Asymptotic stress field at the tip of an inclined crack terminating to an interface
Liviu Marsavina
Department Strength of Materials; Politehnica University of Timisoara; Timisoara; Romania (Romania)
https://orcid.org/0000-0002-5924-0821
Tomasz Sadowski
Department of Solid Mechanics; Faculty of Civil Engineering and Architecture; University of Technology in Lublin (Poland)
http://orcid.org/0000-0001-9212-8340
Abstract
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 ZrO2 were 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 factorReferences
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.
Google Scholar
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.
Google Scholar
Zak A.R., Williams M.L., Crack point stress singularities at a bi-material interface, J. Appl. Mech, Volume: 30, (1963), pp. 142-143.
Google Scholar
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.
Google Scholar
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.
Google Scholar
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.
Google Scholar
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.
Google Scholar
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.
Google Scholar
Ahmad J., A micromechanics analysis of cracks in unidirectional fibre composite, J. Appl. Mech., Volume: 58, (1991), pp. 964-972.
Google Scholar
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.
Google Scholar
Chen D.H., A crack normal to and terminating at a bimaterial interface, Engng. Fract. Mech., Volume: 19, (1994), pp. 517-532.
Google Scholar
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.
Google Scholar
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.
Google Scholar
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.
Google Scholar
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.
Google Scholar
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.
Google Scholar
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.
Google Scholar
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.
Google Scholar
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.
Google Scholar
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.
Google Scholar
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.
Google Scholar
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
Google Scholar
Dundurs J., Effect of elastic constants on stress in a composite under plane deformation, J. Compos. Mater., Volume: 1, (1969), pp. 310-322.
Google Scholar
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.
Google Scholar
Bold P. E, Brown M. W., Allen R.J., Shear Mode crack growth and rolling contact fatigue, Wear, 144, (1991), pp. 307-317.
Google Scholar
Iesulauro, E., FRANC2D/L a Crack Propagation simulator for plane layered materials, Cornell University, Ithaca, 2002.
Google Scholar
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
Google Scholar
Murakami Y., Stress intensity factors handbook, Vol. I, Pergamon Press, Oxford, 1987.
Google Scholar
Authors
Liviu MarsavinaDepartment Strength of Materials; Politehnica University of Timisoara; Timisoara; Romania Romania
https://orcid.org/0000-0002-5924-0821
Authors
Tomasz SadowskiDepartment of Solid Mechanics; Faculty of Civil Engineering and Architecture; University of Technology in Lublin Poland
http://orcid.org/0000-0001-9212-8340
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