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The Use of Polar Damage Sum Concept for Calculating Mean Stress Effect in Multiaxial Fatigue Loading Conditions

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Beschreibung

Fatigue damage of materials is a complex phenomenon and the application of multiaxial cyclic loading with mean stress makes the fatigue-based analysis is more challenging. In 2016, Albinmousa [1] introduced the concept of polar representation for analyzing multiaxial fatigue loading. Later, Albinmousa and Al Hussain [2] established the polar damage sum concept that was used to calculate the fatigue damage for constant amplitude proportional and non-proportional loading conditions using Fatemi-Socie and Smith-Watson-Topper models. The polar damage sum concept is a generalization of the well-known critical plane concept. The polar damage sum concept is proposed based on the assumption that the fatigue damage results from the contribution of all planes. Polar representation is used to demonstrate the state of stress surrounding an infinitesimal element on the surface of the specimen. Then, a damage parameter like the Smith-Watson-Topper

D_SWT = σ_n,maxΔε_max/2

is represented in the polar forms as

D_SWT(φ) = σ_n,max(φ)Δε_max(φ)/2

It is proposed that the damage is calculated as the area enclosed by D_SWT(φ). This investigation focuses on the application of the polar damage sum concept for analyzing fatigue loading conditions that involves mean stress. Different fatigue data were obtained from the literature. These include uniaxial fatigue experiment on SAE 1045 steel [3] and multiaxial fatigue experiments on fine grain structural steel S460N [4]. Using Smith-Watson-Topper parameter, a comparison between the correlations for fatigue damage and fatigue lives obtained from implementing the critical plane and polar damage sum concepts is shown in Fig.1. This figure shows that the polar damage sum concept yields excellent correlation between fatigue damage and fatigue life. Further analysis will be conducted to examine additional loading conditions and materials.

Artikelnummer: ICMFF14-2025-29

Titel: The Use of Polar Damage Sum Concept for Calculating Mean Stress Effect in Multiaxial Fatigue Loading Conditions
Autor(en): J. Albinmousa, A. Alhammali, M. Ismail
DOI: 10.48447/ICMFF14-2025-29
Veranstaltung: 14. International Conference on Multiaxial Fatigue and Fracture 2025
Jahr der Veröffentlichung: 2025
Publikationsart: Tagungsmanuskript (PDF)
Sprache: Englisch
Stichwörter: Fatigue damage,multiaxial,Mean stress,Polar damage sum concept,critical plane concept

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Englisch

25,00 €

Nur online erhältlich Neu

Autor(en): S.S. Penkulinti, N. Saintier, M. Bonneric, B. Verquin, T. Palin-Luc, F. Lefebvre

Numerical Analysis of Defect Population Influence on the Multiaxial High-cycle Fatigue Strength Anisotropy of Ti64 Manufactured by Laser Powder Bed Fusion (L-PBF)

Publikationsart: Tagungsmanuskript (PDF)

Englisch

25,00 €

Nur online erhältlich Neu

Autor(en): N. M. Bauer, A. Wöhle, J. Baumgartner

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Englisch

25,00 €

Nur online erhältlich Neu

Autor(en): G. Veile, J. Lotz, J. Rudolph, S. Weihe

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1

Englisch

25,00 €

Nur online erhältlich Neu

Autor(en): N. Santos, R. Costa, F. Castro

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Modeling of small fatigue crack growth under multiaxial stress conditions

Publikationsart: Tagungsmanuskript (PDF)

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1

Englisch

25,00 €

Nur online erhältlich Neu

Autor(en): M. Sakane

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Crack Initiation Life Estimate for Notched Specimens of SUS304 and Mod.9Cr-1Mo Steels under Nonproportional Cyclic Loading

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Englisch

25,00 €

Nur online erhältlich Neu

Autor(en): L. C. Araujo, J. A. Araújo

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Englisch

25,00 €

Nur online erhältlich Neu

Autor(en): M. Müller, D. Knabner, L. Suchy, A. Hasse

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1

Effect of welding spots on the stress intensity and crack propagation angle under plain fretting and fretting fatigue with flat-flat contact

Publikationsart: Tagungsmanuskript (PDF)

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1

Englisch

25,00 €

Nur online erhältlich Neu

Autor(en): M. Wächter, R. Wuthenow, C. Fällgren, H.-T. Beier, M. Obermayr, R. Rennert, M. Vormwald, A. Esderts

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1

Evaluation of multi-axial stresses using the FKM guideline - status quo and how it can be improved

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1

Englisch

25,00 €

Nur online erhältlich Neu

Autor(en): J.-A. Meis

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1

Interior fatigue of gears under special consideration of multiaxial stresses and local material properties

Publikationsart: Tagungsmanuskript (PDF)

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1

Englisch

25,00 €

Nur online erhältlich Neu

Autor(en): A. Gibb, A. Tsakmakis, M. Vormwald

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1

Simulation of crack propagation in ductile materials under non-proportional loading conditions. Part II: Phase field modelling of crack propagation

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1

Englisch

25,00 €

Nur online erhältlich Neu