Extension of the static equivalent stress hypotheses to linearly vibrating systems using wave interference – The LiWi approach
Source abstract
Abstract
Abstract This paper presents a damage-equivalent stress, to be related to uniaxial S-N curves for mechanical systems undergoing multiaxial stress cycles for evaluating fatigue strength. It covers variable and non-proportional loads, wherein the known static equivalent-stresses from von-Mises, Tresca and Rankine are extended to oscillating systems using wave interference. This novel approach is termed as LiWI (Linear Wave Interference) and leads to physically valid signal progressions, allowing for frequency content preservation, rotational invariance and application to static cases. Hence a unification of the equivalent stress descriptions in time, frequency and stochastic (power spectral density) domains for linear time invariant systems results.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Fatigue and fracture mechanics · Structural Health Monitoring Techniques · Probabilistic and Robust Engineering Design
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References (54)
Show source-provided references
1. A critical plane approach to multiaxial fatigue damage including out-of-phase-loading10.1111/j.1460-2695.1988.tb01169.x ↗
2. A general fatigue theory and its application to out-of-phase cyclic loading10.1115/1.2904239 ↗
3. Bishop · 2000
4. Hahn M. Festigkeitsberechnung und Lebensdauerabschätzung für metallische Bauteile unter mehrachsig schwingender Beanspruchung, Dissertation, TU Berlin, 1995.
5. Mohr’s circle and equivalent stress criteria for proportional and nonproportional loadingsbeanspruchungen
6. A theory for the effect of mean stress on fatigue of metals under combined torsion and axial load or bending
7. An explanation on fatigue limit under combined stress10.1299/jsme1958.20.257 ↗
8. A bi-parametric wohler curve for high cycle multiaxial fatigue assessment10.1046/j.1460-2695.2002.00462.x ↗
9. A stress–based method to predict lifetime under multiaxial fatigue loadings10.1046/j.1460-2695.2003.00723.x ↗
10. Critical plane approaches in high-cycle fatigue: On the definition of the amplitude and mean value of the shear stress acting on the critical plane10.1046/j.1460-2695.1998.00459.x ↗
11. A comparative study of multiaxial high-cycle fatigue criteria for metals10.1016/S0142-1123(96)00064-3 ↗
12. Fatigue assessment of mechanical components under complex multiaxial loading
13. Cristofori · 2007
14. On the fatigue limit of ductile metals under complex multiaxial loading10.1016/S0142-1123(99)00107-3 ↗
15. Gross D, Hauger W, Schröder J, Wall WA. Technische Mechanik 2. 11th ed. Berlin Heidelberg: Springer-Lehrbuch, Springer; 2012. doi:10.1007/978-3-642-19984-4.10.1007/978-3-642-19984-4 ↗
16. Effect of large hydroscopic pressures on the torsional fatigue strength of an alloy steel
17. Sines · 1959
18. Deperrois · 1991
19. A procedure for fast evaluation of high-cycle fatigue under multiaxial random loading
20. Fatigue calculation for transient proportional and non-proportional multiaxial vibrational stress for component optimisation based on the modified mohr-mises-hypothesis10.1016/j.ijfatigue.2020.105643 ↗
21. Predicting random high-cycle fatigue life with finite elements10.1115/1.2930420 ↗
22. Determining the von mises stress power spectral density for frequency domain fatigue analysis including out-of-phase stress components10.1016/j.jsv.2006.11.025 ↗
23. Local multiaxial fatigue damage estimation for structures under random vibrations10.1016/j.finel.2017.04.003 ↗
24. Multiaxial fatigue damage estimation of structures under random vibrations using matsubara’s criterion10.1016/j.ijfatigue.2019.03.003 ↗
25. Spectral methods to estimate local multiaxial fatigue failure for structures undergoing random vibrations10.1046/j.1460-2695.2001.00394.x ↗
26. Spectral methods for multiaxial random fatigue analysis of metallic structures10.1016/S0142-1123(00)00038-4 ↗
27. A frequency-domain formulation of mce method for multi-axial random loadings10.1111/j.1460-2695.2008.01283.x ↗
28. Formulation of multiaxial fatigue failure criteria for spectral method10.1016/j.ijfatigue.2020.105519 ↗
29. Söder G. Stochastische Signaltheorie, LNTwww, 2018.
30. Basic principles of spectral multi-axial fatigue analysis10.1016/j.proeng.2015.02.006 ↗
31. On the probability density function of rainflow stress range for stationary gaussian processes10.1016/0142-1123(92)90088-T ↗
32. Dirlik · 1985
33. Shin · 2008
34. The equivalent stress concept in multiaxial fatigue
35. Comparison of equivalent stress methods with critical plane approaches for multiaxial high cycle fatigue assessment10.1016/j.prostr.2017.07.049 ↗
36. A time dependent equivalent stress function for proportional and non-proportional transient loaded and notched metallic components10.1016/j.ijfatigue.2017.06.003 ↗
37. Norton · 2012
38. Gross · 2010
39. An efficient method for calculating r.m.s. von mises stress in a random vibration environment10.1006/jsvi.1999.2606 ↗
40. Rauscher · 2000
41. Gasch · 2012
42. Haibach · 2006
43. Radaj · 2007
44. Wirsching · 2006
45. Fast and exact synthesis of stationary multivariate gaussian time series using circulant embedding10.1016/j.sigpro.2010.10.014 ↗
46. Generation of correlated stress time histories from continuous turbulence power spectral density for fatigue analysis of aircraft structures
47. Ahn · 1982
48. Bendat · 2010
49. Nguyen NB. Entwicklung einer numerisch gestützten Methodik zur betriebsfesten Vorauslegung von Fahrzeugkomponenten unter stochastischer und mehrachsiger Vibrationsbelastung, Dissertation, TU Darmstadt, 2014.
50. Schmidt A. Betriebsfestigkeit unter stochastischen Belastungen, Dissertation, TU Darmstadt, Darmstadt, 2020.
51. Rainflow HCM - Ein Zählverfahren für Betriebsfestigkeitsnachweise auf werkstoffmechanischer Grundlage
52. Fiedler · 2019
53. Biaxial high-cycle fatigue life assessment of ductile aluminium cruciform specimens10.1016/j.tafmec.2014.08.007 ↗
54. Tipler · 2015