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ASTM Selected Technical Papers
Fracture Mechanics: Nineteenth Symposium
By
TA Cruse
TA Cruse
1
Southwest Research Institute
,
San Antonio, TX 78284
;
symposium chairman and editor
.
Search for other works by this author on:
ISBN-10:
0-8031-0972-5
ISBN:
978-0-8031-0972-8
No. of Pages:
952
Publisher:
ASTM International
Publication date:
1988

The elastic line spring model is updated to accept arbitrarily distributed loads acting on plates to allow determination of stress-intensity factors of surface cracks under various types of loading, such as thermal stress and residual stress. The governing integral equations are modified, owing to the inclusion of the nonlinear loads. Careful numerical treatment and computer programming can make the analysis very efficient. It has been shown that a 16-point KI-distribution along a crack front can be obtained within 0.025 s (central processing unit) using Cray computer systems, which is at least four orders of magnitude faster than the finite-element analysis of the same problem. The outstanding computational efficiency makes the line spring model practical for many time-dependent fracture analyses in engineering applications.

Cracks with different shapes, namely, semielliptical, part-circular, and triangular cracks are investigated, and the results agree very well with the existing finite-element analysis solutions.

1.
Rice
,
J. R.
and
Levy
,
N.
, “
The Part-Through Surface Crack in an Elastic-Plate
,”
Journal of Applied Mechanics
 0021-8936, Vol.
39
,
1972
, pp. 185-194.
2.
Rice
,
J. R.
, “
The Line-Spring Model for Surface Flaws
,”
The Surface Crack: Physical Problems and Computational Solutions
,
Swedlow
J. L.
, Ed.,
American Society of Mechanical Engineers
,
New York, NY
,
1972
.
3.
Parks
,
D. M.
, “
The Inelastic Line-Spring: Estimates of Elastic-Plastic Fracture Mechanics Parameters for Surface-Cracked Plates and Shells
,”
Journal of Pressure Vessel Technology
 0094-9930, Vol.
103
,
1981
, pp. 246-254.
4.
Parks
,
D. M.
, “
Inelastic Analysis of Surface Flaws Using the Line-Spring Model
,”
Advances in Fracture (Fracture 1981)
,
Francois
D.
, Ed., Vol.
5
,
Pergamon
,
Oxford
,
1981
, pp. 2589-2598.
5.
Parks
,
D. M.
,
Rodin
,
G. J.
, and
Lockett
,
R. R.
, “
The Line-Spring Model for J-Analysis of Surface-Cracked Plates and Shells: Calibration of the Power-Law Spring
,”
Elastic-Plastic Fracture: Second Symposium
, ASTM STP 803,
American Society for Testing and Materials
,
Philadelphia
,
1983
.
6.
Parks
,
D. M.
and
White
,
C. S.
, “
Elastic-Plastic Line-Spring Finite Elements for Surface-Cracked Plates and Shells
,”
Aspects of Fracture Mechanics in Pressure Vessels and Piping
,
Palusamy
S. S.
and
Sampath
S. G.
, Eds., ASME PVP, Vol.
58
,
American Society of Mechanical Engineers
,
New York
,
1982
.
7.
Erdogan
,
F.
and
Aksel
,
B.
, “
Line Spring Model and Its Applications to Part-Through Crack Problems in Plates and Shells
,” this volume, pp. 125-152.
8.
Delale
,
F.
and
Erdogan
,
F.
, “
Application of the Line-Spring Model to a Cylindrical Shell Containing a Circumferential or an Axial Part-Through Crack
,”
Journal of Applied Mechanics
 0021-8936, Vol.
49
,
1982
, pp. 97-105.
9.
Yang
,
C. Y.
, “
Elastic-Plastic Line-Spring Method of J-Determination for Surface Flaws in Plates
,” Westinghouse Report, MT-SME-3664,
Westinghouse Electric Corp.
, Pittsburgh, PA, 27 Dec., 1984.
10.
Raju
,
I. S.
and
Newman
,
J. C.
, Jr.
, “
Stress-Intensity Factor Influence Coefficients for Internal and External Surface Cracks in Cylindrical Vessels
,”
Aspects of Fracture Mechanics in Pressure Vessels and Piping
, ASME PVP, Vol.
58
,
American Society of Mechanical Engineers
,
New York
,
1982
.
11.
Irwin
,
G. R.
, “
Fracture Mechanics
,”
Structural Mechanics
,
Goodier
J. N.
and
Hoff
J. N.
, Eds.,
Pergamon Press
,
New York
,
1960
, p. 557.
12.
Tada
,
H.
,
Paris
,
P. C.
, and
Irwin
,
G. R.
,
The Stress Analysis of Cracks Handbook
,
Del Research Corp.
,
Hellertown, PA
,
1973
.
13.
Rice
,
J. R.
, “
Some Remarks on Elastic Crack Tip Fields
,”
Internal Journal of Solids and Structures
, Vol.
8
,
1972
, pp. 751-758.
14.
Bueckner
,
H. F.
, “
A Novel Principle for the Computation of Stress-Intensity Factors
,”
Zeitschrift fur angewandte Mathematik und Mechanik
, Vol.
50
,
1970
, pp. 526-546.
15.
McGowan
,
J. J.
and
Raymund
,
M.
, “
Stress Intensity Factor Solutions for Internal Longitudinal Semielliptical Surface Flaws in a Cylinder Under Arbitrary Loadings
,”
Fracture Mechanics (Eleventh Conference)
 ASTM STP 677,
American Society for Testing and Materials
,
Philadelphia
,
1979
, pp. 365-380.
16.
Heliot
,
J.
,
Labbens
,
R. C.
, and
Pellissier-Tanon
, “
Semielliptical Cracks in a Cylinder Subjected to Stress Gradients
,”
Fracture Mechanics: Eleventh Conference
 ASTM STP 677,
American Society for Testing and Materials
,
Philadelphia
,
1979
, pp. 341-364.
17.
Cruse
,
T. A.
and
Van Buren
,
W.
, “
Three-Dimensional Elastic Stress Analysis of a Fracture Specimen with an Edge Crack
,”
Internal Journal of Fracture Mechanics
, Vol.
7
, No.
1
,
1971
, pp. 1-15.
18.
Cruse
,
T. A.
, “
Two- and Three-Dimensional Problems of Fracture Mechanics
,”
Developments in Boundary Element Methods
,
Banerjee
P. K.
and
Butterfield
R.
, Eds.,
Applied Science
,
London
, Vol.
1
,
1979
, pp. 97-119.
19.
Erdogan
,
F.
and
Gupta
,
G. D.
, “
On the Numerical Solution of Singular Integral Equations
,”
Quarterly of Applied Mathematics
 0033-569X,
01
1972
, pp. 525-534.
20.
Yang
,
C. Y.
, “
ORNL Benchmark Problems
,” Westinghouse Report, MT-SME-3000,
Westinghouse Electric Corp.
, Pittsburgh, PA,
15
07
1983
.
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