Burst Strength of Composite Cylinders – Assessment of the Type of Statistical Distribution
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Georg W. Mair
Abstract
Composite materials show an extraordinary change of properties depending on service life. This implies the necessity to find tailored methods to determine strength and residual strength of composite cylinders. This determination can be done by load cycle tests [1] or, in some cases, primarily by slow burst tests [2]. The results of both test methods need statistical assessment for the precise description of strength. Especially the statistical assessment of burst related strength properties has a high uncertainty. Sample size [3] and scatter distribution were identified as major influences on uncertainty. It is unclear if a Gaussian normal distribution, a Weibull distribution or others describe the scatter behaviour correctly. An assumption has to be found and confirmed to prevent overestimation of survival rate, respectively reliability, in the interval of one failure per 104 to 108 cylinders.
Kurzfassung
Faserverbundwerkstoffe (Komposite) zeigen außergewöhnliche Veränderungen ihrer Eigenschaften in Abhängigkeit von der Betriebsdauer. Daraus leitet sich auch die Notwendigkeit ab, eine Methode zu finden, die in der Lage ist, Festigkeiten und Restfestigkeiten von Komposit-Druckbehältern zu ermitteln. Dies kann mittels Lastwechselprüfung [1] oder in anderen Fällen vorzugsweise mittels der langsamen Berstprüfung [2] erfolgen. Für eine aussagekräftige Beschreibung der Festigkeit bedürfen die Ergebnisse beider Prüfverfahren einer statistischen Auswertung. Aber insbesondere die statistische Auswertung der berstbezogenen Festigkeitseigenschaften unterliegt neben der Frage der Stichprobengröße [3] einer großen Unsicherheit mit enormen Folgen. Dies ist die Frage, welche Verteilungsfunktion der Streuung der Festigkeitseigenschaft konservativ zugrundegelegt werden darf. So ist zu untersuchen, ob die Gauß‘sche Normalverteilung (NV) die wahre Verteilung richtig beschreibt. Es könnten aber auch andere Funktionen, wie z. B. die Weibull-Verteilung notwendig sein, um eine Überschätzung der Überlebenswahrscheinlichkeit bzw. Zuverlässigkeit in dem interessanten Bereich von einem Ausfall pro 104 bis 108 Druckbehältern zu vermeiden.
References
1 Technical annex LCT (load cycle test) of the concept additional tests CAT: Test Procedure “Hydraulic Load Cycle Test”, www.bam.de/en/service/amtl_mitteilungen/gefahrgutrecht/gefahrgutrecht_medien/druckgefr_regulation_on_retest_periods_technical_appendix_lct_en.pdfSearch in Google Scholar
2 Technical annex SBT (slow burst test) of the concept additional tests CAT: Test Procedure “Slow Burst Test”, http://www.bam.de/en/service/amtl_mitteilungen/gefahrgutrecht/gefahrgutrecht_medien/druckgefr_regulation_on_retest_periods_technical_appendix_sbt_en.pdfSearch in Google Scholar
3 B.Becker, G. W.Mair: Einfluss der Stichprobengröße auf die Bewertung der Überlebenswahrscheinlichkeit von Druckgefäßen aus Verbundwerkstoffen, Technische Sicherheit (TS)4 (2014), Nr. 7/8, pp. 59–65Search in Google Scholar
4 G. W.Mair, M.Hoffmann: Assessment of the residual strength thresholds of composite pressure receptacles – Criteria for hydraulic load cycle testing, Materials Testing55 (2013), No. 2, pp. 121–12910.3139/120.110413Search in Google Scholar
5 G. W.Mair, F.Scherer: Statistic evaluation of sample test results to determine residual strength of composite gas cylinders, Materials Testing55 (2013), No. 10, pp. 728–73610.3139/120.110494Search in Google Scholar
6 G. W.Mair, M.Hofmann, T.Schönfelder: Slow burst testing as method for probabilistic quantification of cylinder degradation, Proc. of the International Conference on Hydrogen Safety ICHS, Brussels: Conference Proceedings 2013, http://www.ichs2013.com/images/papers/102.pdfSearch in Google Scholar
7 G. W.Mair, M.Hoffmann, F.Scherer, A.Schoppa, M.Szczepaniak: Slow burst testing of samples as a method for quantification of composite cylinder degradation, International Journal of Hydrogen Energy (2014), 10.1016/j.ijhydene.2014.04.016Search in Google Scholar
8 K.Bosch: Großes Lehrbuch der Statistik, Oldenbourg Verlag, München (1996)10.1515/9783486788600Search in Google Scholar
9 Anderson-Darling: A Goodness of Fit Test for Small Samples Assumption, START10 (2003), No. 5, pp. 1–6Search in Google Scholar
10 G. W.Mair, F.Scherer, I.Scholz, T.Schönfelder: The residual strength of breathing air composite cylinders towards the end of their service life-A first assessment of real-life sample, Proc. of the 2014 ASME Pressure Vessels & Piping Conference, PVP2014-28168.10.1115/PVP2014-28168Search in Google Scholar
© 2014, Carl Hanser Verlag, München
Articles in the same Issue
- Inhalt/Contents
- Inhalt
- Fachbeiträge/Technical Contributions
- Burst Strength of Composite Cylinders – Assessment of the Type of Statistical Distribution
- Effects of Zn/Cu Ratio and Silicon on Microstructure, Mechanical Properties, Tarnish and Corrosion Resistance of As-Cast 940 Silver Alloys
- Analysis of the Frequency as an Integral Method for the Testing of Anisotropic 3D Sheet Metal Structure
- Mechanical and Thermal Properties of a Cu-CNT Composite with Carbon Nanotubes Synthesized by CVD Process
- The Mechanical and Electrical Properties of the Ternary Bi-Ga-Sb System
- Experimental Investigation of the Corrosion Mechanism of Cemented Soils in Magnesium Sulfate Solution
- Experimental and Analytical Study of Masonry Constructions Reinforced with Bed Joints
- The Fracture Toughness of Fe2B Formed on Boronized AISI 304
- Effects of Ferroboron and Ferrochromium Powder Addition on Abrasive Wear Resistance of Fe-Based Hardfacing Coatings
- Fabrication of Al/Mg Bimetal Compound Casting by Lost Foam Technique and Liquid-Solid Process
- Effects of Si and Zn on Machinability and Wear Resistance of AZ91 and AS91 Magnesium Alloys
- DIRECTT-Rekonstruktionen im Vergleich zur gefilterten Rückprojektion
- Reduzierung von Missing-Wedge-Artefakten der CT mit DIRECTT
- Röntgentomografische Untersuchung eines kommerziellen Lithium-Ionen-Kondensators*
- Machining Parameter Optimization of Bidirectional CFRP Composite Pipe by Genetic Algorithm
- Investigation of Lost Foam Casted Aluminum Bimetal Microstructures
- Taguchi-Based Grey Relation Optimization of Machining Parameters and Cutting Path Strategies in CNC Pocket Milling Operations
- Reliable Evaluation of Acceptability of Weld for Final Disposal Based on the Canister Copper Weld Inspection Using Different NDT Methods
- Evaluation of the Reliability of NDTesting in Russian Railway Transport
- Vorschau/Preview
- Vorschau
Articles in the same Issue
- Inhalt/Contents
- Inhalt
- Fachbeiträge/Technical Contributions
- Burst Strength of Composite Cylinders – Assessment of the Type of Statistical Distribution
- Effects of Zn/Cu Ratio and Silicon on Microstructure, Mechanical Properties, Tarnish and Corrosion Resistance of As-Cast 940 Silver Alloys
- Analysis of the Frequency as an Integral Method for the Testing of Anisotropic 3D Sheet Metal Structure
- Mechanical and Thermal Properties of a Cu-CNT Composite with Carbon Nanotubes Synthesized by CVD Process
- The Mechanical and Electrical Properties of the Ternary Bi-Ga-Sb System
- Experimental Investigation of the Corrosion Mechanism of Cemented Soils in Magnesium Sulfate Solution
- Experimental and Analytical Study of Masonry Constructions Reinforced with Bed Joints
- The Fracture Toughness of Fe2B Formed on Boronized AISI 304
- Effects of Ferroboron and Ferrochromium Powder Addition on Abrasive Wear Resistance of Fe-Based Hardfacing Coatings
- Fabrication of Al/Mg Bimetal Compound Casting by Lost Foam Technique and Liquid-Solid Process
- Effects of Si and Zn on Machinability and Wear Resistance of AZ91 and AS91 Magnesium Alloys
- DIRECTT-Rekonstruktionen im Vergleich zur gefilterten Rückprojektion
- Reduzierung von Missing-Wedge-Artefakten der CT mit DIRECTT
- Röntgentomografische Untersuchung eines kommerziellen Lithium-Ionen-Kondensators*
- Machining Parameter Optimization of Bidirectional CFRP Composite Pipe by Genetic Algorithm
- Investigation of Lost Foam Casted Aluminum Bimetal Microstructures
- Taguchi-Based Grey Relation Optimization of Machining Parameters and Cutting Path Strategies in CNC Pocket Milling Operations
- Reliable Evaluation of Acceptability of Weld for Final Disposal Based on the Canister Copper Weld Inspection Using Different NDT Methods
- Evaluation of the Reliability of NDTesting in Russian Railway Transport
- Vorschau/Preview
- Vorschau