technology, 58, 41-50