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Fracture Analysis on a Cylindrical Composite Containing a Sliding Interface: An Interesting Phenomenon of Oscillatory Interfacial Normal Stress and its Implications

  • H. X. Wei (a1), T. Xiong (a2), Y. D. Li (a1) (a2) and Y. Guan (a1)


Fracture analysis is performed on a cylindrical composite consisting of an outer elastic layer, an inner rigid cylinder and an intermediate sliding interface. Interaction between the sliding interface and a parallel crack under in-plane shear is explored. An interesting phenomenon of oscillatory normal stress occurs on the local interfacial region near to the crack. It leads to local sliding-prevention and promotion effects, which constitute the mechanisms for the variations of stress intensity factors versus interfacial parameters. In addition, another interesting conclusion is that a crack near and parallel to a sliding interface never has the conventional anti-symmetry, even under pure in-plane shear loading.


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1. Benveniste, Y., The effective mechanical behaviour of composite materials with imperfect contact between the constituents,” Mechanics of Materials, 4, pp. 197208 (1985).
2. Benveniste, Y. and Miloh, T., The effective conductivity of composites with imperfect thermal contact at constituent interfaces,” International Journal of Engineering Science, 24, pp. 15371552 (1986).
3. Hashin, Z., Thermoelastic properties of fiber composites with imperfect interface,” Mechanics of Materials, 8, pp. 333348 (1990).
4. Hashin, Z., The spherical inclusion with imperfect interface,” Journal of Applied Mechanics, 58, pp. 444449 (1991).
5. Benveniste, Y. and Miloh, T., Imperfect soft and stiff interfaces in two-dimensional elasticity,” Mechanics of Materials, 33, pp. 309323 (2001).
6. Librescu, L. and Schmidt, R., A general linear theory of laminated composite shells featuring interlaminar bonding imperfections,” International Journal of Solids and Structures, 38, pp. 33553375 (2001).
7. Hashin, Z., Thin interphase/imperfect interface in elasticity with application to coated fiber composites,” Journal of the Mechanics and Physics of Solids, 50, pp. 25092537 (2002).
8. Sudak, L. J., On the interaction between a dislocation and a circular inhomogeneity with imperfect interface in antiplane shear,” Mechanics Research Communications, 30, pp. 5359 (2003).
9. Fan, H. and Wang, G. F., Screw dislocation interacting with imperfect interface,” Mechanics of Materials, 35, pp. 943953 (2003).
10. Cai, J. B., Chen, W. Q. and Ye, G. R., Effect of interlaminar bonding imperfections on the behavior of angle-ply laminated cylindrical panels,” Composite Science and Technology, 64, pp. 17531762 (2004).
11. Wang, X., Zhang, J. Q. and Guo, X. M., Two circular inclusions with inhomogeneously imperfect interfaces in plane elasticity,” International Journal of Solids and Structures, 42, pp. 26012623 (2005).
12. Mishuris, G. S., Movchan, N. V. and Movchan, A. B., Steady-state motion of a mode-III crack on imperfect interfaces,” Quarterly Journal of Mechanics and Applied Mathematics, 59, pp. 487516 (2006).
13. Wang, X., Pan, E. and Roy, A. K., New phenomena concerning a screw dislocation interacting with two imperfect interfaces,” Journal of the Mechanics and Physics of Solids, 55, pp. 27172734 (2007).
14. Chen, T. Y. and Chan, I. T., Rigorous bounds on the torsional rigidity of composite shafts with imperfect interfaces,” Journal of Elasticity, 92, pp. 91108 (2008).
15. Zhong, X. C., Li, X. F. and Lee, K. Y., Analysis of a mode-I crack perpendicular to an imperfect interface,” International Journal of Solids and Structures, 46, pp. 14561463 (2009).
16. Kepceler, T., Torsional wave dispersion relations in a pre-stressed bi-material compounded cylinder with an imperfect interface,” Applied Mathematical Modelling, 34, pp. 40584073 (2010).
17. Yanase, K. and Ju, J. W., Effective elastic moduli of spherical particle reinforced composites containing imperfect interfaces,” International Journal of Damage Mechanics, 21, pp. 97127 (2012).
18. Shams, A., Aureli, M. and Porfiri, M., Nonlinear buckling of a spherical shell embedded in an elastic medium with imperfect interface,” International Journal of Solids and Structures, 50, pp. 23102327 (2013).
19. Kushch, V. I. and Chernobai, V. S., Transverse conductivity and longitudinal shear of elliptic fiber composite with imperfect interface,” International Journal of Solids and Structures, 51, pp. 25292538 (2014).
20. Massabo, R. and Campi, F., Assessment and correction of theories for multilayered plates with imperfect interfaces,” Meccanica, 50, pp. 10451071 (2015).
21. Kamali, M. T., Shodja, H. M. and Forouzan, B., Three-dimensional free vibration of arbitrarily shaped laminated micro-plates with sliding interfaces within couple stress theory,” Journal of Sound and Vibration, 339, pp. 176195 (2015).
22. Li, F. L., Wang, Y. S., Zhang, C. Z. and Yu, G. L., Bandgaps of two-dimensional phononic crystals with sliding interface conditions,” Journal of Applied Mechanics, 81, 064501 (2014).
23. Ting, T. C. T., A new secular equation for slip waves along the interface of two dissimilar anisotropic elastic half-spaces in sliding contact,” Wave Motion, 50, pp. 12621270 (2013).
24. Wang, S. K. and Woodhouse, J., The frequency response of dynamic friction: A new view of sliding interfaces,” Journal of the Mechanics and Physics of Solids, 59, pp. 10201036 (2011).
25. Chupin, O., Chabot, A., Piau, J. M. and Duhamel, D., Influence of sliding interfaces on the response of a layered viscoelastic medium under a moving load,” International Journal of Solids and Structures, 47, pp. 34353446 (2010).
26. Putelat, T., Dawes, J. H. P. and Willis, J. R., Sliding modes of two interacting frictional interfaces,” Journal of the Mechanics and Physics of Solids, 55, pp. 20732105 (2007).
27. Li, Y. D., Zhang, N. and Lee, K. Y., Fracture analysis on the arc-shaped interfacial crack between a homogeneous cylinder and its coating,” European Journal of Mechanics A/Solids, 29, pp. 794800 (2010).
28. Xiong, T., Li, Y. D. and Zhang, H. C., Interaction laws and mechanisms of the multiple unequal cracks on the two coaxial interfaces in a tri-layered multiferroic semi-cylinder,” Engineering Fracture Mechanics, 116, pp. 213227 (2014).
29. Li, Y. D. and Lee, K. Y., Effects of magneto-electric loadings and piezomagnetic/piezoelectric stiffening on multiferroic interface fracture,” Engineering Fracture Mechanics, 77, pp. 856866 (2010).



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