Determination and experimental verification of the relation between stress amplitude and vibration amplitude in the VHCF regime

Determination and experimental verification of the relation between stress amplitude and vibration amplitude in the VHCF regime

Piotr Swacha, Adam Lipski, Michał Piotrowski

download PDF

Abstract. Fatigue tests conducted on ultrasonic machines are a relatively new testing method.
The operation of test rig at a load frequency of 20 kHz and the numerical way of determining
the relationship between the stress amplitude and an indirect method for determining the strain
in the middle part of the sample causes researchers to feel uncertain about the stress value
in the specimens. Purpose of this paper is to present experimental verification of the relationship between stress amplitude and vibration amplitude in the regime of Very High Cycle Fatigue,
also the calibration procedure of the ultrasonic machine is demonstrated. The paper presents
the methodology based on FEM that is used to determine the relationship between the stress amplitude in the smallest cross-section of the sample and the vibration amplitude for selected geometry.

Keywords
Very High Cycle Fatigue, Ultrasonic Testing, Strain Measurements, Stress Amplitude, Vibration Amplitude, Strain Gauge

Published online , 8 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Piotr Swacha, Adam Lipski, Michał Piotrowski, Determination and experimental verification of the relation between stress amplitude and vibration amplitude in the VHCF regime, Materials Research Proceedings, Vol. 30, pp 75-82, 2023

DOI: https://doi.org/10.21741/9781644902578-11

The article was published as article 11 of the book Experimental Mechanics

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

References
[1] Kocańda S., Szala J., Basic of fatigue calculation. Polish Scientific Publishers PWN, Warsaw 1997.
[2] Mason W.P., Piezoelectric crystals and their application to ultrasonics. Van Nostrand, New York 1950.
[3] Mason W. P., Internal Friction and Fatigue in Metals at Large Strain Amplitudes, J Acoust Soc Am, Vol. 28, No. 6, p. 1207, 1956. https://doi.org/10.1121/1.1908595
[4] Bathias C., Ni J., Wu T., An Automatic Ultrasonic Fatigue Testing System for Studying Low Crack Growth at Room and High Temperatures. STP 13973S, ASTM International, 1994.
[5]  Bathias C., Paris C., Gigacycle fatigue in mechanical practice. New York, Marcel Dekker, 2004. https://doi.org/10.1201/9780203020609
[6] Shaniavski A. A., Skvortsov G. V., Crack growth in the gigacycle fatigue regime for helicopter gears, Fatigue Fract Eng Mater Struct, Vol. 22, No. 7, pp. 609–619, 1999. https://doi.org/10.1046/j.1460-2695.1999.00188.x
[7] Swacha P., Lipski A., Cracking of S355J2+N Steel in the High-Cycle and Very-High-Cycle Fatigue Regimes, Int J Fatigue, p. 107388, 2023. https://doi.org/10.1016/j.ijfatigue.2022.107388