Abstract
In this paper, a numerical method was proposed to estimate the plastic mixity parameter M p for an elastic-plastic plane strain crack under mixed mode loading. An associated J-integral, the J∗-integral, has been defined. This integral is path-independent and can be evaluated from two sets of elastic–plastic fields, one being the actual field and another the auxiliary field, the last one can be obtained by decomposition of the actual field into symmetrical and anti-symmetrical parts with respect to the crack axis. By examining the J∗-integral in the near-tip fully plastic zone, the relationship between the J∗-integral and the plastic mixity parameter has been established. This method allows a simple evaluation of the plastic mixity parameter without considering the near tip stress field. The numerical studies show that the present method is quite accurate in determination of the mode mixity parameter compared to finite-element results.
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