Continuum mechanics fatigue model for arbitrary ratios of shear and normal stress fatigue strengths
(2025) In Mechanics of Materials 209.- Abstract
The model is based on an existing framework for high-cycle fatigue by Ottosen et al. (2008) that treats the fatigue damage as a time-continuous variable, opposed to relying on cycle-counting techniques. We propose a generalized formulation where the relationship between the fatigue limits for fully reversed shear stress and normal stress can take any value, unlike in the original formulation, where the relationship is restricted to 1/3. For this ratio, the new formulation reduces to the original model. The only new information required is the fatigue limit for pure shear. The new endurance function is written in terms of stress tensor invariants and exhibits a star-convex 60-degree symmetry in the deviatoric plane. For linear stress... (More)
The model is based on an existing framework for high-cycle fatigue by Ottosen et al. (2008) that treats the fatigue damage as a time-continuous variable, opposed to relying on cycle-counting techniques. We propose a generalized formulation where the relationship between the fatigue limits for fully reversed shear stress and normal stress can take any value, unlike in the original formulation, where the relationship is restricted to 1/3. For this ratio, the new formulation reduces to the original model. The only new information required is the fatigue limit for pure shear. The new endurance function is written in terms of stress tensor invariants and exhibits a star-convex 60-degree symmetry in the deviatoric plane. For linear stress histories, the model can be written as an invariant-based multiaxial fatigue limit criterion taking a generalized form of the Sines criterion. The model is validated for infinite and finite fatigue lifetimes towards a large amount of experimental literature data by considering materials where the ratio of the fatigue limits for fully reversed shear stress to normal stress ranges from 0.519 (NiCrMo steel) to 1.414 (LBPF 316L steel).
(Less)
- author
- Tveit, Sigbjørn LU ; Ottosen, Niels Saabye LU ; Erduran, Emrah and Reyes, Aase
- organization
- publishing date
- 2025-10
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Continuum mechanics fatigue model, High-cycle fatigue, Lode angle, Multiaxial stress
- in
- Mechanics of Materials
- volume
- 209
- article number
- 105452
- publisher
- Elsevier
- external identifiers
-
- scopus:105011710910
- ISSN
- 0167-6636
- DOI
- 10.1016/j.mechmat.2025.105452
- language
- English
- LU publication?
- yes
- id
- fd559ce3-8891-4577-9bd9-7d9132674b70
- date added to LUP
- 2025-11-03 15:51:33
- date last changed
- 2025-11-03 15:51:59
@article{fd559ce3-8891-4577-9bd9-7d9132674b70,
abstract = {{<p>The model is based on an existing framework for high-cycle fatigue by Ottosen et al. (2008) that treats the fatigue damage as a time-continuous variable, opposed to relying on cycle-counting techniques. We propose a generalized formulation where the relationship between the fatigue limits for fully reversed shear stress and normal stress can take any value, unlike in the original formulation, where the relationship is restricted to 1/3. For this ratio, the new formulation reduces to the original model. The only new information required is the fatigue limit for pure shear. The new endurance function is written in terms of stress tensor invariants and exhibits a star-convex 60-degree symmetry in the deviatoric plane. For linear stress histories, the model can be written as an invariant-based multiaxial fatigue limit criterion taking a generalized form of the Sines criterion. The model is validated for infinite and finite fatigue lifetimes towards a large amount of experimental literature data by considering materials where the ratio of the fatigue limits for fully reversed shear stress to normal stress ranges from 0.519 (NiCrMo steel) to 1.414 (LBPF 316L steel).</p>}},
author = {{Tveit, Sigbjørn and Ottosen, Niels Saabye and Erduran, Emrah and Reyes, Aase}},
issn = {{0167-6636}},
keywords = {{Continuum mechanics fatigue model; High-cycle fatigue; Lode angle; Multiaxial stress}},
language = {{eng}},
publisher = {{Elsevier}},
series = {{Mechanics of Materials}},
title = {{Continuum mechanics fatigue model for arbitrary ratios of shear and normal stress fatigue strengths}},
url = {{http://dx.doi.org/10.1016/j.mechmat.2025.105452}},
doi = {{10.1016/j.mechmat.2025.105452}},
volume = {{209}},
year = {{2025}},
}