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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
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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

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