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Some aspects of safe-life and damage tolerant design of railway axles

Some aspects of safe-life and damage tolerant design of railway axles

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<strong>Some</strong> Aspects <strong>of</strong> Safe-Life <strong>and</strong><br />

Damage Tolerance <strong>of</strong> Railway<br />

Axles<br />

ESIS TC 24 Workshop on „Improving Lifetime <strong>and</strong> NDT“, Milan, 30 March 2012<br />

Uwe Zerbst<br />

BAM Berlin


Axle fracture ICE3, 9 July 2008<br />

Press photo<br />

ICE 518, Hohenzollern Bridge<br />

Fracture after 10 9 loading cycles<br />

Expert‘s report (BAM)<br />

Cause: non-metallic inclusions<br />

in the highly stressed volume?<br />

Source: ARD, Monitor<br />

2008-11-06


Design <strong>and</strong> operation: Safety levels<br />

State-<strong>of</strong>-the-art


Primary (Basic) Safety Level<br />

Present state: Quasi-static <strong>design</strong><br />

- dynamic magnification factors<br />

- synchrone loading<br />

- Safety margins for VHCF etc.<br />

- Corrosion: Reduction <strong>of</strong> stress level to 70% (EN 13261)


Effect <strong>of</strong> corrosion<br />

Effect <strong>of</strong> corrosion medium<br />

(rain water) on S-N curve<br />

Beretta et al.;<br />

Polimi Mail<strong>and</strong>, 2010<br />

Dramatic Limitation <strong>of</strong> Service Time<br />

or<br />

Protection<br />

Measures<br />

LURSAK ®


Basic Safety Level<br />

Present state: Quasi-static <strong>design</strong><br />

- dynamic magnification factors<br />

- synchrone loading<br />

- Safety margins for VHCF etc.<br />

- Corrosion: Reduction <strong>of</strong> stress level to 70% (EN 13261)<br />

Proposals: Damage accumulation <strong>design</strong> (Eisenbahnfahrwerke 1; WIDEM; etc.)<br />

- different approaches<br />

- classified load spectra necessary


Does load accumulation<br />

„cover“ VHCF?<br />

Concepts for Fatigue<br />

Strength Design<br />

VHCF<br />

Beretta et al.


Basic Safety Level<br />

Present state: Quasi-static <strong>design</strong><br />

- dynamic magnification factors<br />

- synchrone loading<br />

- Safety margins for VHCF etc.<br />

- Corrosion: Reduction <strong>of</strong> stress level to 70% (EN 13261)<br />

Proposals: Damage accumulation <strong>design</strong> (Eisenbahnfahrwerke 1; WIDEM; etc.)<br />

- different approaches<br />

- classified load load spectra necessary<br />

„One million miles axle“ (A. Lawton, 2003; WIDEM)<br />

- Design such, that 10 9 LC realised under most<br />

disadvantageous conditions<br />

- Inclusion <strong>of</strong> fracture mechanics


Conventional S-N Curve <strong>and</strong> S-N Curve Based<br />

on Fracture Mechanics<br />

(Initial Crack depth: 2 mm)<br />

Beretta et al.


Factors, which reduce fatigue strength<br />

during service (1)<br />

Service conditions Max. Corrosion pit depth in in mm<br />

Relatively well protected against<br />

corrosion<br />

Corrosion typical or a bit more<br />

severe than typical<br />

Significantly more severe (wagon<br />

carrying corrosion freight<br />

Korrosionseinfluss<br />

* British Rail Safety <strong>and</strong> St<strong>and</strong>ards Board<br />

TWI<br />

0.043<br />

0.076<br />

0.346<br />

Estimated<br />

maximum<br />

(1 axle)<br />

0.1<br />

0.24<br />

0.82<br />

Beretta et al.<br />

Estijmated<br />

maximum<br />

(fleet)<br />

0.13<br />

0.35<br />

1.02<br />

Corrosion pits<br />

(mainly freight wagons)<br />

T278 Projekt <strong>of</strong><br />

BRSSB*<br />

Watson


Factors, which reduce fatigue strength<br />

during service (2)<br />

Failure case Australia 2007<br />

Beretta et al.<br />

T278 Projekt <strong>of</strong> BRSSB:<br />

Average depth: 0,8 mm<br />

95% Maximum depth: 2 mm<br />

Stress concentration<br />

(Ceril et al. 2009)<br />

for a/c = 1 K t = 2.15<br />

However:<br />

Flying ballast impacts<br />

(above all high speed traffic)<br />

- Complex residual stress field<br />

- Cracks at notch root?<br />

- Combination with corrosion<br />

K<br />

t<br />

<br />

<br />

1 6.6 a 2c<br />

<br />

1 2 a 2c<br />

With respect to corrosion <strong>and</strong> ballast<br />

impacts protection measures possible


Optimised Geometry:<br />

Berlin 1940s<br />

based on fatigue<br />

<strong>life</strong> experiments<br />

K which, by its nature, not a stress concentration<br />

but kind <strong>of</strong> a fatigue notch factor, although reciprocally<br />

proportional to the usual definition, i.e., K > 1<br />

Depends not only on the notch geometry but also on<br />

material<br />

Empirically derived for A1 steel (UIC Leaflet 881-V,<br />

1979); tensile strength between 550 <strong>and</strong> 650 MPa<br />

K solutions cannot be simply applied to higher<br />

strength <strong>railway</strong> axle steels<br />

Note further: stress state at the geometrical transitions<br />

not only influenced by applied loading <strong>and</strong> notch geo-<br />

metry but also by the press fits (additional axial tensile<br />

stresses adjacent to the press seat regions)<br />

More fundamental investigation is necessary<br />

for deviating geometries:<br />

EN 13103 <strong>and</strong> EN 13104


Loading <strong>of</strong> an Axle<br />

Static <strong>and</strong> dynamic axle loads<br />

Bending <strong>and</strong> axial tension at curved<br />

track sections, crossovers <strong>and</strong><br />

switches<br />

Torsion during traction <strong>and</strong> braking,<br />

Higher frequency loading due to<br />

stick-slip behaviour<br />

Press fit loading<br />

Residual stresses<br />

from manu-<br />

facturing<br />

Hirakawa et al., 1998<br />

Madia et al., 2008


Problem: non-metallic Inclusions<br />

ICE3 axle <strong>of</strong> Köln<br />

Failure investigations: BAM<br />

C. Klinger et al.<br />

ultrasonic immersion technique


Non-metallic<br />

Inclusions:<br />

Origin in<br />

Manufacturing<br />

Process<br />

Effect on Lifetime:<br />

C-Steel; Ma et al., 2010


Non-metallic inclusions<br />

Allowed maximum depth(EN 13261 referring to ISO 4967)<br />

Verification: metallographic; requirerd test area min. 200 mm 2<br />

no specification on sampling volume<br />

Problem: Inclusions <strong>of</strong> critical size at critical position<br />

rather seldom.<br />

Statistics <strong>of</strong> European Railway Agency for the EU 2006 - 2009:<br />

- 1 fracture event per 2 Billions axle kilometers<br />

- also other mechanicsm than fatigue (e.g., hot box failure)<br />

It is certainly inconsistent to look for seldom events by a very limited sample!


Proposal:<br />

Establish as-is state <strong>of</strong> inclusions<br />

Establish NDT method (e.g. US immersion<br />

technique for throughout detection <strong>of</strong> inclusions<br />

above a certain size<br />

Realistic (limit) size: 0.5 mm?<br />

(relevant: Inclusion dimensions normal to axle)<br />

Inclusions smaller than those found by NDT assumed as existent<br />

Establish correction factor for fatigue strength


Design <strong>and</strong> operation: Safety levels


Secondary Safety Level<br />

PoD = probability <strong>of</strong> detection


Inspektion interval<br />

Aim: Economically justifiable inspektion interval combined with a high probability<br />

for crack detection (PoD)<br />

Non-detection probability (PoND) corresponds with probability that a potential<br />

crack will be found in due time bevor the axle fails<br />

Parameters affecting overall PoD:<br />

<br />

PODoverall 1PONDi i <br />

- Inspektion interval (respectively number <strong>of</strong> inspections)<br />

- Residual <strong>life</strong>time (Fracture mechanics analysis)<br />

- PoD-crack depth-characteristics (NDT)<br />

i = i-th inspection


Potential Margins with<br />

Respect to Inspektion<br />

intervals<br />

Improved Fracture mechanics<br />

analysis, particularly in the threshold<br />

range (S)<br />

Variable amplitude loading<br />

- Both not unproblematic<br />

- Effect rather small (?)


Problem: Threshold region <strong>of</strong><br />

Fatigue crack propagation DK th


Potential Margins with<br />

Respect to Inspektion<br />

intervals<br />

Improved Fracture mechanics<br />

analysis, particularly in the threshold<br />

range (S)<br />

Variable amplitude loading<br />

- Both not unproblematic<br />

- Effect rather small (?)<br />

Improvement <strong>of</strong> POD<br />

Results: WIDEM (manual testing)


Potential for Improvement <strong>of</strong> the PoD (1)<br />

Interpretation <strong>of</strong> A-scans instead <strong>of</strong> gate mode technique<br />

Optimisation <strong>of</strong> angle <strong>of</strong> incidence with respect to geometry<br />

(Phased Array Technik)<br />

Advanced methods such as echo tomograpgy, SAFT, etc.<br />

Regions <strong>of</strong> increased danger: generally „Analyseprüfung“<br />

However: limited time for a test as a second essential goal<br />

Validation <strong>and</strong> calibration <strong>of</strong> test equipment for real cracks!


Potential for Improvement <strong>of</strong> the PoD (2)<br />

Caution: real cracks behalf<br />

different to saw cuts in<br />

ultrasonic testing!


Thanks for your attention<br />

More detailled information:<br />

uwe.zerbst@bam.de

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