Abstract
A two-dimensional finite element analysis is performed to model the behavior of fatigue cracks in bimaterial specimens made of diffusion-bonded ARMCO-iron and SAE 4340 steel with an interface perpendicular to the crack plane. The numerical analyses are based on experiments conducted by Pippan et al. [Mater. Sci. Eng. A 283 (2000) 225–233]. The concept of configurational forces is used to evaluate by post-processing the crack-tip shielding and anti-shielding effects that occur due to the differences in yield stress, hardening and coefficients of thermal expansion of ARMCO-iron and SAE 4340 steel. For given values of applied stress intensity range Δ K app and applied load ratio R app, the near-tip J-integral J tip is calculated at the maximum and minimum load. To allow for crack closure, the effective near-tip stress intensity range Δ K eff,tip is evaluated from the near-tip stress intensity range Δ K tip and the near-tip load ratio R tip. Calibration curves for homogeneous ARMCO-iron and SAE 4340 steel are used to calculate the crack growth rate da/ dN from the values of Δ K eff,tip. The distance between interface and crack tip L is varied to simulate the behavior of a growing crack. The computed curves da/ dN versus L curves are in good agreement with the experimental results.
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