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TECHNICAL PAPERS

The Mixed-Mode Fracture Analysis of Multiple Embedded Cracks in a Semi-Infinite Plane by an Analytical Alternating Method

[+] Author and Article Information
Chih-Yi Chang, Chien-Ching Ma

Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.

J. Pressure Vessel Technol 124(4), 446-456 (Nov 08, 2002) (11 pages) doi:10.1115/1.1493204 History: Received May 17, 2001; Revised April 15, 2002; Online November 08, 2002
Copyright © 2002 by ASME
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References

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Ioakimidis,  N. I., and Theocaris,  P. S., “A System of Curvilinear Cracks in an Isotropic Elastic Half-Plane,” Int. J. Fract., 15, pp. 299–309.
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Krishnamurthy,  T., and Raju,  I. S., 1990, “A Finite-Element Alternation Method for Two-Dimensional Mixed-Mode Crack Configuration,” Eng. Fract. Mech., 36, pp. 297–311.
Rajiyah,  H., and Atluri,  S. N., 1989, “Evaluation of K-Factors and Weight Functions for 2-D Mixed-Mode Multiple Cracks by the Boundary Element Alternation Method,” Eng. Fract. Mech., 32, pp. 911–922.
Raju,  I. S., and Krishnamurthy,  T., 1992, “A Boundary Element Alternating Method for Two-Dimensional Mixed-Mode Fracture Problems,” Computational Mechanics, 10, pp. 133–150.
Isida, M., 1976, “Elastic Analysis of Cracks and Stress Intensity Factors” (in Japanese), Fracture Mechanics and Strength of Materials 2, Baifuukan, pp. 181–184.
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Figures

Grahic Jump Location
Two radial cracks near the boundary of a semi-infinite plane
Grahic Jump Location
A main crack and a collinear microcrack in a semi-infinite plane—(a) present, (b) Rose 22
Grahic Jump Location
The normalized S.I.F. of crack tips A and B for two radial cracks near the boundary of a semi-infinite plane
Grahic Jump Location
The normalized S.I.F. of crack tips C and D for two radial cracks near the boundary of a semi-infinite plane
Grahic Jump Location
A finite crack in an infinite plane subjected to point loads
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Semi-infinite plane subjected to point forces applied on the boundary
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The external alternating procedure of a semi-infinite plane with multiple cracks
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The internal alternating procedure of the infinite plate with multiple cracks
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Two parallel cracks in an infinite plane subjected to a remote tension load
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Comparison of normalized mode I S.I.F. of crack tip A for two parallel cracks in an infinite plane
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Comparison of normalized mode I S.I.F. of crack tips A and B for two inclined cracks in an infinite plane
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An inclined crack near the boundary of a semi-infinite plane subjected to remote tension
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Two symmetrical inclined cracks near the boundary of the semi-infinite plane
Grahic Jump Location
The normalized mode I S.I.F. of crack tips A and B for two symmetrical inclined cracks near the boundary of a semi-infinite plane
Grahic Jump Location
Two collinear inclined cracks near the boundary of a semi-infinite plane
Grahic Jump Location
The normalized S.I.F. for two collinear inclined cracks near the boundary of a semi-infinite plane (d1/a=0.5)
Grahic Jump Location
The normalized S.I.F. for two collinear inclined cracks near the boundary of a semi-infinite plane (d2/a=0.5)

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