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TECHNICAL PAPERS

Analysis of a Three-Dimensional Crack Terminating at an Interface Using a Hypersingular Integral Equation Method

[+] Author and Article Information
T. Y. Qin

College of Engineering Science, China Agricultural University, Beijing 100083, P. R. Chinae-mail: mech@maile.cau.edu.cn

N. A. Noda

Department of Mechanical Engineering, Kyushu Institute of Technology, Kitakyushu 804-8550, Japan

J. Appl. Mech 69(5), 626-631 (Aug 16, 2002) (6 pages) doi:10.1115/1.1488938 History: Received June 20, 2001; Revised November 05, 2001; Online August 16, 2002
Copyright © 2002 by ASME
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References

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Dai,  D. N., Hills,  D. A., and Nowell,  D. N., 1997, “Modeling of Growth of Three-Dimensional Cracks by a Continuous Distribution of Dislocation Loops,” Computational Mech., Berlin, 19, pp. 538–544.
Noda,  N. A., Kobayashi,  K., and Yagishita,  M., 1999, “Variation of Mixed Modes Stress Intensity Factors of an Inclined Semi-Elliptical Surface Cracks,” Int. J. Fract., 100, pp. 207–225.
Wang,  Q., , 2000, “Solution of the Distribution of Stress Intensity Factor Along the Front of a 3D Rectangular Crack by Using a Singular Integral Equation Method,” Trans. Jpn. Soc. Mech. Eng., Ser. A, 66(650), pp. 1922–1927 (in Japanese).
Chen,  M. C., and Tang,  R. J., 1997, “An Explicit Tensor Expression for the Fundamental Solutions of a Bimaterial Space Problem,” Appl. Math. Mech., 18(4), pp. 331–340.
Erdogan F., 1978, “Mixed Boundary Value Problems,” Mechanics Today, S. Nemat-Nasser ed., Pergamon Press, New York, 4 , pp. 1–86.
Tang,  R. J., and Qin,  T. Y., 1993, “Method of Hypersingular Integral Equations in Three-Dimensional Fracture Mechanics,” Acta Mech. Sin., 25, pp. 665–675.
Qin,  T. Y., and Tang,  R. J., 1993, “Finite-Part Integral and Boundary Element Method to Solve Embedded Planar Crack Problems,” Int. J. Fract., 60, pp. 191–202.
Noda, N. A., and Wang, Q., 2000, “Application of Body Force Method to Fracture and Interface Mechanics of Composites,” Research Report of the JSPS Postdoctoral Fellowship for Foreign Researchers, No. 98187.
Isida,  M., Yoshida,  T., and Noguchi,  H., 1991, “A Rectangular Crack in an Infinite Solid, a Semi-Infinite Solid and a Finite-Thickness Plate Subjected to Tension,” Int. J. Fract., 52, pp. 79–90.  

Figures

Grahic Jump Location
A rectangular crack meeting the interface
Grahic Jump Location
Stress intensity factor F1 at the center of the crack front on the interface (x2=0)
Grahic Jump Location
Stress intensity factor F1 along the crack front on the interface for μ21=0.5 

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