Smith–Watson–Topper Parameter in Partial Slip Bimodal Oscillations of Axisymmetric Elastic Contacts of Similar Materials: Influence of Load Protocol and Profile Geometry

Based on a very fast numerical procedure for the determination of the subsurface stress field beneath frictional contacts of axisymmetric elastic bodies under arbitrary 2D oblique loading, the contact mechanical influences of loading parameters and contact profile geometry on the Smith–Watson–Topper...

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Main Author: Emanuel Willert
Format: Article
Language:English
Published: MDPI AG 2024-02-01
Series:Eng
Subjects:
Online Access:https://www.mdpi.com/2673-4117/5/1/18
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author Emanuel Willert
author_facet Emanuel Willert
author_sort Emanuel Willert
collection DOAJ
description Based on a very fast numerical procedure for the determination of the subsurface stress field beneath frictional contacts of axisymmetric elastic bodies under arbitrary 2D oblique loading, the contact mechanical influences of loading parameters and contact profile geometry on the Smith–Watson–Topper (SWT) fatigue crack initiation parameter in elastic fretting contacts with superimposed normal and tangential oscillations are studied in detail. The efficiency of the stress calculation allows for a comprehensive physical analysis of the multi-dimensional parameter space of influencing variables. It is found that a superimposed normal oscillation of the contact can significantly increase or decrease the SWT parameter, depending on the initial phase difference and frequency ratio between the normal and tangential oscillation. Written in proper non-dimensional variables, the rounded flat punch always exhibits smaller values of the SWT parameter, compared to a full paraboloid with the same curvature, while the truncated paraboloid exhibits larger values. A small superimposed profile waviness also significantly increased or decreased the SWT parameter, depending on the amplitude and wave length of the waviness. While both the load protocol and the profile geometry can significantly alter the SWT parameter, the coupling between both influencing factors is weak.
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spelling doaj.art-23d8a1276ce246a1a9e2d2a74f55911f2024-03-27T13:35:59ZengMDPI AGEng2673-41172024-02-015133334610.3390/eng5010018Smith–Watson–Topper Parameter in Partial Slip Bimodal Oscillations of Axisymmetric Elastic Contacts of Similar Materials: Influence of Load Protocol and Profile GeometryEmanuel Willert0Institute of Mechanics, Technische Universität Berlin, Sekretariat C8-4, Straße des 17. Juni 135, 10623 Berlin, GermanyBased on a very fast numerical procedure for the determination of the subsurface stress field beneath frictional contacts of axisymmetric elastic bodies under arbitrary 2D oblique loading, the contact mechanical influences of loading parameters and contact profile geometry on the Smith–Watson–Topper (SWT) fatigue crack initiation parameter in elastic fretting contacts with superimposed normal and tangential oscillations are studied in detail. The efficiency of the stress calculation allows for a comprehensive physical analysis of the multi-dimensional parameter space of influencing variables. It is found that a superimposed normal oscillation of the contact can significantly increase or decrease the SWT parameter, depending on the initial phase difference and frequency ratio between the normal and tangential oscillation. Written in proper non-dimensional variables, the rounded flat punch always exhibits smaller values of the SWT parameter, compared to a full paraboloid with the same curvature, while the truncated paraboloid exhibits larger values. A small superimposed profile waviness also significantly increased or decreased the SWT parameter, depending on the amplitude and wave length of the waviness. While both the load protocol and the profile geometry can significantly alter the SWT parameter, the coupling between both influencing factors is weak.https://www.mdpi.com/2673-4117/5/1/18axisymmetric contactsfrictionbimodal oscillationfatigue crack initiationflat punch superpositionmethod of dimensionality reduction
spellingShingle Emanuel Willert
Smith–Watson–Topper Parameter in Partial Slip Bimodal Oscillations of Axisymmetric Elastic Contacts of Similar Materials: Influence of Load Protocol and Profile Geometry
Eng
axisymmetric contacts
friction
bimodal oscillation
fatigue crack initiation
flat punch superposition
method of dimensionality reduction
title Smith–Watson–Topper Parameter in Partial Slip Bimodal Oscillations of Axisymmetric Elastic Contacts of Similar Materials: Influence of Load Protocol and Profile Geometry
title_full Smith–Watson–Topper Parameter in Partial Slip Bimodal Oscillations of Axisymmetric Elastic Contacts of Similar Materials: Influence of Load Protocol and Profile Geometry
title_fullStr Smith–Watson–Topper Parameter in Partial Slip Bimodal Oscillations of Axisymmetric Elastic Contacts of Similar Materials: Influence of Load Protocol and Profile Geometry
title_full_unstemmed Smith–Watson–Topper Parameter in Partial Slip Bimodal Oscillations of Axisymmetric Elastic Contacts of Similar Materials: Influence of Load Protocol and Profile Geometry
title_short Smith–Watson–Topper Parameter in Partial Slip Bimodal Oscillations of Axisymmetric Elastic Contacts of Similar Materials: Influence of Load Protocol and Profile Geometry
title_sort smith watson topper parameter in partial slip bimodal oscillations of axisymmetric elastic contacts of similar materials influence of load protocol and profile geometry
topic axisymmetric contacts
friction
bimodal oscillation
fatigue crack initiation
flat punch superposition
method of dimensionality reduction
url https://www.mdpi.com/2673-4117/5/1/18
work_keys_str_mv AT emanuelwillert smithwatsontopperparameterinpartialslipbimodaloscillationsofaxisymmetricelasticcontactsofsimilarmaterialsinfluenceofloadprotocolandprofilegeometry