Asymptotic stress field at the tip of an inclined crack terminating to an interface

This paper presents the numerical results for the asymptotic stress field and the fracture parameters at the tip of an inclined cracks terminating to a bi-material ceramic interface. The numerical analysis was carried out using FRANC2D/L fracture analysis code. A biaxial specimen was modeled for producing different mixed mode loads and two materials combinations of Al₂O₃ and ZrO₂were considered. The influence of the material combination and applied mixed mode load on the singularity orders, stress distributions and stress intensity factors is highlighted.

Keywords:

crack, bi-material interface, asymptotic stress field, stress intensity factor

References

Kaya C., Butler E.G., Lewis M.H., Co-extrusion of Al2O3/ZrO2 bi-phase high temperature ceramics with fine scale aligned microstructures, Journal of the European Ceramic Society 23, (2003), pp. 935-942.

Tilbrook M. T., Rozenburg K., Steffler E. D., Rutgers L, Hoffman M., Crack propagation paths in layered, graded composites, Composites: Part B 37, (2006), pp. 490-498.

Zak A.R., Williams M.L., Crack point stress singularities at a bi-material interface, J. Appl. Mech, Volume: 30, (1963), pp. 142-143.

Cook T.S., Erdogan F., Stress in bonded materials with a crack perpendicular to the interface, Int. J. Eng. Sci., Volume: 10, (1972), pp. 677-697.

Erdogan F., Biricikoglu V., Two bonded half planes with a crack going through the interface, Int. J. Engng. Sci., Volume: 11, (1973), pp. 745-766.

Bogy D.B., On the plane elastic problem of a loaded crack terminating a material interface, J. Int. Fract., Volume: 38, (1971), pp. 911-918.

Wang W.C., Chen J.T., Theoretical and experimental re-examination of a crack at a biomaterial interface, J. Strain Anal., Volume: 28, (1993), pp. 53-61.

Lin K.Y., Mar J.W., Finite element analysis of stress intensity factors for crack at a biomaterial interface, Int. J. Fract., Volume: 12, (1976), pp. 451-531.

Ahmad J., A micromechanics analysis of cracks in unidirectional fibre composite, J. Appl. Mech., Volume: 58, (1991), pp. 964-972.

Tan M., Meguid S.A., Dynamic analysis of cracks perpendicular to bimaterial interfaces using new singular finite element, Finite Elements in Analysis and Design, 22, (1996), pp. 69-83.

Chen D.H., A crack normal to and terminating at a bimaterial interface, Engng. Fract. Mech., Volume: 19, (1994), pp. 517-532.

Chen S.H., Wang T.C., Kao – Walter S., A crack perpendicular to the bi-material interface in finite solid, Int. J. Solids Struct, 40, (2003), pp. 2731-2755.

He M.Y., Hutchinson J.W., Crack deflection at an interface between dissimilar elastic materials, Int. J. Solids Struct., Volume: 25, (1993), pp. 1053-1067.

Chang J., Xu J.-Q., The singular stress field and stress intensity factors of a crack terminating at a bimaterial interface, Int. J. Mechanical Sciences, 49, (2007), pp. 888-897.

Lin Y.Y., Sung J.C., Singularities of an inclined crack terminating at an anisotropic biomaterial interface, Int. J. Solids Struct, 38, (1997), pp. 3727-3754.

Wang T.C., Stahle P., Stress state in front of a crack perpendicular to bi-material interface, Engng. Fract. Mech., Volume: 4, (1998), pp. 471-485.

Liu L., Kardomateas G. A., Holmes J. W., Mixed – mode stress intensity factors for a crack in an anisotropic bi-material strip, Int. J. Solids Struct., 41, (2004), pp. 3095-3017.

Kaddouri K., Belhouari M., Bachir Bouiadjra B., Serier B., Finite element analysis of crack perpendicular to bi-material interface: Case of couple ceramic-metal, Comput. Mater. Sci., 35, (2006), pp. 53-60.

Madani K., Belhouari M., Bachir Bouiadjra B., Serier B., Benguediab M., Crack deflection at an interface of alumina/metal joint: A numerical analysis, Comput. Mater. Sci., 35, (2007), pp. 625-630.

Marsavina L., Sadowski T., Fracture parameters at bi-material ceramic interfaces under bi-axial state of stress, Proceedings of IWCMM 17, Paris, 2007, p. 45-46.

He M.Y., Hsueh C.H., Becher P.F., Deflection versus penetration of a wedge-load crack: effects of branch-crack length and penetrated-layer width, Composites: Part B, 31, (2000), pp.299-308.

Marsavina L., Sadowski T., Effect of biaxial load on crack deflection/penetration at bi-material ceramic interface, Int. J. Fracture (2008), OnLine First, DOI: 10.1007/s10704-008-9181-y. DOI: https://doi.org/10.1007/s10704-008-9181-y

Dundurs J., Effect of elastic constants on stress in a composite under plane deformation, J. Compos. Mater., Volume: 1, (1969), pp. 310-322.

Zang Z., Suo Z., Split singularities and the competition between crack penetration and debond at a bimaterial interface, Int. J. Solids Struct., 44, (2007), p. 4559-4573.

Bold P. E, Brown M. W., Allen R.J., Shear Mode crack growth and rolling contact fatigue, Wear, 144, (1991), pp. 307-317.

Iesulauro, E., FRANC2D/L a Crack Propagation simulator for plane layered materials, Cornell University, Ithaca, 2002.

Marsavina L., Sadowski T., The influence of the interface on fracture parameters, Proceedings of the AIQ – ICF Conference, Alger 2008 (in press). DOI: https://doi.org/10.1007/978-90-481-2669-9_26

Murakami Y., Stress intensity factors handbook, Vol. I, Pergamon Press, Oxford, 1987.

Downloads

Marsavina, L. . and Sadowski, T. . (2008) “Asymptotic stress field at the tip of an inclined crack terminating to an interface”, Budownictwo i Architektura, 2(1), pp. 111–124. doi: 10.35784/bud-arch.2316.

Article Sidebar

Main Article Content

DOI

Authors

Abstract

Keywords:

References

Downloads

Article Details

License