Abstract The line-spring model has proven to be an effective tool for evaluating fracture parameters in surface-cracked plates and shells. However, application of the model requires detailed numerical computations, necessitating the availability of a specialized computer code. For approximate engineering calculations a version of the model which is more convenient to implement computationally, would be useful. In this paper a simplified line-spring model is presented along with detailed illustration of its application. The simplification is accomplished by replacing the crack front with a crack of constant depth and treating the ligament “spring” as elastic perfectly plastic. Despite its simplicity the model gives reasonably accurate predictions of fracture parameters, such as the J-integral or crack opening displacement (COD) at the root of surface cracks. This will be demonstrated by comparing analytical results for J and COD with previously published experimental data for surface-cracked steel plates.
[1]
J. Knott,et al.
Fundamentals of Fracture Mechanics
,
2008
.
[2]
D. Parks,et al.
The Inelastic Line-Spring: Estimates of Elastic-Plastic Fracture Mechanics Parameters for Surface-Cracked Plates and Shells
,
1981
.
[3]
Feridun Delale,et al.
Line-spring model for surface cracks in a reissner plate
,
1981
.
[4]
F. Erdogan,et al.
Crack opening stretch in a plate of finite width
,
1975,
International Journal of Fracture.
[5]
J. Rice,et al.
The Part-Through Surface Crack in an Elastic Plate
,
1972
.
[6]
F. Erdogan,et al.
Ductile Fracture of Pipes and Cylindrical Containers With a Circumferential Flaw
,
1981
.
[7]
John R. Rice,et al.
The line spring model for surface flaws.
,
1972
.