Dynamic line-spring model for the simplified elastic analysis of the impact response of a 3-D surface crack.

In this article, author studied the application of two models of "single point damping-spring" model and "contact" model in the process of impact dynamic analysis. Research shows that the load and force could be transmitted smoothly in all these methods. But there still have limitations in two methods, we could not study the impact response of bearing itself and the shaft neck contacted with bearing in the "single point damping-spring" model, on the other hand, the penetration of contact parts could not be avoided completely in the "contact" model, sometimes, the numerical calculation even could not be converged if the parameters were not be set properly in this method. Of course, this two methods also have their own advantages, we could select different model according to different circumstances.

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Study of a spherical shell with a surface crack by the line-spring model

Engineering Structures ◽

10.1016/s0141-0296(99)00031-0 ◽

2000 ◽

Vol 22 (8) ◽

pp. 1006-1012 ◽

Cited By ~ 4

Author(s):

Bo Wang ◽

Ning Hu

Keyword(s):

Spherical Shell ◽

Surface Crack ◽

Spring Model ◽

Line Spring Model

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Application of the Line-Spring Model to a Cylindrical Shell Containing a Circumferential or Axial Part-Through Crack

Journal of Applied Mechanics ◽

10.1115/1.3162077 ◽

1982 ◽

Vol 49 (1) ◽

pp. 97-102 ◽

Cited By ~ 57

Author(s):

F. Delale ◽

F. Erdogan

Keyword(s):

Cylindrical Shell ◽

Stress Intensity ◽

Surface Crack ◽

Crack Depth ◽

Crack Problem ◽

Bending Moment ◽

Circular Ring ◽

Spring Model ◽

Axial Part ◽

Line Spring Model

In this paper the line-spring model developed by Rice and Levy is used to obtain an approximate solution for a cylindrical shell containing a part-through surface crack. It is assumed that the shell contains a circumferential or axial semi-elliptic internal or external surface crack and is subjected to a uniform membrane loading or a uniform bending moment away from the crack region. To formulate the shell problem, a Reissner type theory is used to account for the effects of the transverse shear deformations. The stress intensity factor at the deepest penetration point of the crack is tabulated for bending and membrane loading by varying three-dimensionless length parameters of the problem formed from the shell radius, the shell thickness, the crack length, and the crack depth. The upper bounds of the stress intensity factors are provided by the results of the elasticity solution obtained from the axisymmetric crack problem for the circumferential crack, and that were found from the plane strain problem for a circular ring having a radial crack for the axial crack. Qualitatively the line-spring model gives the expected results in comparison with the elasticity solutions. The results also compare well with the existing finite element solution of the pressurized cylinder containing an internal semi-elliptic surface crack.

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