A Theoretical Analysis of the Fracture Behavior of a Multi-Layered Thin Film Structure under Residual Tensile Stress

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Abstract:

In this work, the fracture behavior of a multi-layered thin film structure under residual tensile stress is investigated theoretically. Using composite material theory and a modified shear-lag model, the analytical solutions for the distribution laws of the tensile stress developed in the first-layer thin film and the shear stress developed along the interface can be obtained. In addition, the crack density of the first-layer thin film can be derived from the residual stress and the mechanical and geometric parameters of the cracked system. This result also yields a measurement of the residual stress from the crack density and the mechanical and geometric parameters of the system. Finally, a numerical example is presented to show how the crack density varies versus the residual stress.

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Advanced Materials Research (Volumes 239-242)

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2179-2182

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May 2011

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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[1] J.W. Lee, G.T. Park, C.S. Park and H.E. Kim: Appl. Phys. Lett. Vol. 88(2006), p.072908.

Google Scholar

[2] A.G. Evans and J.W. Hutchinson: Acta Metall. Mater. Vol. 43(1995), p.2507.

Google Scholar

[3] L.B. Freund and S. Suresh: Coating Materials: Stress, Defect Formation and Surface Evolution(Cambridge University Press, Cambridge, UK 2003).

Google Scholar

[4] M. Benegra, D.G. Lamas, M.E. Fernández de Rapp, N. Mingolo, A.O. Kunrath and R.M. Souza: Thin Solid Films Vol. 494(2006), p.146.

DOI: 10.1016/j.tsf.2005.08.214

Google Scholar

[5] J.H. Huang, C.H. Ma and H. Chen: Surf. Coat. Technol. Vol. 200(2006), p.5937.

Google Scholar

[6] F. Shang, T. Kitamura, H. Hirakata, I. Kanno, H. Kotera and K. Terada: Int. J. Solids Struct. Vol. 42(2005), p.1729.

Google Scholar

[7] B.Q. Yang, K. Zhang, G.N. Chen, G.X. Luo and J.H. Xiao: Surf. Eng. Vol. 24(2008), p.332.

Google Scholar