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ASTM Selected Technical Papers
Fracture Mechanics: Fifteenth Symposium
By
RJ Sanford
RJ Sanford
1Department of Mechanical Engineering,
University of Maryland
,
College Park, Maryland
;
symposium chairman and editor
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ISBN-10:
0-8031-0208-9
ISBN:
978-0-8031-0208-8
No. of Pages:
771
Publisher:
ASTM International
Publication date:
1984

Weight (or Green's) functions are obtained, using an accurate modified mapping collocation numerical technique, for cylindrical specimens with either one or two internal or external radial cracks. Radii ratios (the ratio of external/internal radius) of 1.25, 1.5, 1.75, 2.0, 2.5, and 3.0 are considered. The weight functions are used to obtain stress intensity (K) factors for radial loading by point forces symmetrically located about the crack line and about an axis at right angles to the crack line, through the center of the specimen. The maximum errors associated with the solutions are estimated at 1%.

Notable features of the results obtained include a significant range of crack lengths with near-constant K-values, and configurations in which K changes sign as the crack length is increased. The point force configurations are suited to serve as cylindrical test specimens, either for fracture toughness or fatigue crack growth testing.

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Parker
,
A. P.
,
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,
J. H.
,
Throop
,
J. F.
, and
Andrasic
,
C. P.
in
Fracture Mechanics: Fourteenth Symposium—Volume I: Theory and Analysis
, ASTM STP 791,
Lewis
J. C.
and
Sines
G.
, Ed.,
American Society for Testing and Materials
,
1983
, pp. I-216-I-237.
2.
Jones
,
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,
Engineering Fracture Mechanics
 0013-7944, Vol.
6
,
1974
, pp. 435-446.
3.
Kapp
,
J. A.
, “
The Effect of Autofrettage on Fatigue Crack Propagation in Externally Flawed Thick-Walled Disks
,” Technical Report ARCLB-TR-77025,
Benet Weapons Laboratory
, Watervliet, N.Y.,
1977
.
4.
Andrasic
,
C. P.
and
Parker
,
A. P.
, “
Weight Functions for Cracked Curved Beams
,” in
Proceedings
,
2nd International Conference on Numerical Methods in Fracture Mechanics
,
Swansea
,
1980
, pp. 67-82.
5.
Parker
,
A. P.
and
Andrasic
,
C. P.
, “
Stress Intensity Factors for Externally and Internally Cracked, Pressurized Thick Cylinders with Residual and Thermal Stresses
,” presented at
International Conference on Fracture Mechanics Technology
,
Melbourne, Australia
,
1982
.
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,
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,
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, Vol.
50
, No.
9
,
1970
, pp. 529-546.
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,
J. R.
,
International Journal of Solids and Structures
 0020-7683, Vol.
8
, No.
6
,
1972
, pp. 751-758.
8.
Parker
,
A. P.
and
Andrasic
,
C. P.
, “
Mode I Stress Intensity Factors for Point Loaded Cylindrical Test Specimens with One or Two Radial Cracks
,” Technical Note MAT/34,
Royal Military College of Science
,
Shrivenham, U.K.
,
1982
.
9.
Timoshenko
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,
Elements of Elasticity
, 3rd ed.,
McGraw-Hill
,
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,
1970
.
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