Abstract
This paper investigates edge delamination in an orthotropic layered structure composed of a thin film and a substrate under a temperature change. An edge interface crack is analyzed for two configurations in which it emerges from an interior or corner edge of the film. Special attention is paid to the effects of orthotropic material constants on delamination cracking. The necessary material parameters involved in the energy release rate and mode mixity for the interface crack are found based on a modified Stroh formalism. The explicit dependence of the energy release rate and mode mixity on one orthotropic parameter for the film is discovered using an orthotropy rescaling technique. The effects of other material parameters on the energy release rate and mode mixity are examined numerically, and the growth and arrest of edge interface cracks are discussed based on an energy criterion.
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References
Suo Z., Hutchison J.W.: Interface crack between two elastic layers. Int. J. Fract. 43, 1–18 (1990)
Akisanya A.R., Fleck N.A.: The edge cracking and decohesion of thin films. Int. J. Solids. Struct. 31, 3175–3199 (1994)
Yu H.H., He M.Y., Hutchinson J.W.: Edge effects in thin film delamination. Acta Mater. 49, 93–107 (2001)
Balint D.S., Hutchinson J.W.: Mode II edge delamination of compressed thin films. J. Appl. Mech. 68, 725–730 (2001)
Kitamura T., Shibutani T., Ueno T.: Crack initiation at free edge of interface between thin films in advanced LSI. Eng. Fract. Mech. 69, 1289–1299 (2002)
Marsavina L., Nurse A.D.: The asymptotic structure of small-scale yielding interfacial free-edge joint and crack-tip fields. Acta Mech. 190, 115–131 (2007)
Veluri B., Jensen H.M.: Steady-state propagation of interface corner crack. Int. J. Solids. Struct. 50, 1613–1620 (2013)
Matbuly M.S., Nassar M.: Elastostatic analysis of edge cracked orthotropic strips. Acta Mech. 165, 17–25 (2003)
Andrews M.G., Massabo R.: The effects of shear and near tip deformations on energy release rate and mode mixity of edge-cracked orthotropic layers. Eng. Fract. Mech. 74, 2700–2720 (2007)
Beom H.G., Cui C.B., Jang H.S.: Dependence of elastic constants on stress intensity factors for cracks in an orthotropic bimaterial with a thin film. Int. J. Solids. Struct. 49, 3461–3471 (2012)
Beom H.G., Cui C.B., Jang H.S.: Application of an orthotropy rescaling method to edge cracks and kinked cracks in orthotropic two-dimensional solids. Int. J. Eng. Sci. 51, 14–31 (2012)
Suo Z.: Singularities, interfaces and cracks in dissimilar anisotropic media. Proc. R. Soc. Lond. A 427, 331–358 (1990)
Beom H.G., Atluri S.N.: Dependence of stress on elastic constants in an anisotropic bimaterial under plane deformation; and the interfacial crack. Comput. Mech. 16, 106–113 (1995)
Wu K.-C.: Stress intensity factor and energy release rate for interfacial cracks between dissimilar anisotropic materials. J. Appl. Mech. 57, 882–886 (1990)
Beom H.G., Atluri S.N.: Asymptotic analysis of a subinterface crack in dissimilar orthotropic media. Eng. Fract. Mech. 52, 777–790 (1995)
Hutchinson J.W., Suo Z.: Mixed mode cracking in layered materials. Adv. Appl. Mech. 29, 63–191 (1992)
Beom H.G., Cui C.B., Jang H.S.: Asymptotic analysis of cracks in the adhesive layer of an orthotropic sandwich structure. Eur. J. Mech. A-Solids 37, 45–56 (2013)
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Lee, G.H., Cui, C.B. & Beom, H.G. Edge delamination in an orthotropic bimaterial consisting of a thin film and a substrate. Acta Mech 225, 2583–2594 (2014). https://doi.org/10.1007/s00707-013-1084-y
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DOI: https://doi.org/10.1007/s00707-013-1084-y