English

A cohesive zone framework for environmentally assisted fatigue

Materials Science 2017-11-29 v1

Abstract

We present a compelling finite element framework to model hydrogen assisted fatigue by means of a hydrogen- and cycle-dependent cohesive zone formulation. The model builds upon: (i) appropriate environmental boundary conditions, (ii) a coupled mechanical and hydrogen diffusion response, driven by chemical potential gradients, (iii) a mechanical behavior characterized by finite deformation J2 plasticity, (iv) a phenomenological trapping model, (v) an irreversible cohesive zone formulation for fatigue, grounded on continuum damage mechanics, and (vi) a traction-separation law dependent on hydrogen coverage calculated from first principles. The computations show that the present scheme appropriately captures the main experimental trends; namely, the sensitivity of fatigue crack growth rates to the loading frequency and the environment. The role of yield strength, work hardening, and constraint conditions in enhancing crack growth rates as a function of the frequency is thoroughly investigated. The results reveal the need to incorporate additional sources of stress elevation, such as gradient-enhanced dislocation hardening, to attain a quantitative agreement with the experiments.

Keywords

Cite

@article{arxiv.1711.09965,
  title  = {A cohesive zone framework for environmentally assisted fatigue},
  author = {Susana del Busto and Covadonga Betegón and Emilio Martínez-Pañeda},
  journal= {arXiv preprint arXiv:1711.09965},
  year   = {2017}
}
R2 v1 2026-06-22T22:58:34.504Z