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Numerical study of fatigue crack growth considering an elastic–plastic layer in mixed-mode loading

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Abstract

In this work, crack propagation simulations in a weak surface between an elastic–plastic layer and an elastic substrate are considered. A plane strain model is used in the simulations. Fracture propagation process is taken into account by an irreversible cyclic cohesive zone model. Loading applied to the structure is rotated in order that mixed loading modes could be introduced. Besides loading, thickness of the elastic–plastic layer is also changed. All other intrinsic fracture properties are kept constant. The present work shows a direct relation between mode II applied energy and the energy dissipated plastically during propagation. As a consequence, the introduction of mode II loading intensifies the effects of the elastic–plastic layer, resulting substantially larger plastic strains, more extensive crack closure during unloading and smaller tractions at the crack tip when the size of the layer increases. The result is a substantial increase in the fatigue crack growth resistance. These effects are minimal or not observed when only mode I is considered.

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Notes

  1. For brevity, \(\varDelta G_{I,0}\) will be called only as applied energy, from now on.

  2. Although not shown in the presented results, a good correlation of the size of the plastic zone when \(h_l / \delta _0 \rightarrow \infty \) can be obtained comparing present solutions to analytical solutions associated to mixed mode, see for instance Benrahou et al. (2007).

  3. Residual hydrostatic stresses are positive due to normal Cauchy stresses in x-direction.

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Acknowledgements

The authors are pleased to acknowledge support from the Brazilian Government through CAPES and CNPq fellowships.

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  1. Center of Applied and Computational Mechanics, Universidade Federal do Rio Grande do Sul, Av. Osvaldo Aranha 99, Porto Alegre, 90035-190, Brazil

    Rafael Moresco & Eduardo Bittencourt

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  1. Rafael Moresco
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  2. Eduardo Bittencourt
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Correspondence to Eduardo Bittencourt.

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Moresco, R., Bittencourt, E. Numerical study of fatigue crack growth considering an elastic–plastic layer in mixed-mode loading. Int J Fract 221, 39–52 (2020). https://doi.org/10.1007/s10704-019-00402-9

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