Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-29T02:30:08.527Z Has data issue: false hasContentIssue false
  • English
  • Français

Crack Propagation Analysis of Statically Indeterminate Beam by Elastic-Plastic Fracture Mechanics

Published online by Cambridge University Press:  05 May 2011

Sung-Po Liu ,
C. J. Shih  and
Liang-Yu Kuo
Sung-Po Liu*
Affiliation:
Department of Mechanical Engineering, Ching Yun Institute of Technology, Jung-Li, Taiwan 32047, R.O.C.
C. J. Shih*
Affiliation:
Department of Mechanical Engineering, Tamkang University, Tamsui, Taiwan 25137, R.O.C.
Liang-Yu Kuo*
Affiliation:
Department of Mechanical Engineering, Tamkang University, Tamsui, Taiwan 25137, R.O.C.
*
* Assistant Professor
** Professor
*** Graduate student
Get access

Abstract

This paper develops an analytical model for the plastic collapse of a statically indeterminate rectangular beam containing a crack. Limit analysis, elastic-plastic fracture mechanics, compliance and J-integral concepts are used to study JIC and dJ/da that influence the crack propagation. The relations among the plastic hinge, applied load, linear displacement, rotational angle and crack growth leads to a better understanding of the problem as a consequence of this study. The conclusions are: (1) Unstable ductile fracture occurs at the crack propagates before plastic collapse or at dJ/da is smaller than the minimum critical value. (2) LBB (leak-before-break) characteristic of the statically indeterminate rectangular beam is valid if the crack propagates before plastic collapse.

Keywords

Elastic-plastic fracture mechanicsCrack propagation resistanceCrack growthStatically indeterminate beam
Type
Articles
Information
Journal of Mechanics , Volume 18 , Issue 3 , September 2002 , pp. 119 - 126
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2002

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Gerstle, K. H., Basic Structure Analysis, Prentice-Hall (1974).Google Scholar
2Tauchert, T. R., Energy Principles in Structural Mechanics, McGraw-Hill (1974).Google Scholar
3Liu, S. P. and Ando, K., “Leak-before-break and Plastic Collapse Behaviour of Statically Indeterminate Pipe System with Circumferential Crack,” Nuclear Engineering and Design, 195(3) pp. 261–270 (2000).CrossRefGoogle Scholar
4Broeck, Van den, Theory of Limit Design, John Wily and Sons Inc., New York (1948).Google Scholar
5Milne, I., Ainsworch, R. A., Dowling, A. R. and Stewart, A. T., CEGB Report R/H/R6-Rev.3 (1986).Google Scholar
6Kihara, H., Plastic Design Method, Morikita Issue (1960).Google Scholar
7Brown, W. F. Jr. and Srawly, J., ASTM STP, 410, pp. 1–65 (1966).Google Scholar
8Machida, S., Ductile Fracture Mechanics, Nikkan Industry News Inc. (1984).Google Scholar
9Hutchinson, J. W. and Paris, P. C., ASTM STP, 668, pp. 37–64 (1979).Google Scholar
10Shibata, K., Kaneko, T., Yokoyama, N., Ohba, T., Kawamura, T. and Miyazono, S., “Ductile Fracture Behavior and LBB Evaluation of Circumferentially Cracked Type 304 Stainless Steel Piping Under Bending Load,” JHPI, 24(5), pp. 10–18 (1986).Google Scholar
11Yoo, Y. S. and Ando, K., “Plastic Collapse and LBB Behavior of Statically Indeterminate Piping System Subjected to a Static Load,” Nuclear Engineering and Design, 207–pp. 341–350 (2001)CrossRefGoogle Scholar