Abstract
Both conservative line and area integrals are derived from the Betti reciprocal principle to determine the stress intensity factor for a bimaterial strip. Numerical results are presented to demonstrate the accuracy of the methods. Several mesh types have been exploited to examine the effect of meshing on the results. Stress intensity factors obtained by means of the line integral vary somewhat between paths. Those found by means of the area integral have the same value on different paths.
Similar content being viewed by others
References
Banks-Sills, L., Yang, Y.Y. and Munz, D. An influence function for stress intensity factors of bimaterial notched bodies, accepted for publication: International Journal of Fracture 85, 333–350.
Banks-Sills, L. and Sherman, D. (1992). On the computation of stress intensity factors for three-dimensional geometries by means of the stiffness derivative and J-integral methods. International Journal of Fracture 53, 1–20.
Bathe, K.J. (1995). ADINA-Automatic Dynamic Incremental Nonlinear Analysis, Version 6.1, Adina Engineering Inc., Watertown, Massachusetts.
Bogy, D.B. (1971). Two edge-bonded elastic wedges of different materials and wedge angles under surface tractions. Journal of Applied Mechanics 38, 377–386.
Carpenter, W.C. (1984a). Calculation of fracture mechanics parameters for a general corner. International Journal of Fracture 24, 45–58.
Carpenter, W.C. (1984b). Mode I and II stress intensities for plates with cracks of finite opening. International Journal of Fracture 26, 201–214.
Carpenter, W.C. (1985). The eigenvector solution for a general corner of finite opening crack with further studies on the collocation procedure. International Journal of Fracture 27, 63–74.
Carpenter, W.C. (1995). Insensitivity of the reciprocal work contour integral method to higher order eigenvectors. International Journal of Fracture 73, 93–108.
Carpenter, W.C. and Byers, C. (1987). A path independent integral for computing stress intensities for v-notched cracks in a bi-material. International Journal of Fracture 35, 245–268.
Dundurs, J. (1969). Edge-bonded dissimilar orthogonal elastic wedges under normal and shear loading. Journal of Applied Mechanics 36, 650–652.
Fett, T. Personal communication.
Li, F.Z., Shih, C.F. and Needleman, A. (1985). A comparison of methods for calculating energy release rates. Engineering Fracture Mechanics 21, 405–421.
Munz, D. and Yang, Y.Y. (1992). Stress singularities at the interface in bonded dissimilar materials under mechanical and thermal loading. Journal of Applied Mechanics 59, 857–861.
Sinclair, G.B., Okajima, M. and Griffin, J.H. (1984). Path independent integrals for computing stress intensity factors at sharp notches in elastic plates. International Journal for Numerical Methods in Engineering 20, 999–1008.
Sinclair, G.B. (1985). A remark on the determination of mode I and mode II stress intensity factors for sharp re-entrant corners. International Journal of Fracture 27, R81–R85.
Yang, Y.Y. Personal communication.
Yang, Y.Y. (1992). Spannungssingularitäten in Zweistoffverbunden bei mechanischer and thermischer Belastung, Ph.D. thesis, University of Karlsruhe, Karlsruhe.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Banks-Sills, L. A Conservative Integral for Determining Stress Intensity Factors of a Bimaterial Strip. International Journal of Fracture 86, 385–398 (1997). https://doi.org/10.1023/A:1007426001582
Issue Date:
DOI: https://doi.org/10.1023/A:1007426001582