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A nonlocal multiscale model in time domain is developed for fatigue life predictions. The method is based on the mathematical homogenization theory with almost periodic fields. The almost periodicity reflects the effects of irreversible deformations in time domain in the form of accumulation of damage. Multiple temporal scales are introduced to decompose the original boundary value problem into micro-chronological (temporal unit cell) and macro-chronological (homogenized) problems. A nonlocal Gurson type constitutive law is revisited for cyclic loading, calibrated and validated against fatigue crack propagation experiments on 316L austenitic stainless steel specimens.
ACKNOWLEDGEMENT
This work was supported by the Office of Naval Research through grant number N00014-97-1-0687. This support is gratefully acknowledged.