An elastic-plastic finite element analysis of crack tip fields under biaxial loading conditions

1974 ◽  
Vol 10 (3) ◽  
pp. 393-404 ◽  
Author(s):  
K. J. Miller ◽  
A. P. Kfouri
2008 ◽  
Vol 392-394 ◽  
pp. 980-984 ◽  
Author(s):  
Y. Sha ◽  
Hui Tang ◽  
Jia Zhen Zhang

In this paper, a detailed elastic-plastic finite element analysis of the effect of the compressive loading on crack tip plasticity is studied based on the material’s kinematic hardening model. Five centre-cracked panel specimens with different crack lengths are analyzed. The analysis shows that in a tension-compression loading the maximum spread of the crack tip reverse plastic zone increases with the increase of the compressive stress and the near crack tip opening displacement decreases with the increase of the compressive stress at the same nominal stress intensity factor. The applied compressive stress is the main factor controlling the near crack tip parameters.


1983 ◽  
Vol 18 (1) ◽  
pp. 69-75 ◽  
Author(s):  
A P Kfouri

Results from an elastic-plastic finite element analysis of a compact tension specimen (CTS) are presented and provide information on the growth of crack tip plastic zones, crack tip opening displacements, stresses and strains in the region of the crack tip, and Rice's J integral. The elastic-plastic crack separation energy rate GΔ is also evaluated when the crack extends at various loads by applying a crack tip node release technique.


1976 ◽  
Vol 18 (3) ◽  
pp. 97-112 ◽  
Author(s):  
J. D. G. Sumpter ◽  
C. E. Turner

In Part 1, a brief summary of the justification and advantages of the use of the J contour integral in elastic-plastic finite-element analysis is given. A more detailed appraisal is then made of its interpretation as an energy balance concept in the presence of irreversible plastic deformation. Numerical illustration of the points made is provided by an elastic-plastic finite-element analysis on a series of monotonically loaded centre-cracked plates of different 2 a/W ratios. With incremental plasticity it is concluded that although an energy balance interpretation can be assigned to J, it is not a release rate of energy available to propagate a fracture. In Part 2, the role of J as a crack-tip characterizing parameter is examined with the help of elastic-plastic finite-element analysis. The evidence indicates that a given value of J does not ensure a unique crack-tip environment for different cracked-body geometries. It may, however, characterize the crack tip adequately for some engineering purposes and, in particular, may be used to model the fracture behaviour of a large-scale test using a smaller but geometrically similar specimen, for a given degree of through thickness constraint.


2006 ◽  
Vol 324-325 ◽  
pp. 73-76
Author(s):  
J.Z. Zhang ◽  
Xiao Dong He ◽  
X. Song ◽  
Shan Yi Du

An elastic-plastic finite element analysis of the effect of the compressive loading on crack tip plasticity is presented. Two center-cracked panel specimens with different crack lengths are analysed under tension-compression loading. The size and shape of the crack tip reverse plastic zone, the crack opening profiles of the crack tip for short (0.1 mm) and long crack (2 mm) have been studied. The analysis shows that the compressive loading has a significant contribution towards the crack tip plasticity.


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