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Modelling of anisotropic high-cycle fatigue of metals

Kouhia, Reijo ; Ottosen, Niels Saabye LU ; Ristinmaa, Matti LU orcid ; Rubio Ruiz, Arturo ; Holopainen, Sami LU and Saksala, Timo (2025) In European Journal of Mechanics, A/Solids 111.
Abstract

A continuum approach for anisotropic high-cycle fatigue modelling for metals is described. The approach is based on the idea of an endurance surface moving in the stress space where the movement is described by a back-stress tensor. The movement of the endurance surface is governed by an evolution equation. Thereby, the back stress tensor memorizes the load history so that fatigue damage accumulation can be easily calculated under arbitrary complex loading conditions without cycle counting techniques. Orthotropy and transverse isotropy are treated using the invariant theory. Anisotropic forms for both endurance function and evolution equations for the back stress and damage, are considered. It is also shown that for proportional loading... (More)

A continuum approach for anisotropic high-cycle fatigue modelling for metals is described. The approach is based on the idea of an endurance surface moving in the stress space where the movement is described by a back-stress tensor. The movement of the endurance surface is governed by an evolution equation. Thereby, the back stress tensor memorizes the load history so that fatigue damage accumulation can be easily calculated under arbitrary complex loading conditions without cycle counting techniques. Orthotropy and transverse isotropy are treated using the invariant theory. Anisotropic forms for both endurance function and evolution equations for the back stress and damage, are considered. It is also shown that for proportional loading and infinite life time this approach leads to generalizations of Sines criterion to orthotropy and transverse isotropy. Identification of the model parameters is carried out for metallic materials with the experimental results available in the literature.

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author
; ; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Anisotropy, Endurance surface, Fatigue damage, High-cycle fatigue, Orthotropy, Transverse isotropy
in
European Journal of Mechanics, A/Solids
volume
111
article number
105601
publisher
Elsevier
external identifiers
  • scopus:85217960495
ISSN
0997-7538
DOI
10.1016/j.euromechsol.2025.105601
language
English
LU publication?
yes
id
ee8422e9-95fb-4612-93a5-3f0b1adce004
date added to LUP
2025-06-10 10:43:40
date last changed
2025-06-10 10:44:32
@article{ee8422e9-95fb-4612-93a5-3f0b1adce004,
  abstract     = {{<p>A continuum approach for anisotropic high-cycle fatigue modelling for metals is described. The approach is based on the idea of an endurance surface moving in the stress space where the movement is described by a back-stress tensor. The movement of the endurance surface is governed by an evolution equation. Thereby, the back stress tensor memorizes the load history so that fatigue damage accumulation can be easily calculated under arbitrary complex loading conditions without cycle counting techniques. Orthotropy and transverse isotropy are treated using the invariant theory. Anisotropic forms for both endurance function and evolution equations for the back stress and damage, are considered. It is also shown that for proportional loading and infinite life time this approach leads to generalizations of Sines criterion to orthotropy and transverse isotropy. Identification of the model parameters is carried out for metallic materials with the experimental results available in the literature.</p>}},
  author       = {{Kouhia, Reijo and Ottosen, Niels Saabye and Ristinmaa, Matti and Rubio Ruiz, Arturo and Holopainen, Sami and Saksala, Timo}},
  issn         = {{0997-7538}},
  keywords     = {{Anisotropy; Endurance surface; Fatigue damage; High-cycle fatigue; Orthotropy; Transverse isotropy}},
  language     = {{eng}},
  publisher    = {{Elsevier}},
  series       = {{European Journal of Mechanics, A/Solids}},
  title        = {{Modelling of anisotropic high-cycle fatigue of metals}},
  url          = {{http://dx.doi.org/10.1016/j.euromechsol.2025.105601}},
  doi          = {{10.1016/j.euromechsol.2025.105601}},
  volume       = {{111}},
  year         = {{2025}},
}