Thermal Residual Stresses in Aluminum Metal-Matrix Antisymmetric Laminated Plates Under Uniform Temperature Distribution

Abstract

Thermal stresses are of great importance in composite structures. In this investigation, a thermal elastic-plastic stress analysis is carried out in (0°/90°)₂, (30°/−30°)₂, (45°/−45°)₂, (60°/−60°)₂, (15°/−15°)₂, (15°/30°)₂, (15°/45°)₂, (15°/60°)₂ antisymmetric aluminum metal-matrix laminated plates. Temperature is chosen to be constant along the cross sections of the plates. The residual stress components of σ_x, σ_y and τ_xy are illustrated in the layers of the laminated plates for different thermal loading. Elastic-plastic and residual stress components are given in tables. When the absolute value between the orientation angles of the layers is increased, the magnitude of the residual stress components becomes high. The strength of the laminated plates can be increased by using residual stresses. Tsai-Hill criterion is used as a yield criterion. Differential equations are solved numerically with a sufficiently large number of integration intervals of the temperature. The composite material is assumed to be linearly strain hardening.

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References

1. Noda, N., Hetnarski, R.B. and Tanigava, Y. (2000). Thermal Stresses. NY, USA: Lastran Corporation Rochester .

2. Orçan, Y. and Gamer, U. (1991). Elastic-plastic deformation of a centrally heated cylinder . Acta Mechanica, 90: 61-80 .

3. Orçan, Y. (1994). Thermal stresses in a heat generating elastic-plastic cylinder with free ends . Int. J. Engng. Sci., 32(6): 883-898 .

4. Avila, A.F. and Tamma, K.K. (1988). Integrated micro/macro thermo-elastic/viscoplastic analysis of laminate metal-matrix composites . Journal of Thermal Stresses, 21: 897-917 .

5. Feldman, E. and Belostotsky, I. (1997). On the response of MMC laminated plates to non-uniform temperature loading: the effect of temperature-dependent material properties . Composites and Structures, 38: 83-89 .

6. Igic, P.M. and Mawby, P.A. (1999). An advanced finite element strategy for thermal stress field investigation in aluminum inferconnectons during processing of very large scale integration multilevel structures . Microelectronics Journal, 30: 2107-1212 .

7. Trende, A., Aström, B.T. and Nilsson, G. (2000). Modelling of residual stresses in compression moulded glass-mat reinforced thermoplastics . Composites: Part A, 31: 1241-1254 .

8. Jeronimidis, G. and Parkyn, A.T. (1998). Residual stress in carbon fibre thermoplastic matrix laminates . Journal of Composite Materials, 22-5: 401-415 .

9. Rolfes, R., Noor, A.K. and Sparr, H. (1998). Evaluation of transverse thermal stresses in composite plates based on first-order shear deformation theory . Computer Methods in Applied Mechanics and Engineering, 167: 355-368 .

10.

10. Meijer, G., Ellyin, F. and Xia, Z. (2000). Aspects of residual thermal stress-strain in partical reinforced metal matrix composites . Composites: Part B, 31: 29-37 .

11.

11. Kim, T., Steadman, D., Hanagud, S. V. and Atluri, S.N. (1997). On the feasibility of using thermal gradients for active control of interlaminar stresses in laminated composites . Journal of Composite Materials, 31(16): 1556-1573 .

12.

12. Unger, W.J. and Hansen, J.S. (1998). A method to predict the effect of the thermal residual stresses on the free-edge delamination behavior of fibre reinforced composite laminates . Journal of Composite Materials, 32(5): 431-459 .

13.

13. Bektaş, N.B. and Sayman, O. (2001). Elasto-plastic stress analysis in simply supported thermoplastic laminated plates under thermal loads . Composites Science and Technology, 61: 1695-1701 .

14.

14. Karakuzu, R. and Sayman, O. (1993). Elasto-plastic finite element analysis of orthotropic rotating discs with holes . Computers and Structures, 51: 695-703 .

15.

15. Karakuzu, R., Özel, A. and Sayman, O. (1997). Elastic-plastic finite element analysis of metal matrix plates with edge notches . Computers and Structures, 63: 551-558 .

16.

16. Karakuzu, R. and Özcan, R. (1996). Exact solution of elasto-plastic stresses in a metal-matrix composite beam of arbitrary orientation subjected to transverse loads . Composites Science and Technology, 56: 1383-1389 .

17.

17. Sayman, O. (1998). Elasto-plastic stress analysis in stainless steel fiber reinforced aluminum metal matrix laminated plates loaded transversely . Composite Structures, 43: 147-154 .

18.

18. Sayman, O., Akbulut, H. and Meriç, C. (2000). Elasto-plastic stress analysis of aluminum metal-matrix composite laminated plates under in-plane loading . Computers and Structures, 75: 55-63 .

19.

19. Sayman, O., Özbay, M. and Akbulut, H. (2001). Elastic-plastic stress analysis of metal matrix laminated plates under in-plane and transverse loading . Journal of Reinforced Plastics and Composites, 20: 417-430 .

20.

20. Sayman, O. (2001). An elastic-plastic stress analysis of metal-matrix composite beam loaded transversely . Journal of Reinforced Plastics and Composites, 20: 639-651 .

21.

21. Sayman, O. and Aykul, H. (2001). Elasto-plastic stress analysis of aluminum metal matrix laminated plates with a circular hole under transverse loading . Journal of Reinforced Plastic and Composites, 20: 1205-1221 .

22.

22. Sayman, O. and Özer, M.R. (2001). Elastic-plastic thermal stress analysis of aluminum-matrix composite beams under a parabolically temperature distribution . Composites Science and Technology, 61: 2129-2137 .

23.

23. Jones, R.M. (1999). Mechanics of Composites Materials. Taylor and Francis .

24.

24. Owen, D.R.J. and Hinton, E. (1980). Finite Elements in Plasticity. Pineridge Press Limited .