J-Dominance in Mixed Mode Ductile Fracture Specimens |
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Authors: | Y Arun Roy R Narasimhan |
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Affiliation: | (1) Department of Mechanical Engineering, Indian Institute of Science, Bangalore, 560 012, India |
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Abstract: | The asymptotic mixed mode crack tip fields in elastic-plastic solids are scaled by the J-integral and parameterized by a near-tip mixity parameter, M
_p
. In this paper, the validity and range of dominance of these fields are investigated. To this end, small strain elastic-plastic
finite element analyses of mixed mode fracture are first performed using a modified boundary layer formulation. Here, a two
term expansion of the elastic crack tip field involving the stress intensity factor |K| the elastic mixity parameter M
_e
as well as the T-stress is prescribed as remote boundary conditions. The analyses are conducted for different values of M
_e
and the T-stress. Next, several commonly used mixed mode fracture specimens such as Compact Tension Shear (CTS), Four Point Bend (4PB),
and modified Compact Tension specimen are considered. Here, the complete range of loading from contained yielding to large
scale yielding is analyzed. Further, different crack to width ratios and strain hardening exponents are considered. The results
obtained establish that the mixed mode asymptotic fields dominate over physically relevant length scales in the above geometries,
except for predominantly mode I loading and under large scale yielding conditions.
This revised version was published online in August 2006 with corrections to the Cover Date. |
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Keywords: | Fracture Mechanics mixed mode ductile fracture J-dominance |
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