A radial tire is a very complex structure made from rubber elastomers and fiber rubber composite materials. During its use, a delamination crack growth between belts can occur, which obviously affects its durability and life. In the present paper, a new numerical model of the delamination crack growth in complex structures is presented. The model can reveal the crack growth dependence on the relative size of energy release rates at the left and right crack tips and the interfacial material property. The crack growth model, the Irwin’s virtual crack close technique and finite element analysis method are together used in simulating numerically the growth process of the delamination crack between belts of a radial tire. The numerical results show that the crack growth model proposed in the present paper can more really characterize the complexity of the delamination crack growth process in complex composite structures.
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References
1.
1. Feng, X.J. (2000). Prediction of Tire Fatigue Lift, M.D Thesis, Harbin Institute of Technology, 10–43.
2.
2. Ebott, T.G. (1996). An Application of Finite Element-Based Fracture Mechanics Analysis to Cord-Rubber Structures , Tire Science and Technology, 24(3): 220–235 .
3.
3. Yan, X., Wang, S., Wu, D., et al. (2000). Application of Finite Element Analysis Techniques to the Optimum of Tire Structures , Tire Industry, 20(5): 270–275 .
4.
4. Liebowitz, H. and Moyer, E.T. (1989). Finite Element Methods in Fracture Mechanics , Computers & Structures, 31(1): 1–9 .
5.
5. Murthy, P.L.N. and Chamis, C.C. (1988). Composite Interlaminar Fracture Toughness: Three-Dimensional Finite Element Modeling for Mixed Mode I, II, and Fracture, ASTM STP 972, JD. Whitcomb. Ed., 23–40.
6.
6. Popper, P., Miller, C. and Filkin, D. (1986). A Simple Model for Cornening and Belt-Edge Separation in Radial Tires , Tire Science and Technology, 14(1): 3–32 .
7.
7. Rybicki, E.F. (1977). A Finite Element Calculation of Stress Intensity Factors by a Modified Crack Closure Integral , Engineering Fracture Mechanics, 9: 931–938 .
8.
8. Rybicki, E.F. (1977). An Energy Release Rate Approach for Stable Crack Growth in The Free Edge Delamination Problem , Journal of Composite Materials, 10(11): 470–487 .
9.
9. Shirakwnar, K.N. (1988). A Virtual Crack Close Technique for Calculating Stress Intensity Factors for Cracked Three Dimensional Bodies , International Journal of Fracture, 36: 43–50 .
10.
10. Whitcomb, J.D. (1989). Predicted and Observed Effects of Stacking Sequence and Delamination Size on Instability Related Delamination Growth , Journal of Composites Technology & Research, 11(3): 94–98 .
11.
11. Whitcomb, J.D. (1989). Three-Dimensional Finite Element Analysis of a Post Buckled Embedded Delamination , Journal of Composite Materials, 23(9): 863–889 .
12.
12. Yan, X. (1989). Study for Fracture Mechanics of Composite Materials and Nonhomogeneous Materials, Ph.D. Thesis, Harbin Institute of Technology, 30–45.
13.
13. Wei, Y. (1997). Thermal-Mechanical Analysis of a Tire and Endurance Evaluation of Pneumatic Tires, Ph.D. Thesis, Harbin Institute of Technology, 88–93.
14.
14. Tseng, N.T., Pelle, R.G. and Chang, J.P. (1989). Finite Element Simulation of Tire-Rim Interface , Tire Science and Technology, 17(4): 305–325 .
15.
15. Wu, B. (1992). Nonlinear Three-Dimensional Finite Element Formulation of Radial Tires, Ph.D. Thesis, Harbin Institute of Technology.
16.
16. Rother, H., Idelberger, H. and Jacobi, W. (1984). On the Finite Element Solution of the Three Dimensional Tire Contact Problem , Nucl. Engng. Des., 78: 363–375 .
17.
17. Sarkar, K., Kwom, Y.D. and Prevosek, D.C. (1987). A New Approach for the Thermo-Mechanical Analysis of Tires by the Finite Element Method , Tire Science and Technology, 15: 261–275 .
18.
18. Pottinger, M.G. (1992). The Three-Dimensional Contact Patch Stress Field of Solid and Pneumatic Tires , Tire Science and Technology, 20(1): 3–21 .
19.
19. Yan, X., Wu, D., Wang, S. et al. (2000). Tire Finite Element Analysis With Tire-Foundation Contact , Tire Industry, 20(9): 527–533 .
20.
20. Yan, X., Du, S. and Wang, D. (1991). On Numerical Techniques of Stable Crack Growth , Engineering Fracture Mechanics, 39: 1097 .
21.
21. Yan, X., Du, S. and Wang, D. (1990). An Effective Method and Its Application in Assembling the Structural Stiffness Matrix in Material-Nonlinear Finite Element Analysis , Computers & Structure, 36: 1135 .
22.
22. Yan, X., Du, S. and Wang, D. (1991). Nonlinear Finite Element Analysis of Slow Crack Growth , IMACS 91 13th World Congress on Computation and Applied Mathematics, July 22–26, Trinity College Dublin, Ireland, pp. 881–885 .
23.
23. Yan, X. and Lei, W. (1994). Fatigue Growth Analysis of An Inclined Crack Under Cyclic Loading in the Materials with Different Yield Strengths in Tension and Compression , ASME J. Eng. Mater. And Technol., 16(2): 181–186 .
24.
24. Yan, X., Du, S. and Zhang, Z. (1992). Mixed-mode Fatigue Crack Growth Prediction in Biaxially Stretched Sheets, 43(3): 471–475 .
25.
25. Yan, X., Zhang, Z. and Du, S. (1992). Mixed-mode Fracture Criteria for the Materials with Different Yield Strengths in Tension and Compression , Eng. Frac. Mech., 42(1): 109–116 .
26.
26. Yan, X. (2001). Application of the FEA of Tire Structures to the Screening of Body Turn up Heights of Radial Truck Tires , Acta Materiae Composite Sinica, 21(3): 133–139 .
27.
27. Yan, X. (2001). Finite Element Analysis Model of a Steady Rolling Tire , Acta Materiae Composite Sinica, 21(4): 108–114 .
28.
28. Yan, X. (2001). The FEA for Tire Structure and Its Application in the Screening of Tire Structures , Solid Mechanics Sinica, (2): 150–164 .
29.
29. Yan, X. (2001). Nonlinear Finite Element Modeling of Radial Tires , Mathematics and Computers in Simulation, 58: 51–70 .
30.
30. Eskinazi, J.D., Ishihare, K., Volk, H. and Warholic, T.C. (1990). Towards Predicting Relative Belt Edge Endurance with the Finite Element Method , Tire Science and Technology, 18(4): 216–235 .
31.
31. Yan, X. (1993). A Very Effective Special Element Located at Crack Tip , J. Harbin Institute of Technology, 25(1): 16–20 .
32.
32. Yan, X.Wang, Y. and Feng, X. (2002). Study for the Endurance of Radial Truck Tires with Finite Element Modeling , Mathematics and Computers in Simulation, 59(6): 471–488 .
