An Elastic-Plastic Stress Analysis in Silicon Carbide Fiber Reinforced Magnesium Metal Matrix Composite Beam Having Rectangular Cross Section Under Transverse Loading

  • Published : 2004.02.01

Abstract

In this work, an elastic-plastic stress analysis has been conducted for silicon carbide fiber reinforced magnesium metal matrix composite beam. The composite beam has a rectangular cross section. The beam is cantilevered and is loaded by a single force at its free end. In solution, the composite beam is assumed perfectly plastic to simplify the investigation. An analytical solution is presented for the elastic-plastic regions. In order to verify the analytic solution results were compared with the finite element method. An rectangular element with nine nodes has been choosen. Composite plate is meshed into 48 elements and 228 nodes with simply supported and in-plane loading condations. Predictions of the stress distributions of the beam using finite elements were overall in good agreement with analytic values. Stress distributions of the composite beam are calculated with respect to its fiber orientation. Orientation angles of the fiber are chosen as $0^{circ},\;30^{circ},\;45^{circ},\;60^{circ}\;and\;90^{circ}$. The plastic zone expands more at the upper side of the composite beam than at the lower side for $30^{circ},\;45^{circ}\;and\;60^{circ}$ orientation angles. Residual stress components of ${\sigma}_{x}\;and \;{\tau}_{xy}$ are also found in the section of the composite beam.

References

  1. Bahei-El-Din, Y. A. and Dvorak, G. J., 1982, 'Plasticity Analysis of Laminated Composite Plates,' Transactions of the ASME, Vol. 49, pp. 740-746 https://doi.org/10.1115/1.3162611
  2. Canumalla, S., Dynan, S.A. and Green, D. J., 1995, 'Mechanical Behaviour of Mullite Fiber Reinforced Aluminum Alloy Composites,' Journal of Composite Materials, Vol. 29, pp. 653-69 https://doi.org/10.1177/002199839502900506
  3. Chou, T. W., Kelly, A. and Okura, A., 1985, 'Fibre-Reinforced Metal-Matrix Composites,' Journal of Composite Materials, Vol. 16,pp. 187-206
  4. Jeronimidis, G. and Parkyn, A. T., 1998, 'Residual Stress in Carbon Fibre-Thermoplastic Matrix Laminates,' Journal of Composite Materials, Vol. 22, No. 5, pp. 401-415 https://doi.org/10.1177/002199838802200502
  5. Jones, R. M., 1975, Mechanics of Composite Materials. Kogakuska, Tokyo : McGraw-Hill
  6. Kang, C. G. and Kang, S. S., 1994, 'Effect of Extrusion on Fiber Orientation and Breakage of Aluminar Short Fiber Composites,' Journal of Composite Materials, Vol. 28, pp. 155-170 https://doi.org/10.1177/002199839402800204
  7. Karakuzu, R. and Sayman, O., 1994, 'Elasto-Plastic Finite Element Analysis of Orthotropic Rotating Discs with Holes,' Computers and Structures, Vol. 51, pp. 695-703 https://doi.org/10.1016/S0045-7949(05)80008-2
  8. Karakuzu, R., 1997, 'Exact Solution of Elasto-Plastic Stresses in a Metal-Matrix Composite Beam of Arbitrary Orientation Subjected to Transverse Loads,' Composite Science and Technology, Vol. 56, pp. 1383-1389 https://doi.org/10.1016/S0266-3538(96)00093-0
  9. Karakuzu, R., Ozel, A. and Sayman, O., 1997, 'Elasto-Plastic Finite Element Analysis of Metal Matrix Plates with Edge Notches,' Composite Structures, Vol. 63, pp. 551-558 https://doi.org/10.1016/S0045-7949(96)00355-0
  10. Lekhnitskii, S. G., 1968, Anisotropic Plates. Gordon and Breach Science Publishers
  11. Lekhnitskii, S. G., 1981, Theory of Elasticity of an Anisotropic Body. Moskow : Mir Publishers
  12. Sayman, O., 1998, Elasto-Plastic Stress Analysis in Stainless Steel Fiber Reinforced Aluminum Metal Matrix Laminated Plates Loaded Transversely,' Composite Structures, Vol. 43, pp. 147-154 https://doi.org/10.1016/S0263-8223(98)00105-6