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Comparison of three methods for determining Vickers hardness by instrumented indentation testing

  • Jialiang Wang
Published/Copyright: October 2, 2017
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Materials Testing
From the journal Materials Testing Volume 59 Issue 10

Abstract

To address the problem of poor accuracy associated with using instrumented indentation tests to determine Vickers hardness, and the problem of selection of the most appropriate instrumented indentation approach, the finite element method was adopted to determine theoretical Vickers hardness values of different materials. On the basis of these theoretical values, a theoretical accuracy analysis of three representative methods was conducted for determining Vickers hardness via instrumented indentation: ISO method, Kang method and Ma method. Moreover, the results of the analysis were experimentally verified. The results show that with increasing ratio between the unloading work We and total unloading work Wt (i. e., We/Wt), the theoretical error of Vickers hardness determined using each of the investigated instrumented indentation methods initially decreases and then increases. Compared to the other two instrumented indentation methods, the Ma method gave the lowest theoretical error of Vickers hardness. When the We/Wt ratio ranged from 0.01 to 0.3, with different values of the plane strain elastic modulus ratio η and strain-hardening ratio n, the errors of Vickers hardness determined using each of the investigated methods were all discrete. By contrast, when We/Wt ranged from 0.3 to 0.81, the errors were relatively concentrated. This work provides a theoretical basis for the further study of new methods for determining Vickers hardness via instrumented indentation testing.

Kurzfassung

Um die Schwierigkeit einer geringen Genauigkeit bei der Verwendung von instrumentierten Eindringversuchen zur Bestimmung der Vickershärte in Verbindung mit der Wahl des am besten geeigneten Eindringversuches zu lösen, wurde die Finite Elemente Methode angewandt, um die theoretischen Vickershärtewerte von verschiedenen Materialien zu ermitteln. Auf der Basis dieser theoretischen Werte wurde eine theoretische Akkuranzanalyse von drei repräsentativen Verfahren zur Bestimmung der Vickershärte durchgeführt, das ISO-, das Kang- und das Ma-Verfahren. Darüber hinaus wurden die Ergebnisse der Analyse experimentell verifiziert. Die Ergebnisse zeigen, dass mit ansteigendem Verhältnis We/Wt zwischen der Entlastungsarbeit We und der gesamten Arbeit Wt, der theoretische Fehler der Vickershärte, die mit jedem der untersuchten instrumentellen Eindringprüfungen bestimmt wurde, zunächst abnimmt und dann ansteigt. Im Vergleich zu den beiden anderen instrumentierten Eindringversuchen ergab sich für das Ma-Verfahren der niedrigste theoretische Fehler für die Vickershärte. Im Bereich des We/Wt-Verhältnisses zwischen 0,01 und 0,3 und mit verschiedenen Werten des Verhältnisses η des elastischen Modules für den ebenen Dehnungszustand und des Verfestigungsverhältnisses n waren die Fehler der mit jedem der Verfahren bestimmten Vickershärte alle diskret. Im Gegensatz dazu waren die Fehler alle relativ konzentreirt, wenn das Verhältnis We/Wt zwischen 0,3 und 0,81 betrug. Die vorliegende Arbeit stellt eine theoretische Basis für weitere Studien von neuen Verfahren zur Bestimmung der Vickershärte mittels instrumentierter Eindringprüfung dar.

*Correspondence Address, Dr. Jialiang Wang, College of Equipment Engineering, Engineering University of Chinese Armed Police Force, No.1 Wujing Road, Weiyang District, Xi'an, 710086, P. R. China, E-mail:

Dr. Jialiang Wang, born in 1986, finished his studies at Academy of Armored Forces Engineering in Beijing, P. R. China, in 2015 and received his PhD degree in Mechanical Engineering. Then, he joined the College of Equipment Engineering, Engineering University of the Chinese Armed Police Force in Xi'an. His professional experience is in mechanics and materials testing.

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Published Online: 2017-10-02
Published in Print: 2017-10-04

© 2017, Carl Hanser Verlag, München

Articles in the same Issue

  1. Inhalt/Contents
  2. Contents
  3. Fachbeiträge/Technical Contributions
  4. Comparative investigation of two-dimensional imaging methods and X-ray tomography in the characterization of microstructure
  5. Statistical analysis of weld bead geometry in Ti6Al4V laser cladding
  6. Effects of TiB2 nanoparticle content on the microstructure and mechanical properties of aluminum matrix nanocomposites
  7. Experimental investigation of fiber reinforced composite leaf springs
  8. Untersuchungskonzept zur praxisnahen Abschätzung des Korrosionsverhaltens von Schließringbolzenverbindungen
  9. Comparison of three methods for determining Vickers hardness by instrumented indentation testing
  10. Effect of isothermal quenching on microstructure and properties of a forged and unforged Fe-B cast alloy
  11. Abrasive wear and frictional behavior of polyoxymethylen
  12. Effect of La doping on crystalline orientation, microstructure and dielectric properties of PZT thin films
  13. Characterization of adhesively bonded high strength steel surfaces treated with grit blasting and self-indicating pretreatment (SIP) adhesion mediator
  14. Taguchi optimization of surface roughness and flank wear during the turning of DIN 1.2344 tool steel
  15. Identification of the damage degree of concrete with different water cement ratios using the acousto-ultrasonic technique
  16. ANN surface roughness prediction of AZ91D magnesium alloys in the turning process
  17. Microstructure, wear and friction behavior of AISI 1045 steel surfaces coated with mechanically alloyed Fe16Mo2C0.25Mn/Al2O3-3TiO2 powders
  18. Application of a clay-slag geopolymer matrix for repairing damaged concrete: Laboratory and industrial-scale experiments
https://doi.org/10.3139/120.111081

Articles in the same Issue

  1. Inhalt/Contents
  2. Contents
  3. Fachbeiträge/Technical Contributions
  4. Comparative investigation of two-dimensional imaging methods and X-ray tomography in the characterization of microstructure
  5. Statistical analysis of weld bead geometry in Ti6Al4V laser cladding
  6. Effects of TiB2 nanoparticle content on the microstructure and mechanical properties of aluminum matrix nanocomposites
  7. Experimental investigation of fiber reinforced composite leaf springs
  8. Untersuchungskonzept zur praxisnahen Abschätzung des Korrosionsverhaltens von Schließringbolzenverbindungen
  9. Comparison of three methods for determining Vickers hardness by instrumented indentation testing
  10. Effect of isothermal quenching on microstructure and properties of a forged and unforged Fe-B cast alloy
  11. Abrasive wear and frictional behavior of polyoxymethylen
  12. Effect of La doping on crystalline orientation, microstructure and dielectric properties of PZT thin films
  13. Characterization of adhesively bonded high strength steel surfaces treated with grit blasting and self-indicating pretreatment (SIP) adhesion mediator
  14. Taguchi optimization of surface roughness and flank wear during the turning of DIN 1.2344 tool steel
  15. Identification of the damage degree of concrete with different water cement ratios using the acousto-ultrasonic technique
  16. ANN surface roughness prediction of AZ91D magnesium alloys in the turning process
  17. Microstructure, wear and friction behavior of AISI 1045 steel surfaces coated with mechanically alloyed Fe16Mo2C0.25Mn/Al2O3-3TiO2 powders
  18. Application of a clay-slag geopolymer matrix for repairing damaged concrete: Laboratory and industrial-scale experiments
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