Abstract:
The stress field of plane strain mode I crack with bidirectional tensile stress is calculated by using linear elastic finite element method, the relationship between stress components at crack tip is analyzed, the function of each non-zero component stress about half of crack length
a and minimum grid size
l1 at crack tip is fitted, and the correlation between first invariant of stress
I1 and stress field intensity factor
KI is analyzed. The results show that there is a stable proportional relationship among the non-zero stress components at the crack tip. The ratio of the non-zero stress component and the loading stress is proportional to the 1/2 power of half length of crack
a, and is antiproportional to the 1/2 power of minimum mesh size at crack tip
l1. Under the same minimum mesh size condition, the ratio
I1/
KI of the first invariant of stress at crack tip to the intensity factor of stress field is a constant independent of the loading stress and crack length, confirming the consistency of the
I1 and
K criterions for linear elastic fracture of plane strain mode I crack subjected to bidirectional equal tensile stress.