Abstract
Ceramic-metal interfaces are often present in composite materials. The presence of cracks has a major impact on the reliability of advanced materials, such as fiber or particle reinforced ceramic composites, ceramic interfaces and laminated ceramics. The understanding of the failure mechanisms is very important, as is as the estimation of fracture parameters at the tip of the crack approaching an interface and crack propagation path. A cracked sandwich plate loaded with axial uniform normal stress was numerically investigated using plane strain Finite Element Analysis. The numerical results for the singularity orders were compared with the analytical solution. The influences of the material combination and crack length on the radial and circumferential stresses and displacement distributions were investigated. The Stress Intensity Factors were determined based on numerical results using a displacement extrapolation method. The results for the non-dimensional stress intensity factors show that at lower crack lengths the influence of material mismatch is lower, but this influence increases with increasing crack length.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. R. Zak and M. L. Williams, Crack point stress singularities at a bi-material interface, J. Appl. Mech., 30 (1963) 142–143.
T. S. Cook and F. Erdogan, Stress in bonded materials with a crack perpendicular to the interface, Int. J. Eng. Sci., 10 (1972) 677–697.
F. Erdogan and V. Biricikoglu, Two bonded half planes with a crack going through the interface, Int. J. Engng. Sci., 11 (1973) 745–766.
D. B. Bogy, On the plane elastic problem of a loaded crack terminating a material interface, J. Int. Fract., 38 (1971) 911–918.
W. C. Wang and J. T. Chen, Theoretical and experimental re-examination of a crack at a bi-material interface, J. Strain Anal., 28 (1993) 53–61.
K. Y. Lin and J. W. Mar, Finite element analysis of stress intensity factors for crack at a bi-material interface, Int. J. Fract., 12 (1976) 451–531.
J. Ahmad, A micromechanics analysis of cracks in unidirectional fibre composite, J. Appl. Mech., 58 (1991) 964–972.
M. Tan and S. A. Meguid, Dynamic analysis of cracks perpendicular to bi-material interfaces using new singular finite element, Finite Elements in Analysis and Design, 22 (1996) 69–83.
D. H. Chen, A crack normal to and terminating at a bimaterial interface, Engng. Fract. Mech., 49 (1994) 517–532.
S. H. Chen, T. C. Wang, S. Kao-Walter, A crack perpendicular to the bi-material interface in finite solid, Int. J. Solids Struct., 40 (2003) 2731–2755.
M. Y. He and J. W. Hutchinson, Crack deflection at an interface between dissimilar elastic materials, Int. J. Solids Struct., 25 (1993) 1053–1067.
J. Chang and J.-Q. Xu, The singular stress field and stress intensity factors of a crack terminating at a bi-material interface, Int. J. Mechanical Sciences, 49 (2007) 888–897.
Y. Y. Lin and J. C. Sung, Singularities of an inclined crack terminating at an anisotropic biomaterial interface, Int. J. Solids Struct., 38 (1997) 3727–3754.
T. C. Wang and P. Stahle, Stress state in front of a crack perpendicular to bi-material interface, Engng. Fract. Mech., 4 (1998) 471–485.
L. Liu, G. A. Kardomateas and J. W. Holmes, Mixed — mode stress intensity factors for a crack in an anisotropic bimaterial strip, Int. J. Solids Struct., 41 (2004) 3095–3017.
L. Marsavina and T. Sadowski, Crack — Interface Interaction in Composite Materials, In. Security and Reliability of Damaged Structures and Defective Materials, G. Pluvinage and A. Sedmak eds. (2009) 139–155.
L. Marsavina, T. Sadowski and N. Faur, Asymptotic stress field for a crack normal to a ceramic — metal interface, Key Engng. Mater., 417–418 (2010) 489–492.
J. H. Chang and D. J. Wu, Calculation of mixed mode stress intensity factors for a crack normal to a bi-material interface using contour integrals, Engng. Fract. Mech., 70 (2001) 1675–1695.
J. Dundurs, Effect of elastic constants on stress in a composite under plane deformation, J. Compos. Mater., 1 (1969) 310–322.
ABAQUS CAE Manual, ABAQUS, Inc. (2006).
K. Yilan and L. Hua, Investigations of near — tip displacement fields of a crack normal to and terminating at a bimaterial interface under mixed-mode loading, Engng. Fract. Mech., 69 (2002) 2199–2208.
Y. Murakami, Stress intensity factors handbook, Vol. I, Pergamon Press, Oxford (1987) 511–512.
Author information
Authors and Affiliations
Corresponding author
Additional information
This paper was recommended for publication in revised form by Associate Editor Youngseog Lee
Liviu Marsavina received his MEng and PhD degrees in Mechanical Engineering from Politehnica University of Timisoara, Romania, in 1988 and 1998, respectively. He works as a postd-octoral researcher at Loughborough University, UK (2000), research asso-ciate at University of Sheffield, UK (2001–2002) and experienced researcher at Lublin University of Technology, Poland (2007–2008). Dr. Marsavina is currently a Professor at the Faculty of Mechanical Engineering, from Politehnica University of Timisoara, Romania. He serves as an editorial board member of International Journal of Structural Integrity. Dr. Marsavina’s research interests include mechanics of materials, fracture mechanics, and finite element analysis.
Rights and permissions
About this article
Cite this article
Marsavina, L., Sadowski, T. & Faur, N. Numerical investigation of the stress field near a crack normal to ceramic-metal interface. J Mech Sci Technol 25, 309–315 (2011). https://doi.org/10.1007/s12206-010-1209-3
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-010-1209-3