Finite-element study of the asymptotic near-tip fields for Mode I plane strain cracks growing stably in elastic ideally plastic solids
Technical Report
·
OSTI ID:6899421
The asymptotic analyses of Rice and Sorensen, Rice, Drugan and Sham and Drugan, Rice and Sham predict the crack opening rate delta at a small distance r from the growing crack tip under contained yielding conditions. The finite-element solutions generated are very detailed, with the maximum extent of the plastic zone being about 100 times the smallest element size. This high resolution in the finite-element element solution enables the correlation of the finite-element results with the asymptotic crack opening rate to be made and the expressions for the parameters ..cap alpha.. and R to be determined. Various crack-growth histories are simulated by relaxing the nodal force at the crack tip and simultaneously increasing the external applied load in order to investigate the possible dependence of ..cap alpha.. and R on the crack-growth history. The maximum amount of crack growth simulated is about 20% of the maximum extent of the plastic zone size. The numerical results reveal that a well-defined elastic unloading sector develops and moves with the advancing crack tip and its location coincides well with that predicted by the asymptotic analysis. Estimation from the numerical results gives ..beta.. = 5.46, which is in very good agreement with the asymptotic result. The parameter ..cap alpha.. is found to be independent of the crack-growth histories examined and has a value of 0.58. An attempt to relate R to the quantity EJ/sigma/sub o//sup 2/ is made. However, it is found that the parameter s, defined by s identical with R/(EJ/sigma/sub o//sup 2/), varies in a range 0.113 to 0.133 for the crack-growth histories simulated.
- Research Organization:
- Brown Univ., Providence, RI (USA). Div. of Engineering
- DOE Contract Number:
- AC02-80ER10556
- OSTI ID:
- 6899421
- Report Number(s):
- DOE/ER/10556-93; ON: DE83004250
- Country of Publication:
- United States
- Language:
- English
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