Abstract
A multiscale model is developed for fatigue life predictions of elastoplastic solids and structures. The fatigue problem is formulated using a variant of the mathematical homogenization theory developed to account for almost periodic fields. Multiple temporal scales are employed to resolve the solution within a load cycle as well as to predict the useful life span of a structural component. The concept of almost-periodicity is introduced to account for irreversible inelastic deformation, which gives rise to nonperiodic fields in time domain. By this approach the original initial boundary value problem is decomposed into coupled microchronological (fast time-scale) and macro-chronological (slow time-scale) problems. The proposed life prediction methodology was implemented in ABAQUS and verified against the direct cycle-by-cycle simulation.
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