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Continuum mechanics fatigue model : Fatigue limits for out-of-phase combinations of normal and shear stress

Tveit, Sigbjørn ; Ottosen, Niels Saabye LU and Reyes, Aase (2026) 8th International Conference on Structural Integrity and Durability, ICSID 2025 In Procedia Structural Integrity 82. p.112-118
Abstract

The continuum mechanics fatigue model operates on state variables that are continuous in time, unlike cycle-counting-based methods that rely on deconstructing stress histories into a set of distinct cycles. This way, the continuum-based approach provides a modeling framework that, in principle, can handle arbitrary stress histories. Despite its successful application for a wide range of problems, the current formulations cannot fully capture the complexities of out-of-phase loading. The present work investigates this issue in further detail by considering cyclic stress histories induced by combinations of bending and torsion with various phase differences for infinite fatigue lifetimes. For mild steel, hard steel and duraluminum... (More)

The continuum mechanics fatigue model operates on state variables that are continuous in time, unlike cycle-counting-based methods that rely on deconstructing stress histories into a set of distinct cycles. This way, the continuum-based approach provides a modeling framework that, in principle, can handle arbitrary stress histories. Despite its successful application for a wide range of problems, the current formulations cannot fully capture the complexities of out-of-phase loading. The present work investigates this issue in further detail by considering cyclic stress histories induced by combinations of bending and torsion with various phase differences for infinite fatigue lifetimes. For mild steel, hard steel and duraluminum subjected to certain combinations of shear stress and normal stress with phase differences of 90 degrees, the model will overestimate the fatigue limit for some stress combinations. For a brittle cast iron, the observed fatigue limits are well captured when applying a generalized format that takes into account the effect of the shear stress fatigue limit.

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author
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Continuum mechanics fatigue model, high-cycle fatigue, multiaxial, out-of-phase
host publication
Procedia Structural Integrity
series title
Procedia Structural Integrity
volume
82
pages
7 pages
conference name
8th International Conference on Structural Integrity and Durability, ICSID 2025
conference location
Dubrovnik, Croatia
conference dates
2025-09-16 - 2025-09-27
external identifiers
  • scopus:105039118384
ISSN
2452-3216
DOI
10.1016/j.prostr.2026.04.018
language
English
LU publication?
yes
id
afe37f0d-99e8-49b7-84ee-f094b59115d3
date added to LUP
2026-07-10 13:49:39
date last changed
2026-07-10 13:49:39
@inproceedings{afe37f0d-99e8-49b7-84ee-f094b59115d3,
  abstract     = {{<p>The continuum mechanics fatigue model operates on state variables that are continuous in time, unlike cycle-counting-based methods that rely on deconstructing stress histories into a set of distinct cycles. This way, the continuum-based approach provides a modeling framework that, in principle, can handle arbitrary stress histories. Despite its successful application for a wide range of problems, the current formulations cannot fully capture the complexities of out-of-phase loading. The present work investigates this issue in further detail by considering cyclic stress histories induced by combinations of bending and torsion with various phase differences for infinite fatigue lifetimes. For mild steel, hard steel and duraluminum subjected to certain combinations of shear stress and normal stress with phase differences of 90 degrees, the model will overestimate the fatigue limit for some stress combinations. For a brittle cast iron, the observed fatigue limits are well captured when applying a generalized format that takes into account the effect of the shear stress fatigue limit.</p>}},
  author       = {{Tveit, Sigbjørn and Ottosen, Niels Saabye and Reyes, Aase}},
  booktitle    = {{Procedia Structural Integrity}},
  issn         = {{2452-3216}},
  keywords     = {{Continuum mechanics fatigue model; high-cycle fatigue; multiaxial; out-of-phase}},
  language     = {{eng}},
  pages        = {{112--118}},
  series       = {{Procedia Structural Integrity}},
  title        = {{Continuum mechanics fatigue model : Fatigue limits for out-of-phase combinations of normal and shear stress}},
  url          = {{http://dx.doi.org/10.1016/j.prostr.2026.04.018}},
  doi          = {{10.1016/j.prostr.2026.04.018}},
  volume       = {{82}},
  year         = {{2026}},
}