NEAR-TIP FIELD FOR PSEUDO MODE-II CRACK-GROWTH - POWER-LAW HARDENING MATERIAL

The asymptotic behavior of stress and strain near the tip of a Mode II crack growing in power law hardening material is analyzed by assuming that the crack grows straight ahead even though tests show otherwise. The results show that the stress and strain possess the singularities of (ln r)(2/(n-1)) and (ln r)(2n/(n-1)), respectively. The distance f rom the crack tip is r, and n is the hardening exponent, i.e. epsilon similar to sigma(n). The amplitudes of the stress and strain near the crack tip are determined by the asymptotic analysis.