The Singularity of Stress near the Tip of a Crack Perpendicular to an Elastically Mismatched Bimaterial Interface

Abstract:

This Based on the elastic theory of a crack perpendicular to and terminating at bimaterial interface, a generalized expression of the stress intensity factor is provided for a crack in single material and a crack perpendicular to bimaterial interface, finite element methods are used to calculate the stress intensity factors. The influences of the material combination and crack length on the the stress intensity factors were investigated. Results show that when the crack terminates at bimaterial interface, singular order of K_Iis different from that of single material, and the values of K_I increase with increasing E₁/E₂ and μ₁/μ₂.

• Periodical: Applied Mechanics and Materials (Volume 574)
• Pages: 48-52
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.574.48
• Online since: July 2014
• Authors: Ming Song, Hao Yong Li, You Tang Li, Min Zheng
• Keywords: Bimaterial, Crack Perpendicular to Interface, Elastically Mismatched, Stress Intensity Factor (SIF)

References

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

DOI: 10.1115/1.3630064

[2] T. S. Cook, F. Erdogan, Stresses in bonded materials with a crack perpendicular to the interface, Int. J. Eng. Sci., 10(1972) 677-697.

DOI: 10.1016/0020-7225(72)90063-8

[3] W.C. Wang, J.T. Chen, Theoretical and experimental re-examination of a crack at a bimaterial interface, J. Strain Anal., 28(1993) 53–61.

[4] D. H. Chen, A crack normal to and terminating at a bimaterial interface, Engng. Fract. Mech., 49 (1994) 517-532.

[5] S. A. Meguid, M. Tan and Z. H. Zhu, Analysis of cracks perpendicular to bimaterial interfaces using a novel finite element, Int. J. Fract., 73 (1995) 1-23.

DOI: 10.1007/bf00039848

[6] W. K. Lim, C. S. Lee, Evaluation of stress intensity factor a crack normal to bimaterial interface using isoparametric finite elements, Engng. Fract. Mech., 52(1995) 65-70.

DOI: 10.1016/0013-7944(94)00327-e

[7] S. Lahiri, B. V. Sankar, P. A. Mataga, Evaluation of bimaterial stress intensity factors using a finite element –boundary element alternating method, Engng. Fract. Mech., 53(1996) 289-302.

DOI: 10.1016/0013-7944(94)00302-5

[8] K. Kaddouri, M. Belhouari, B. Bachir Bouiadjra, B. Serier, Finite element analysis of crack perpendicular to bi-material interface: Case of couple ceramic–metal[J], Computational Materials Science, 2006, 35: 53–60.

DOI: 10.1016/j.commatsci.2005.03.003

[9] 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.

DOI: 10.1016/j.ijmecsci.2006.11.009

[10] 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.

DOI: 10.1007/978-90-481-2792-4_6

[11] 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.

DOI: 10.4028/www.scientific.net/kem.417-418.489

[12] Chang-Rong Chen, Yiu-Wing Mai, Comparison of cohesive zone model and linear elastic fracture mechanics for a mode I crack near a compliant/stiff interface, Engng. Fract. Mech., 77(2010) 3408-3417.

DOI: 10.1016/j.engfracmech.2010.09.009

[13] Liviu Marsavina1, Tomasz Sadowski, Nicolae Faur. Numerical investigation of the stress field near a crack normal to ceramic–metal interface. Journal of Mechanical Science and Technology, 25(2011) 309-315.

DOI: 10.1007/s12206-010-1209-3