Effect of Residual Stresses on Fatigue Strength on the Smooth and Splined Parts of Spring Torsion Bars

The article discusses the effect of residual stresses on the fatigue strength of torsion bars by using the Dang Van fatigue criterion, at the stress concentration at the root of the tooth and at the smooth part of the torsion bar. Residual compressive stresses were induced on the surface during the...

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Main Authors: Vinko Močilnik, Jožef Predan, Nenad Gubeljak
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Metals
Subjects:
Online Access:https://www.mdpi.com/2075-4701/13/6/1004
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author Vinko Močilnik
Jožef Predan
Nenad Gubeljak
author_facet Vinko Močilnik
Jožef Predan
Nenad Gubeljak
author_sort Vinko Močilnik
collection DOAJ
description The article discusses the effect of residual stresses on the fatigue strength of torsion bars by using the Dang Van fatigue criterion, at the stress concentration at the root of the tooth and at the smooth part of the torsion bar. Residual compressive stresses were induced on the surface during the technological processes by cold surface rolling and torsional pre-strain (pre-setting) to the plastic range, to increase the elastic linear range and to reduce the stress state during torsional loading. Normally, the stress reduction in the torsion bar at the mounting point is provided by the increased diameter of the splined part, compared to the smooth part of the torsion bar. In the case of a small difference between the diameter of the splined and the smooth parts of the torsion bar, a fatigue crack can be initiated in the notch, which causes the torsion bar to break during operation after a few hundred loading cycles. FEM stress analysis of a torsion bar was performed in the article. The actual residual stresses were measured by the non-destructive X-ray method at the place of stress concentration on the smooth and splined parts with a notch of the torsion bar, and Dang Van’s failure criterion was used to determine the fatigue behavior during torsional loading. Therefore, in the paper, the three methods were combined to determine the optimum lifetime of a torsion bar exposed to the required cyclic torque. The results of the analysis showed that the residual compressive stresses are useful up to a certain limit where the retarded fatigue crack initiation occurred, but a further increase of compressive stress caused an increase of the maximum shear stresses, which, in turn, caused the initiation of fatigue and failure at the splined part of the torsion bar before achieving the required number of cycles.
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spelling doaj.art-60994d787072413888b77c9fe4fc2e542023-11-18T11:35:30ZengMDPI AGMetals2075-47012023-05-01136100410.3390/met13061004Effect of Residual Stresses on Fatigue Strength on the Smooth and Splined Parts of Spring Torsion BarsVinko Močilnik0Jožef Predan1Nenad Gubeljak2Faculty of Mechanical Engineering, University of Maribor, 2000 Maribor, SloveniaFaculty of Mechanical Engineering, University of Maribor, 2000 Maribor, SloveniaFaculty of Mechanical Engineering, University of Maribor, 2000 Maribor, SloveniaThe article discusses the effect of residual stresses on the fatigue strength of torsion bars by using the Dang Van fatigue criterion, at the stress concentration at the root of the tooth and at the smooth part of the torsion bar. Residual compressive stresses were induced on the surface during the technological processes by cold surface rolling and torsional pre-strain (pre-setting) to the plastic range, to increase the elastic linear range and to reduce the stress state during torsional loading. Normally, the stress reduction in the torsion bar at the mounting point is provided by the increased diameter of the splined part, compared to the smooth part of the torsion bar. In the case of a small difference between the diameter of the splined and the smooth parts of the torsion bar, a fatigue crack can be initiated in the notch, which causes the torsion bar to break during operation after a few hundred loading cycles. FEM stress analysis of a torsion bar was performed in the article. The actual residual stresses were measured by the non-destructive X-ray method at the place of stress concentration on the smooth and splined parts with a notch of the torsion bar, and Dang Van’s failure criterion was used to determine the fatigue behavior during torsional loading. Therefore, in the paper, the three methods were combined to determine the optimum lifetime of a torsion bar exposed to the required cyclic torque. The results of the analysis showed that the residual compressive stresses are useful up to a certain limit where the retarded fatigue crack initiation occurred, but a further increase of compressive stress caused an increase of the maximum shear stresses, which, in turn, caused the initiation of fatigue and failure at the splined part of the torsion bar before achieving the required number of cycles.https://www.mdpi.com/2075-4701/13/6/1004Dang Van fatigue criteriontorsion barspre-settinghigh-cycle fatigueresidual stress
spellingShingle Vinko Močilnik
Jožef Predan
Nenad Gubeljak
Effect of Residual Stresses on Fatigue Strength on the Smooth and Splined Parts of Spring Torsion Bars
Metals
Dang Van fatigue criterion
torsion bars
pre-setting
high-cycle fatigue
residual stress
title Effect of Residual Stresses on Fatigue Strength on the Smooth and Splined Parts of Spring Torsion Bars
title_full Effect of Residual Stresses on Fatigue Strength on the Smooth and Splined Parts of Spring Torsion Bars
title_fullStr Effect of Residual Stresses on Fatigue Strength on the Smooth and Splined Parts of Spring Torsion Bars
title_full_unstemmed Effect of Residual Stresses on Fatigue Strength on the Smooth and Splined Parts of Spring Torsion Bars
title_short Effect of Residual Stresses on Fatigue Strength on the Smooth and Splined Parts of Spring Torsion Bars
title_sort effect of residual stresses on fatigue strength on the smooth and splined parts of spring torsion bars
topic Dang Van fatigue criterion
torsion bars
pre-setting
high-cycle fatigue
residual stress
url https://www.mdpi.com/2075-4701/13/6/1004
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AT nenadgubeljak effectofresidualstressesonfatiguestrengthonthesmoothandsplinedpartsofspringtorsionbars