Surface Energy for Formation of Inclined and Interface Cracks Terminating at a Bimaterial Interface
Publication: Journal of Engineering Mechanics
Volume 143, Issue 9
Abstract
This paper proposes a damage parameter, , for evaluation of the surface energy associated with the formation of multiple cracks terminating at a bimaterial interface. The study considers two crack mechanisms, including an inclined crack terminating at the interface with an arbitrary angle and an interface crack lying along the material interface. Based on the concept of the -integral, the parameter is developed by conducting the integration along a closed contour enclosing all the cracks and with respect to a specific reference coordinate system. The formulation is shown to be path-independent, and therefore good accuracy of can be achieved even when elaborate near-tip local solutions are not ensured.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This work has been partially supported by National Science Council Grant No. NSC103-2221-E-008-030 to National Central University.
References
Abdi, R., and Valentin, G. (1989). “Isoparametric elements for a crack normal to the interface between two bonded layers.” Comp. Struct., 33(1), 241–248.
Chang, J., and Xu, J. Q. (2007). “The singular stress field and stress intensity factors of a crack terminating at a bimaterial interface.” Int. J. Mech. Sci., 49(7), 888–897.
Chang, J. H., and Chien, A. J. (2002). “Evaluation of M-Integral for anisotropic elastic media with multiple defects.” Int. J. Fract., 114(3), 267–289.
Chang, J. H., and Jeng, B. S. (2016). “- and -integrals for cracks normal to the interface of anisotropic biomaterials.” Int. J. Fract., 197(1), 49–61.
Chang, J. H., and Wu, D. J. (2003). “Calculation of mixed-mode stress intensity factors for a crack normal to a bimaterial Interface usingcontour integrals.” Eng. Fract. Mech., 70(13), 1675–1695.
Chang, J. H., and Yeh, J. B. (1997). “Energy flux associated with a plane crack along an (hyper)elastic bimaterial interface.” Int. J. Fract., 85(3), 211–229.
Chen, W. H., Chen, K. T., and Chiang, C. R. (1988). “On the applicability of integral for perpendicular interface crack.” Eng. Fract. Mech., 30(1), 13–19.
Chen, Y. H. (2001). “M-integral analysis for two-dimensional solids with strongly interacting microcracks. I: In an infinite brittle solid.” Int. J. Solids Struct., 38(18), 3193–3212.
Eischen, J. W., and Herrmann, G. (1987). “Energy release rates and related balance laws in linear elastic defect mechanics.” J. Appl. Mech., 54(2), 388–392.
Erdogan, F., and Biricikoglu, V. (1973). “Two bonded half planes with a crack going through the interface.” Int. J. Eng. Sci., 11(7), 745–766.
He, M. Y., and Hutchinson, J. W. (1989). “Crack deflection at an interface between dissimilar elastic materials.” Int. J. Solids Struct., 25(9), 1053–1067.
Jiang, Z. D., Petit, J., and Bezine, G. (1992). “An investigation of stress intensity factors for two unequal parallel cracks in a finite width plate.” Eng. Fract. Mech., 42(1), 129–138.
Kaddouri, K., Belhouari, M., Bachir, B., and Bouiadjra, B. (2006). “Finite element analysis of crack perpendicular to bi-material interface: Case of couple ceramic-metal.” Comp. Mater. Sci., 35(1), 53–60.
Kaya, C., Butler, E. G., and Lewis, M. H. (2003). “Co-extrusion of bi-phase high temperature ceramics with fine scale aligned microstructures.” J. Eur. Ceram. Soc., 23(6), 935–942.
Liu, L., Kardomateas, G. A., and Holmes, J. W. (2004). “Mixed–mode stress intensity factors for a crack in an anisotropic bi-material strip.” Int. J. Solids Struct., 41(11–12), 3095–3107.
Marsavina, L., and Sadowski, T. (2008). “Asymptotic stress field at the tip of an inclined crack terminating to an interface.” Budownictwo Architektura, 2(1), 111–124.
Poonsawat, P., Wijeyewickrema, A. C., and Karasudhi, P. (1998). “Stress singularity analysis of a crack terminating at the interface of an anisotropic layered composite.” J. Appl. Mech., 65(4), 829–836.
Profant, T., Sevecek, O., and Kotoul, M. (2008). “Calculation of K-factor and T-stress for cracks in anisotropic biomaterials.” Eng. Fract. Mech., 75(12), 3707–3726.
Rogowski, B. (2012). “Antiplane shear crack normal to and terminating at the interface of two bonded piezo-electro-magneto-elastic materials.” ISRN Mater. Sci., 2012, 1–19.
Surendran, M., Palani, G. S., and Nagesh, R. I. (2012). “Stress intensity factors for plates with collinear and non-aligned straight cracks.” Int. J. Civil Environ. Struct. Constr. Archit. Eng., 6(10), 890–899.
Tracey, D. M., and Cook, T. S. (1977). “Analysis of power type singularities using finite elements.” Int. J. Numer. Methods Eng., 11(8), 1225–1233.
Yavari, A., Sarkani, S., and Moyer, E. T. (1999). “On quadratic isoparametric transition elements or a crack normal to a bimaterial interface.” Int. J. Numer. Methods Eng., 46(3), 457–469.
Yu, N. Y., and Li, Q. (2013). “Failure theory via the concept of material configurational forces associated with the M-integral.” Int. J. Solids Struct., 50(25–26), 4320–4332.
Information & Authors
Information
Published In
Copyright
©2017 American Society of Civil Engineers.
History
Received: May 20, 2016
Accepted: Mar 16, 2017
Published online: Jun 15, 2017
Published in print: Sep 1, 2017
Discussion open until: Nov 15, 2017
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.