Adaptive mesh refinement and cycle jumps for phase-field fatigue fracture modeling

Phase-field models of fatigue are capable of reproducing the main phenomenology of fatigue behavior. However, phase-field computations in the high-cycle fatigue regime are prohibitively expensive due to the need to resolve spatially the small length scale inherent to phase-field models and temporally the loading history for several millions of cycles. As a remedy, we propose a fully adaptive acceleration scheme based on the cycle jump technique, where the cycle-by-cycle resolution of an appropriately determined number of cycles is skipped while predicting the local system evolution during the jump. The novelty of our approach is a cycle-jump criterion to determine the appropriate cycle-jump size based on a target increment of a global variable which monitors the advancement of fatigue. We propose the definition and meaning of this variable for three general stages of the fatigue life. In comparison to existing acceleration techniques, our approach needs no parameters and bounds for the cycle-jump size, and it works independently of the material, specimen or loading conditions. Since one of the monitoring variables is the fatigue crack length, we introduce an accurate, flexible and efficient method for its computation, which overcomes the issues of conventional crack tip tracking algorithms and enables the consideration of several cracks evolving at the same time. The performance of the proposed acceleration scheme is demonstrated with representative numerical examples, which show a speedup reaching up to four orders of magnitude in the high-cycle fatigue regime with consistently high accuracy. Graphical abstract

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An efficient phase-field model for fatigue fracture in viscoelastic solids using cyclic load decomposition and damage superposition

Yuan,

Tang,

et al. 2024

Computer Methods in Applied Mechanics and Engineering

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Adaptive mesh refinement and cycle jumps for phase-field fatigue fracture modeling

Cited by 12 publications

References 63 publications

A numerical framework based on localizing gradient damage methodology for high cycle fatigue crack growth simulations

A numerical framework based on localizing gradient damage methodology for high cycle fatigue crack growth simulations

An adaptive acceleration scheme for phase-field fatigue computations

An efficient phase-field model for fatigue fracture in viscoelastic solids using cyclic load decomposition and damage superposition

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