TECHNICAL PAPERS
Jan 1, 1997

Analysis of Multiple Cracks Close to Bimaterial Interface

Publication: Journal of Aerospace Engineering
Volume 10, Issue 1

Abstract

In this paper we present a methodology and a rigorous solution formulation for multiple crack problems in nonhomogeneous plates using the dislocation complex potential technique. The fundamental perturbation problem is investigated by establishing a system of singular integral equations, whose solution gives mixed-mode stress intensity factors [(SIFs), k] and strain energy release rate [(SERR), G]. The numerical integration of the singular integral equations is carried out by using a Lobatto type collection technique. Finite-element analysis (FEA) of the representative problem is provided for accuracy comparison. Finally, studies for two cracks located on the opposite side of the interface are presented.

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References

1.
Ballarini, R., Mukai, D. H., and Miller, G. R. (1990). “Analysis of interface crack branching.”J. Appl. Mech., (Dec.), 887–893.
2.
Barsoum, R. S.(1976). “On the use of isoparametric finite elements in linear fracture mechanics.”Int. J. Numer. Methods in Engrg., 10, 25–37.
3.
Binienda, W. K., and Arnold, S. M.(1995). “Driving force in an anisotropic plate with multiple crack interactions.”Int. J. Fracture, 71, 213–245.
4.
Binienda, W. K., Arnold, S. M., and Tan, H. Q. (1992). “Calculation of stress intensity factors in an isotropic multicracked plate. Part I: Theoretical development.”NASA Technique Memo. 105766, Nat. Aeronautics and Space Admin. (NASA), Washington, D.C.
5.
Binienda, W. K., Arnold, S. M., Tan, H. Q., and Xu, M. H.(1993). “Stress intensity factors in fully interacting multiple cracked isotropic plate.”Computational Mech., 13, 1–18.
6.
Chen, Y. Z.(1971). “Multiple crack problems for two bonded half plane and antiplane elasticity.”Engrg. Fracture Mech., 25(1), 1–9.
7.
Cherepanov, G. P. (1995). Mechanics of brittle fracture. McGraw-Hill Book Co., Inc., New York, N.Y.
8.
Cook, T. S., and Erdogan, F.(1972). “Stresses in bonded materials with a crack perpendicular to the interface.”Int. J. Engrg. Sci., 10, 677–697.
9.
Erdogan, F.(1971). “Bonded dissimilar materials containing cracks parallel to the interface.”Engrg. Fracture Mech., 3, 231–240.
10.
Heitzer, J.(1992). “The kinked interface crack.”Int. J. Fracture, 55, 131–142.
11.
Isida, M.(1969). “Analysis of stress intensity factors for plates containing randomly distributed cracks.”Trans. Japan Soc. of Mech. Engrg., Tokyo, Japan, 35(277), 1815–1822.
12.
Manu, C.(1984). “Variable crack length quarter-point element.”Nuclear Engrg. and Des., 80, 309–313.
13.
Muskhelishvili, N. I. (1953a). Some basic problems of the mathematical theory of elasticity. P. Noordoff and Co., New York, N.Y.
14.
Muskhelishvili, N. I. (1953b). Singular integral equations. Noordhoff Grongen.
15.
Yijun, D., and Atilla, A.(1991). “Interaction of multiple cracks and formulation of echelon crack arrays.”Int. J. Numer. and Anal. Methods in Geomech., 15, 205–218.
16.
Yokobori, T., Vozumi, M., and Ichikawa, M.(1971). “Interaction between non-coplanar parallel staggered elastic cracks.”Tohoku Univ. Res. Inst. Strength Fracture Mat. Rep., 7, 25–47.

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Published In

Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 10Issue 1January 1997
Pages: 16 - 26

History

Published online: Jan 1, 1997
Published in print: Jan 1997

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Authors

Affiliations

Ming Zhou
Prof., Dept. of Civ. Engrg., The Univ. of Akron, Akron, OH 44325-3905.
Wieslaw K. Binienda
Prof., Dept. of Civ. Engrg., The Univ. of Akron, Akron, OH.

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