Abstract
In this paper, the problem of a crack normal to an interface in two joined orthotropic plates is studied as a plane problem. Body force method is used to investigate dependence of the stress intensity factor on the elastic constants: E x1, E y1, G xy1, V xy1 for material 1 and E x2, E y2, G xy2, V xy2 for material 2. A particular attention is paid to simplifying kernel functions, which is used in the body force method, so that all the elastic constants involved can be represented by three new parameters: H 1, H 2I, H 3 for the mode I deformation and H 1, H 2II, H 3 for the mode II deformation. From the kernel function so obtained it is found that the effects of the eight elastic constants on the stress intensity factors can be expressed by the three material parameters, H 1, H 2I, H 3 and H 1, H 2II, H 3, respectively for K I and K II. Furthermore, it is also found that the dependence of K I on H 1, H 2I, H 3 is exactly the same as the dependence of K II on H 1, H 2II, H 3.
Similar content being viewed by others
References
Bogy, D.B. (1971). On the plane elastostatic problem of a loaded crack terminating at a material interface. Journal of Applied Mechanics 38, 911–918.
Chen, D.H. (1994). A crack normal to and terminating at a bimaterial interface. Engineering Fracture Mechanics 49, 517–532.
Chen, D.H., Nisitani, H. and Mura, T. (1994). Effect of elastic constants on stresses in multi-phases under plane deformation. Engineering Fracture Mechanics 48, 347–357.
Chen, D.H. and Harada, K. (1996). Stress singularities for crack normal to and terminating at bimaterial interface of orthotropic half-plates. International Journal of Fracture 81, 147–162.
Chen, D.H. (1996). Point force and edge dislocation in a two-phases anisotropic medium. Zeitschrift fur Angewandte Mathematik und Physik 47, 617–630.
Cook, T.S. and Erdogan, F. (1972). Stresses in bonded material with a crack perpendicular to the interface. International Journal of Engineering Science 10, 677–697.
Delale, F. and Erdogan, F. (1979). Bonded orthotropic strips with cracks. International Journal of Fracture 15-6, 343–364.
Gupta, G.D. (1973). A layered composite with a broken laminate. International Journal of Solids Structure 9, 1141–1154.
Gupta, V., Argon, A.S. and Suo, Z. (1992). Crack Deflection at an interface between two orthotropic media. Journal of Applied Mechanics 59, s79–s87.
Lekhnitskii, S.G. (1968). Anisotropic Plates Gordon and Breach.
Miller, G.R. (1989). Analysis of crack near interfaces between dissimilar anisotropic materials. International Journal of Engineering Science 27, 667–678.
Nisitani, H. and Chen, D.H. (1987). Body Force Method, (in Japanese), Baifukan, Tokyo.
Nisitani, H. and Chen, D.H. (1992). Body force method, in Advance in Boundary Element Methods for Fracture Mechanics (Edited by M. Aliabadi and C. Brebbia), Chapter 4, Computational Mechanics Publications, Southampton, Boston.
Sung, J.C., Liou, J.Y. and Lin, Y.Y. (1996). Some phenomena of cracks perpendicular to an interface between dissimilar orthotropic materials. Journal of Applied Mechanics 63, 190–203.
Ting, T.C.T. and Hoang, P.H. (1984). Singularities at the tip of a crack normal to the interface of an anisotropic layered composite. International Journal of Solids Structure 20, 439–454.
Zak, A.R. and Williams, M.L. (1963). Crack point stress singularities at a bimaterial interface. Journal of Applied Mechanics 30, 142–143.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chen, DH. Stress intensity factor for a crack normal to an interface between two orthotropic materials. International Journal of Fracture 88, 19–39 (1997). https://doi.org/10.1023/A:1007446622055
Issue Date:
DOI: https://doi.org/10.1023/A:1007446622055